Finite Math Examples

$f (x) = \frac{11 - x}{- 19} \cdot (f i n d f^{- 1} (x))$

Step 1

Remove unnecessary parentheses.

$f (x) = \frac{11 - x}{- 19} \cdot (f i n d f^{- 1} x)$

Step 2

Combine exponents.

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Step 2.1

Combine $\frac{11 - x}{- 19}$ and $f$ .

$f (x) = \frac{(11 - x) f}{- 19} \cdot (i n d f^{- 1} x)$

Step 2.2

Combine $\frac{(11 - x) f}{- 19}$ and $i$ .

$f (x) = \frac{(11 - x) f i}{- 19} \cdot (n d f^{- 1} x)$

Step 2.3

Combine $\frac{(11 - x) f i}{- 19}$ and $n$ .

$f (x) = \frac{(11 - x) f i n}{- 19} \cdot (d f^{- 1} x)$

Step 2.4

Combine $\frac{(11 - x) f i n}{- 19}$ and $d$ .

$f (x) = \frac{(11 - x) f i n d}{- 19} \cdot (f^{- 1} x)$

Step 2.5

Combine $\frac{(11 - x) f i n d}{- 19}$ and $f^{- 1}$ .

$f (x) = \frac{(11 - x) f i n d f^{- 1}}{- 19} \cdot x$

Step 2.6

Multiply $f$ by $f^{- 1}$ by adding the exponents.

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Step 2.6.1

Move $f^{- 1}$ .

$f (x) = \frac{(11 - x) (f^{- 1} f) i n d}{- 19} \cdot x$

Step 2.6.2

Multiply $f^{- 1}$ by $f$ .

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Step 2.6.2.1

Raise $f$ to the power of $1$ .

$f (x) = \frac{(11 - x) (f^{- 1} f) i n d}{- 19} \cdot x$

Step 2.6.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (x) = \frac{(11 - x) f^{- 1 + 1} i n d}{- 19} \cdot x$

Step 2.6.3

Add $- 1$ and $1$ .

$f (x) = \frac{(11 - x) f^{0} i n d}{- 19} \cdot x$

Step 2.7

Simplify $(11 - x) f^{0} i n d$ .

$f (x) = \frac{(11 - x) i n d}{- 19} \cdot x$

Step 2.8

Combine $\frac{(11 - x) i n d}{- 19}$ and $x$ .

$f (x) = \frac{(11 - x) i n d x}{- 19}$