Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49101	Solve the Function Operation	16-2t=2 3t+9	$16 - 2 t = 2$ $3 t + 9$
49102	Determine if Odd, Even, or Neither	f(x) = log base 3 of x^8	$f (x) = \log_{3} (x^{8})$
49103	Find the Slope	Find the slope of the line passing through the points (-9,-6) and (-4,5)	Find the slope of the line passing through the points $(- 9, - 6)$ and $(- 4, 5)$
49104	Find the Slope	(10,8) and (1,9)	$(10, 8)$ and $(1, 9)$
49105	Find the Domain	y = square root of 4x-x^2	$y = \sqrt{4 x - x^{2}}$
49106	Find the Domain	(x^2-1)*(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) \cdot (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
49107	Solve the Function Operation	Given g(x)=-x-3 ; find g(1)	Given $g (x) = - x - 3$ ; find $g (1)$
49108	Solve the Function Operation	Given g(x)=-x+4 ; find g(-4)	Given $g (x) = - x + 4$ ; find $g (- 4)$
49109	Solve the Function Operation	f(x)=9(x-2) ; find f^-1(x)	$f (x) = 9 (x - 2)$ ; find $f^{- 1} (x)$
49110	Solve the Function Operation	f(x)=8x^7 ; find f^-1(x)	$f (x) = 8 x^{7}$ ; find $f^{- 1} (x)$
49111	Find the Constant of Variation	y=28 when x=7	$y = 28$ when $x = 7$
49112	Find the Vertex	3x-y^2=4x+25	$3 x - y^{2} = 4 x + 25$
49113	Solve the Function Operation	f(x)=x^3+6 ; find f^-1(x)	$f (x) = x^{3} + 6$ ; find $f^{- 1} (x)$
49114	Find the Factors Using the Factor Theorem	x^4+2x^3-8x-16 , x+2	$x^{4} + 2 x^{3} - 8 x - 16$ , $x + 2$
49115	Find the Domain	g(x)=(3x+\|x\|)/x	$g (x) = \frac{3 x + \| x \|}{x}$
49116	Find the GCF	Find the GCF of 30w and 70w	Find the GCF of $30 w$ and $70 w$
49117	Find the Asymptotes	y/3=2^(x+1)-2	$\frac{y}{3} = 2^{x + 1} - 2$
49118	Solve the Function Operation	f(x)=x-8 g(x)=x^2+x-15 Find: (gof)(x)	$f (x) = x - 8$ $g (x) = x^{2} + x - 15$ Find: $((g \circ f)) (x)$
49119	Find the Domain	(6x^2+5xy-6y^2)/(3x^2-5xy+2y^2)	$\frac{6 x^{2} + 5 x y - 6 y^{2}}{3 x^{2} - 5 x y + 2 y^{2}}$
49120	Find the Asymptotes	(x^2-5x)/(2x^2)	$\frac{x^{2} - 5 x}{2 x^{2}}$
49121	Find the GCF	r^6s^4 , -rs	$r^{6} s^{4}$ , $- r s$
49122	Find the Domain	(y-1)/(y square root of y+1)	$\frac{(y - 1)}{y \sqrt{y + 1}}$
49123	Find the Asymptotes	(2x^3+4x^2-9)/(-x^2+3)	$\frac{2 x^{3} + 4 x^{2} - 9}{- x^{2} + 3}$
49124	Solve the Function Operation	f(x)=3x^2+6x+10 g(x)=2x-13 Find: g(f(x))	$f (x) = 3 x^{2} + 6 x + 10$ $g (x) = 2 x - 13$ Find: $g (f (x))$
49125	Find the Slope	(-6,1) and (4,-4)	$(- 6, 1)$ and $(4, - 4)$
49126	Find the Difference Quotient	1/(x^2)	$\frac{1}{x^{2}}$
49127	Find the Domain	f(t)=(t(t-3))/(t-2)+(4-t)/(t-2)	$f (t) = \frac{t (t - 3)}{t - 2} + \frac{4 - t}{t - 2}$
49128	Determine if Odd, Even, or Neither	f(x)=x^5-(1/x)+\|(x+1)/(x-1)\|	$f (x) = x^{5} - (\frac{1}{x}) + \| \frac{x + 1}{x - 1} \|$
49129	Find the Average Rate of Change	f(x)=4/(3x-1) , x=1 , x=3	$f (x) = \frac{4}{3 x - 1}$ , $x = 1$ , $x = 3$
49130	Determine if Odd, Even, or Neither	F(x)=7x^4-x^6	$F (x) = 7 x^{4} - x^{6}$
49131	Find the Slope	(-6,2) and (-5,-2)	$(- 6, 2)$ and $(- 5, - 2)$
49132	Solve the Function Operation	If f(x)=x-4 and g(x)=3x^2-x ; what is (gof)(x) ?	If $f (x) = x - 4$ and $g (x) = 3 x^{2} - x$ ; what is $((g \circ f)) (x)$ ?
