एलजेब्रा उदाहरण

$f (x) = \frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$

चरण 1

$f (x) = \frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$ को एक समीकरण के रूप में लिखें.

$y = \frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$

चरण 2

चर को एकदूसरे के साथ बदलें.

$x = \frac{{(y - 9)}^{\frac{1}{5}} + 5}{4}$

चरण 3

$y$ के लिए हल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.1

समीकरण को $\frac{{(y - 9)}^{\frac{1}{5}} + 5}{4} = x$ के रूप में फिर से लिखें.

$\frac{{(y - 9)}^{\frac{1}{5}} + 5}{4} = x$

चरण 3.2

समीकरण के दोनों पक्षों को $4$ से गुणा करें.

$4 \frac{{(y - 9)}^{\frac{1}{5}} + 5}{4} = 4 x$

चरण 3.3

बाईं ओर को सरल बनाएंं.

और स्टेप्स के लिए टैप करें…

चरण 3.3.1

$4$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 3.3.1.1

उभयनिष्ठ गुणनखंड रद्द करें.

$4 \frac{{(y - 9)}^{\frac{1}{5}} + 5}{4} = 4 x$

चरण 3.3.1.2

व्यंजक को फिर से लिखें.

${(y - 9)}^{\frac{1}{5}} + 5 = 4 x$

चरण 3.4

समीकरण के दोनों पक्षों से $5$ घटाएं.

${(y - 9)}^{\frac{1}{5}} = 4 x - 5$

चरण 3.5

बाईं ओर के भिन्नात्मक घातांक को समाप्त करने के लिए समीकरण के प्रत्येक पक्ष को $5$ की घात तक बढ़ाएँ.

${({(y - 9)}^{\frac{1}{5}})}^{5} = {(4 x - 5)}^{5}$

चरण 3.6

घातांक को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.6.1

बाईं ओर को सरल बनाएंं.

और स्टेप्स के लिए टैप करें…

चरण 3.6.1.1

${({(y - 9)}^{\frac{1}{5}})}^{5}$ को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.6.1.1.1

घातांक को ${({(y - 9)}^{\frac{1}{5}})}^{5}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 3.6.1.1.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

${(y - 9)}^{\frac{1}{5} \cdot 5} = {(4 x - 5)}^{5}$

चरण 3.6.1.1.1.2

$5$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 3.6.1.1.1.2.1

उभयनिष्ठ गुणनखंड रद्द करें.

${(y - 9)}^{\frac{1}{5} \cdot 5} = {(4 x - 5)}^{5}$

चरण 3.6.1.1.1.2.2

व्यंजक को फिर से लिखें.

${(y - 9)}^{1} = {(4 x - 5)}^{5}$

चरण 3.6.1.1.2

सरल करें.

$y - 9 = {(4 x - 5)}^{5}$

चरण 3.6.2

दाईं ओर को सरल बनाएंं.

और स्टेप्स के लिए टैप करें…

चरण 3.6.2.1

${(4 x - 5)}^{5}$ को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.6.2.1.1

द्विपद प्रमेय का प्रयोग करें.

$y - 9 = {(4 x)}^{5} + 5 {(4 x)}^{4} \cdot - 5 + 10 {(4 x)}^{3} {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.6.2.1.2.1

उत्पाद नियम को $4 x$ पर लागू करें.

$y - 9 = 4^{5} x^{5} + 5 {(4 x)}^{4} \cdot - 5 + 10 {(4 x)}^{3} {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.2

$4$ को $5$ के घात तक बढ़ाएं.

$y - 9 = 1024 x^{5} + 5 {(4 x)}^{4} \cdot - 5 + 10 {(4 x)}^{3} {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.3

उत्पाद नियम को $4 x$ पर लागू करें.

$y - 9 = 1024 x^{5} + 5 (4^{4} x^{4}) \cdot - 5 + 10 {(4 x)}^{3} {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.4

$4$ को $4$ के घात तक बढ़ाएं.

$y - 9 = 1024 x^{5} + 5 (256 x^{4}) \cdot - 5 + 10 {(4 x)}^{3} {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.5

$256$ को $5$ से गुणा करें.

$y - 9 = 1024 x^{5} + 1280 x^{4} \cdot - 5 + 10 {(4 x)}^{3} {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.6

$- 5$ को $1280$ से गुणा करें.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 10 {(4 x)}^{3} {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.7

उत्पाद नियम को $4 x$ पर लागू करें.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 10 (4^{3} x^{3}) {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.8

$4$ को $3$ के घात तक बढ़ाएं.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 10 (64 x^{3}) {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.9

$64$ को $10$ से गुणा करें.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 640 x^{3} {(- 5)}^{2} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.10

$- 5$ को $2$ के घात तक बढ़ाएं.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 640 x^{3} \cdot 25 + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.11

$25$ को $640$ से गुणा करें.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} + 10 {(4 x)}^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.12

उत्पाद नियम को $4 x$ पर लागू करें.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} + 10 (4^{2} x^{2}) {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.13

$4$ को $2$ के घात तक बढ़ाएं.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} + 10 (16 x^{2}) {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.14

$16$ को $10$ से गुणा करें.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} + 160 x^{2} {(- 5)}^{3} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.15

$- 5$ को $3$ के घात तक बढ़ाएं.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} + 160 x^{2} \cdot - 125 + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.16

$- 125$ को $160$ से गुणा करें.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 5 (4 x) {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.17

$4$ को $5$ से गुणा करें.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 20 x {(- 5)}^{4} + {(- 5)}^{5}$

चरण 3.6.2.1.2.18

$- 5$ को $4$ के घात तक बढ़ाएं.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 20 x \cdot 625 + {(- 5)}^{5}$

चरण 3.6.2.1.2.19

$625$ को $20$ से गुणा करें.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x + {(- 5)}^{5}$

चरण 3.6.2.1.2.20

$- 5$ को $5$ के घात तक बढ़ाएं.

$y - 9 = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3125$

चरण 3.7

$y$ वाले सभी पदों को समीकरण के दाईं ओर ले जाएं.

और स्टेप्स के लिए टैप करें…

चरण 3.7.1

समीकरण के दोनों पक्षों में $9$ जोड़ें.

$y = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3125 + 9$

चरण 3.7.2

$- 3125$ और $9$ जोड़ें.

$y = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3116$

चरण 4

अंतिम उत्तर दिखाने के लिए $y$ को $f^{- 1} (x)$ से बदलें.

$f^{- 1} (x) = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3116$

चरण 5

सत्यापित करें कि क्या $f^{- 1} (x) = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3116$ , $f (x) = \frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$ का व्युत्क्रम है.

और स्टेप्स के लिए टैप करें…

चरण 5.1

व्युत्क्रम सत्यापित करने के लिए, जांचें कि क्या $f^{- 1} (f (x)) = x$ और $f (f^{- 1} (x)) = x$ .

चरण 5.2

$f^{- 1} (f (x))$ का मान ज्ञात करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.1

समग्र परिणाम फलन सेट करें.

$f^{- 1} (f (x))$

चरण 5.2.2

$f^{- 1}$ में $f$ का मान प्रतिस्थापित करके $f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})$ का मान ज्ञात करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = 1024 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.1

उत्पाद नियम को $\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$ पर लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = 1024 (\frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{5}}{4^{5}}) - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.2

$4$ को $5$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = 1024 (\frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{5}}{1024}) - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.3

$1024$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.3.1

उभयनिष्ठ गुणनखंड रद्द करें.

चरण 5.2.3.3.2

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = {({(x - 9)}^{\frac{1}{5}} + 5)}^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.4

द्विपद प्रमेय का प्रयोग करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = {({(x - 9)}^{\frac{1}{5}})}^{5} + 5 {({(x - 9)}^{\frac{1}{5}})}^{4} \cdot 5 + 10 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5^{2} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.5.1

घातांक को ${({(x - 9)}^{\frac{1}{5}})}^{5}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.5.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = {(x - 9)}^{\frac{1}{5} \cdot 5} + 5 {({(x - 9)}^{\frac{1}{5}})}^{4} \cdot 5 + 10 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5^{2} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.1.2

$5$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.5.1.2.1

उभयनिष्ठ गुणनखंड रद्द करें.

चरण 5.2.3.5.1.2.2

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = (x - 9) + 5 {({(x - 9)}^{\frac{1}{5}})}^{4} \cdot 5 + 10 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5^{2} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.2

सरल करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 5 {({(x - 9)}^{\frac{1}{5}})}^{4} \cdot 5 + 10 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5^{2} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.3

घातांक को ${({(x - 9)}^{\frac{1}{5}})}^{4}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.5.3.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 5 {(x - 9)}^{\frac{1}{5} \cdot 4} \cdot 5 + 10 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5^{2} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.3.2

$\frac{1}{5}$ और $4$ को मिलाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 5 {(x - 9)}^{\frac{4}{5}} \cdot 5 + 10 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5^{2} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.4

$5$ को $5$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 10 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5^{2} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.5

घातांक को ${({(x - 9)}^{\frac{1}{5}})}^{3}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.5.5.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 10 {(x - 9)}^{\frac{1}{5} \cdot 3} \cdot 5^{2} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.5.2

$\frac{1}{5}$ और $3$ को मिलाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 10 {(x - 9)}^{\frac{3}{5}} \cdot 5^{2} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.6

$5$ को $2$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 10 {(x - 9)}^{\frac{3}{5}} \cdot 25 + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.7

$25$ को $10$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 10 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.8

घातांक को ${({(x - 9)}^{\frac{1}{5}})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.5.8.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 10 {(x - 9)}^{\frac{1}{5} \cdot 2} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.8.2

$\frac{1}{5}$ और $2$ को मिलाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 10 {(x - 9)}^{\frac{2}{5}} \cdot 5^{3} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.9

$5$ को $3$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 10 {(x - 9)}^{\frac{2}{5}} \cdot 125 + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.10

$125$ को $10$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 5 {(x - 9)}^{\frac{1}{5}} \cdot 5^{4} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.11

घातांक जोड़कर $5$ को $5^{4}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.5.11.1

$5^{4}$ ले जाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 5^{4} \cdot (5 {(x - 9)}^{\frac{1}{5}}) + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.11.2

$5^{4}$ को $5$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.5.11.2.1

$5$ को $1$ के घात तक बढ़ाएं.

चरण 5.2.3.5.11.2.2

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 5^{4 + 1} {(x - 9)}^{\frac{1}{5}} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.11.3

$4$ और $1$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 5^{5} {(x - 9)}^{\frac{1}{5}} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.12

$5$ को $5$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 5^{5} - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.5.13

$5$ को $5$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9 + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3125 - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.6

$- 9$ और $3125$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 6400 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.7

उत्पाद नियम को $\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$ पर लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 6400 \frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{4}}{4^{4}} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.8

$4$ को $4$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 6400 \frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{4}}{256} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.9

$256$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.9.1

$- 6400$ में से $256$ का गुणनखंड करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 + 256 (- 25) (\frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{4}}{256}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.9.2

उभयनिष्ठ गुणनखंड रद्द करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 + 256 \cdot (- 25 \frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{4}}{256}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.9.3

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {({(x - 9)}^{\frac{1}{5}} + 5)}^{4} + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.10

द्विपद प्रमेय का प्रयोग करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({({(x - 9)}^{\frac{1}{5}})}^{4} + 4 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5 + 6 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{2} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.11.1

घातांक को ${({(x - 9)}^{\frac{1}{5}})}^{4}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.11.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{1}{5} \cdot 4} + 4 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5 + 6 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{2} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.1.2

$\frac{1}{5}$ और $4$ को मिलाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 4 {({(x - 9)}^{\frac{1}{5}})}^{3} \cdot 5 + 6 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{2} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.2

घातांक को ${({(x - 9)}^{\frac{1}{5}})}^{3}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.11.2.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 4 {(x - 9)}^{\frac{1}{5} \cdot 3} \cdot 5 + 6 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{2} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.2.2

$\frac{1}{5}$ और $3$ को मिलाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 4 {(x - 9)}^{\frac{3}{5}} \cdot 5 + 6 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{2} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.3

$5$ को $4$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 20 {(x - 9)}^{\frac{3}{5}} + 6 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5^{2} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.4

घातांक को ${({(x - 9)}^{\frac{1}{5}})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.11.4.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 20 {(x - 9)}^{\frac{3}{5}} + 6 {(x - 9)}^{\frac{1}{5} \cdot 2} \cdot 5^{2} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.4.2

$\frac{1}{5}$ और $2$ को मिलाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 20 {(x - 9)}^{\frac{3}{5}} + 6 {(x - 9)}^{\frac{2}{5}} \cdot 5^{2} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.5

$5$ को $2$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 20 {(x - 9)}^{\frac{3}{5}} + 6 {(x - 9)}^{\frac{2}{5}} \cdot 25 + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.6

$25$ को $6$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 20 {(x - 9)}^{\frac{3}{5}} + 150 {(x - 9)}^{\frac{2}{5}} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 5^{3} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.7

$5$ को $3$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 20 {(x - 9)}^{\frac{3}{5}} + 150 {(x - 9)}^{\frac{2}{5}} + 4 {(x - 9)}^{\frac{1}{5}} \cdot 125 + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.8

$125$ को $4$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 20 {(x - 9)}^{\frac{3}{5}} + 150 {(x - 9)}^{\frac{2}{5}} + 500 {(x - 9)}^{\frac{1}{5}} + 5^{4}) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.11.9

$5$ को $4$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 ({(x - 9)}^{\frac{4}{5}} + 20 {(x - 9)}^{\frac{3}{5}} + 150 {(x - 9)}^{\frac{2}{5}} + 500 {(x - 9)}^{\frac{1}{5}} + 625) + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.12

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 25 (20 {(x - 9)}^{\frac{3}{5}}) - 25 (150 {(x - 9)}^{\frac{2}{5}}) - 25 (500 {(x - 9)}^{\frac{1}{5}}) - 25 \cdot 625 + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.13

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.13.1

$20$ को $- 25$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 25 (150 {(x - 9)}^{\frac{2}{5}}) - 25 (500 {(x - 9)}^{\frac{1}{5}}) - 25 \cdot 625 + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.13.2

$150$ को $- 25$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 25 (500 {(x - 9)}^{\frac{1}{5}}) - 25 \cdot 625 + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.13.3

$500$ को $- 25$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 25 \cdot 625 + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.13.4

$- 25$ को $625$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 16000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.14

उत्पाद नियम को $\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$ पर लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 16000 (\frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{3}}{4^{3}}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.15

$4$ को $3$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 16000 (\frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{3}}{64}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.16

$64$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.16.1

$16000$ में से $64$ का गुणनखंड करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 64 (250) (\frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{3}}{64}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.16.2

उभयनिष्ठ गुणनखंड रद्द करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 64 \cdot (250 (\frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{3}}{64})) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.16.3

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {({(x - 9)}^{\frac{1}{5}} + 5)}^{3} - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.17

द्विपद प्रमेय का प्रयोग करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 ({({(x - 9)}^{\frac{1}{5}})}^{3} + 3 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5 + 3 {(x - 9)}^{\frac{1}{5}} \cdot 5^{2} + 5^{3}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.18

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.18.1

घातांक को ${({(x - 9)}^{\frac{1}{5}})}^{3}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.18.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 ({(x - 9)}^{\frac{1}{5} \cdot 3} + 3 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5 + 3 {(x - 9)}^{\frac{1}{5}} \cdot 5^{2} + 5^{3}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.18.1.2

$\frac{1}{5}$ और $3$ को मिलाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 ({(x - 9)}^{\frac{3}{5}} + 3 {({(x - 9)}^{\frac{1}{5}})}^{2} \cdot 5 + 3 {(x - 9)}^{\frac{1}{5}} \cdot 5^{2} + 5^{3}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.18.2

घातांक को ${({(x - 9)}^{\frac{1}{5}})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.18.2.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 ({(x - 9)}^{\frac{3}{5}} + 3 {(x - 9)}^{\frac{1}{5} \cdot 2} \cdot 5 + 3 {(x - 9)}^{\frac{1}{5}} \cdot 5^{2} + 5^{3}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.18.2.2

$\frac{1}{5}$ और $2$ को मिलाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 ({(x - 9)}^{\frac{3}{5}} + 3 {(x - 9)}^{\frac{2}{5}} \cdot 5 + 3 {(x - 9)}^{\frac{1}{5}} \cdot 5^{2} + 5^{3}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.18.3

$5$ को $3$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 ({(x - 9)}^{\frac{3}{5}} + 15 {(x - 9)}^{\frac{2}{5}} + 3 {(x - 9)}^{\frac{1}{5}} \cdot 5^{2} + 5^{3}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.18.4

$5$ को $2$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 ({(x - 9)}^{\frac{3}{5}} + 15 {(x - 9)}^{\frac{2}{5}} + 3 {(x - 9)}^{\frac{1}{5}} \cdot 25 + 5^{3}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.18.5

$25$ को $3$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 ({(x - 9)}^{\frac{3}{5}} + 15 {(x - 9)}^{\frac{2}{5}} + 75 {(x - 9)}^{\frac{1}{5}} + 5^{3}) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.18.6

$5$ को $3$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 ({(x - 9)}^{\frac{3}{5}} + 15 {(x - 9)}^{\frac{2}{5}} + 75 {(x - 9)}^{\frac{1}{5}} + 125) - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.19

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 250 (15 {(x - 9)}^{\frac{2}{5}}) + 250 (75 {(x - 9)}^{\frac{1}{5}}) + 250 \cdot 125 - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.20

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.20.1

$15$ को $250$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 250 (75 {(x - 9)}^{\frac{1}{5}}) + 250 \cdot 125 - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.20.2

$75$ को $250$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 250 \cdot 125 - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.20.3

$250$ को $125$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 20000 {(\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.21

उत्पाद नियम को $\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$ पर लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 20000 \frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{2}}{4^{2}} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.22

$4$ को $2$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 20000 \frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{2}}{16} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.23

$16$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.23.1

$- 20000$ में से $16$ का गुणनखंड करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 + 16 (- 1250) (\frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{2}}{16}) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.23.2

उभयनिष्ठ गुणनखंड रद्द करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 + 16 \cdot (- 1250 \frac{{({(x - 9)}^{\frac{1}{5}} + 5)}^{2}}{16}) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.23.3

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {({(x - 9)}^{\frac{1}{5}} + 5)}^{2} + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.24

${({(x - 9)}^{\frac{1}{5}} + 5)}^{2}$ को $({(x - 9)}^{\frac{1}{5}} + 5) ({(x - 9)}^{\frac{1}{5}} + 5)$ के रूप में फिर से लिखें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 (({(x - 9)}^{\frac{1}{5}} + 5) ({(x - 9)}^{\frac{1}{5}} + 5)) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.25

FOIL विधि का उपयोग करके $({(x - 9)}^{\frac{1}{5}} + 5) ({(x - 9)}^{\frac{1}{5}} + 5)$ का प्रसार करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.25.1

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 ({(x - 9)}^{\frac{1}{5}} ({(x - 9)}^{\frac{1}{5}} + 5) + 5 ({(x - 9)}^{\frac{1}{5}} + 5)) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.25.2

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 ({(x - 9)}^{\frac{1}{5}} {(x - 9)}^{\frac{1}{5}} + {(x - 9)}^{\frac{1}{5}} \cdot 5 + 5 ({(x - 9)}^{\frac{1}{5}} + 5)) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.25.3

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 ({(x - 9)}^{\frac{1}{5}} {(x - 9)}^{\frac{1}{5}} + {(x - 9)}^{\frac{1}{5}} \cdot 5 + 5 {(x - 9)}^{\frac{1}{5}} + 5 \cdot 5) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.26

समान पदों को सरल और संयोजित करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.26.1

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.26.1.1

घातांक जोड़कर ${(x - 9)}^{\frac{1}{5}}$ को ${(x - 9)}^{\frac{1}{5}}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.26.1.1.1

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 ({(x - 9)}^{\frac{1}{5} + \frac{1}{5}} + {(x - 9)}^{\frac{1}{5}} \cdot 5 + 5 {(x - 9)}^{\frac{1}{5}} + 5 \cdot 5) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.26.1.1.2

सामान्य भाजक पर न्यूमेरेटरों को जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 ({(x - 9)}^{\frac{1 + 1}{5}} + {(x - 9)}^{\frac{1}{5}} \cdot 5 + 5 {(x - 9)}^{\frac{1}{5}} + 5 \cdot 5) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.26.1.1.3

$1$ और $1$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 ({(x - 9)}^{\frac{2}{5}} + {(x - 9)}^{\frac{1}{5}} \cdot 5 + 5 {(x - 9)}^{\frac{1}{5}} + 5 \cdot 5) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.26.1.2

$5$ को ${(x - 9)}^{\frac{1}{5}}$ के बाईं ओर ले जाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 ({(x - 9)}^{\frac{2}{5}} + 5 \cdot {(x - 9)}^{\frac{1}{5}} + 5 {(x - 9)}^{\frac{1}{5}} + 5 \cdot 5) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.26.1.3

$5$ को $5$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 ({(x - 9)}^{\frac{2}{5}} + 5 {(x - 9)}^{\frac{1}{5}} + 5 {(x - 9)}^{\frac{1}{5}} + 25) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.26.2

$5 {(x - 9)}^{\frac{1}{5}}$ और $5 {(x - 9)}^{\frac{1}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 ({(x - 9)}^{\frac{2}{5}} + 10 {(x - 9)}^{\frac{1}{5}} + 25) + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.27

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 1250 (10 {(x - 9)}^{\frac{1}{5}}) - 1250 \cdot 25 + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.28

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.28.1

$10$ को $- 1250$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 1250 \cdot 25 + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.28.2

$- 1250$ को $25$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 12500 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.29

$4$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.29.1

$12500$ में से $4$ का गुणनखंड करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 4 (3125) (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) - 3116$

चरण 5.2.3.29.2

उभयनिष्ठ गुणनखंड रद्द करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 4 \cdot (3125 (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4})) - 3116$

चरण 5.2.3.29.3

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 ({(x - 9)}^{\frac{1}{5}} + 5) - 3116$

चरण 5.2.3.30

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 {(x - 9)}^{\frac{1}{5}} + 3125 \cdot 5 - 3116$

चरण 5.2.3.31

$3125$ को $5$ से गुणा करें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$

चरण 5.2.4

पदों को जोड़कर सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.4.1

$x + 25 {(x - 9)}^{\frac{4}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 25 {(x - 9)}^{\frac{4}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$ में विपरीत पदों को मिलाएं.

और स्टेप्स के लिए टैप करें…

चरण 5.2.4.1.1

$25 {(x - 9)}^{\frac{4}{5}}$ में से $25 {(x - 9)}^{\frac{4}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 + 0 - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$

चरण 5.2.4.1.2

$x + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 3750 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 3750 {(x - 9)}^{\frac{2}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$

चरण 5.2.4.1.3

$- 3750 {(x - 9)}^{\frac{2}{5}}$ और $3750 {(x - 9)}^{\frac{2}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} + 0 - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$

चरण 5.2.4.1.4

$x + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}}$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 1250 {(x - 9)}^{\frac{2}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 1250 {(x - 9)}^{\frac{2}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$

चरण 5.2.4.1.5

$1250 {(x - 9)}^{\frac{2}{5}}$ में से $1250 {(x - 9)}^{\frac{2}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 + 0 - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$

चरण 5.2.4.1.6

$x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 31250 - 12500 {(x - 9)}^{\frac{1}{5}} - 31250 + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$

चरण 5.2.4.1.7

$31250$ में से $31250$ घटाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} + 0 - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$

चरण 5.2.4.1.8

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} - 15625 + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 15625 - 3116$

चरण 5.2.4.1.9

$- 15625$ और $15625$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 0 - 3116$

चरण 5.2.4.1.10

$x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 3116 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} - 3116$

चरण 5.2.4.1.11

$3116$ में से $3116$ घटाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} + 0 - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$

चरण 5.2.4.1.12

$x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 250 {(x - 9)}^{\frac{3}{5}} + 3125 {(x - 9)}^{\frac{1}{5}} - 500 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$

चरण 5.2.4.2

$250 {(x - 9)}^{\frac{3}{5}}$ में से $500 {(x - 9)}^{\frac{3}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 3125 {(x - 9)}^{\frac{1}{5}} - 250 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$

चरण 5.2.4.3

$x + 3125 {(x - 9)}^{\frac{1}{5}} - 250 {(x - 9)}^{\frac{3}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 250 {(x - 9)}^{\frac{3}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$ में विपरीत पदों को मिलाएं.

और स्टेप्स के लिए टैप करें…

चरण 5.2.4.3.1

$- 250 {(x - 9)}^{\frac{3}{5}}$ और $250 {(x - 9)}^{\frac{3}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 3125 {(x - 9)}^{\frac{1}{5}} + 0 - 12500 {(x - 9)}^{\frac{1}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$

चरण 5.2.4.3.2

$x + 3125 {(x - 9)}^{\frac{1}{5}}$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 3125 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$

चरण 5.2.4.4

$3125 {(x - 9)}^{\frac{1}{5}}$ में से $12500 {(x - 9)}^{\frac{1}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 9375 {(x - 9)}^{\frac{1}{5}} + 18750 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$

चरण 5.2.4.5

$- 9375 {(x - 9)}^{\frac{1}{5}}$ और $18750 {(x - 9)}^{\frac{1}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 9375 {(x - 9)}^{\frac{1}{5}} - 12500 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$

चरण 5.2.4.6

$9375 {(x - 9)}^{\frac{1}{5}}$ में से $12500 {(x - 9)}^{\frac{1}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x - 3125 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$

चरण 5.2.4.7

$x - 3125 {(x - 9)}^{\frac{1}{5}} + 3125 {(x - 9)}^{\frac{1}{5}}$ में विपरीत पदों को मिलाएं.

और स्टेप्स के लिए टैप करें…

चरण 5.2.4.7.1

$- 3125 {(x - 9)}^{\frac{1}{5}}$ और $3125 {(x - 9)}^{\frac{1}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x + 0$

चरण 5.2.4.7.2

$x$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}) = x$

चरण 5.3

$f (f^{- 1} (x))$ का मान ज्ञात करें.

और स्टेप्स के लिए टैप करें…

चरण 5.3.1

समग्र परिणाम फलन सेट करें.

$f (f^{- 1} (x))$

चरण 5.3.2

$f$ में $f^{- 1}$ का मान प्रतिस्थापित करके $f (1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3116)$ का मान ज्ञात करें.

$f (1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3116) = \frac{{((1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3116) - 9)}^{\frac{1}{5}} + 5}{4}$

चरण 5.3.3

$- 3116$ में से $9$ घटाएं.

$f (1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3116) = \frac{{(1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3125)}^{\frac{1}{5}} + 5}{4}$

चरण 5.4

चूँकि $f^{- 1} (f (x)) = x$ और $f (f^{- 1} (x)) = x$ , तो $f^{- 1} (x) = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3116$ , $f (x) = \frac{{(x - 9)}^{\frac{1}{5}} + 5}{4}$ का व्युत्क्रम है.

$f^{- 1} (x) = 1024 x^{5} - 6400 x^{4} + 16000 x^{3} - 20000 x^{2} + 12500 x - 3116$