49133	Find the Asymptotes	f(x)=-2*2^(1/3x)+3	$f (x) = - 2 \cdot 2^{\frac{1}{3} x} + 3$
49134	Solve the Function Operation	f(x)=-2x-5 g(x)=3x^2+2x+14 Find: f(g(x))	$f (x) = - 2 x - 5$ $g (x) = 3 x^{2} + 2 x + 14$ Find: $f (g (x))$
49135	Solve the Function Operation	-2j+7=-12	$- 2 j + 7 = - 12$
49136	Solve the Function Operation	f(x)=-2x if x<=-1; 1 if -1=3 Find f(-2)	$f (x) = {\begin{cases} - 2 x & x \leq - 1 \\ 1 & - 1 = 3 \end{cases}$ Find $f (- 2)$
49137	Solve the Function Operation	Given g(x)=-x+3 ; find g(1)	Given $g (x) = - x + 3$ ; find $g (1)$
49138	Solve the Function Operation	x=-2 , 0 , 1	$x = - 2$ , $0$ , $1$
49139	Solve the Function Operation	f(x)=x^7-7 ; find f^-1(x)	$f (x) = x^{7} - 7$ ; find $f^{- 1} (x)$
49140	Solve the Function Operation	f(x)=4x+5 g(x)=x^2+4x+2 Find: f(g(x))	$f (x) = 4 x + 5$ $g (x) = x^{2} + 4 x + 2$ Find: $f (g (x))$
49141	Solve the Function Operation	x+y+z=280 25 , 0x+30 , 0y+40 , 0z=8 , 0 , 0x-2y=0	$x + y + z = 280$ $25$ , $0 x + 30$ , $0 y + 40$ , $0 z = 8$ , $0$ , $0 x - 2 y = 0$
49142	Find the Domain	f(x)=(e^x)/(x-2)	$f (x) = \frac{e^{x}}{x - 2}$
49143	Solve the Function Operation	Given that f(x)=x^2+16x+63 and g(x)=x+9 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 16 x + 63$ and $g (x) = x + 9$ ; find $f (x) + g (x)$ and express the result in standard form.
49144	Solve the Function Operation	f(x)=3(x-9) ; find f^-1(x)	$f (x) = 3 (x - 9)$ ; find $f^{- 1} (x)$
49145	Find the Domain	(x^3+9x^2-10x)/(x^3-9x^2-10x)	$\frac{x^{3} + 9 x^{2} - 10 x}{x^{3} - 9 x^{2} - 10 x}$
49146	Solve the Function Operation	f(x)=x^2+5x+12 g(x)=-x+5 Find: f(g(x))	$f (x) = x^{2} + 5 x + 12$ $g (x) = - x + 5$ Find: $f (g (x))$
49147	Solve the Function Operation	f(x)=(x+6)^3 ; find f^-1(x)	$f (x) = {(x + 6)}^{3}$ ; find $f^{- 1} (x)$
49148	Determine if Odd, Even, or Neither	-2/5x^3	$- \frac{2}{5} x^{3}$
49149	Find the Domain	y = square root of 7x-x^2	$y = \sqrt{7 x - x^{2}}$
49150	Find the Asymptotes	(-5x^2+20)/(3x^2-6x)	$\frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$
49151	Solve the Function Operation	f(x)=3x^2+4x-3 g(x)=-2x-5 Find: g(f(x))	$f (x) = 3 x^{2} + 4 x - 3$ $g (x) = - 2 x - 5$ Find: $g (f (x))$
49152	Solve the Function Operation	f(x)=3x^2+6x-14 g(x)=-2x+12 Find: (gof)(x)	$f (x) = 3 x^{2} + 6 x - 14$ $g (x) = - 2 x + 12$ Find: $((g \circ f)) (x)$
49153	Solve the Function Operation	f(x)=x^2+6x+7 g(x)=x+2 Find: g(f(x))	$f (x) = x^{2} + 6 x + 7$ $g (x) = x + 2$ Find: $g (f (x))$
49154	Solve the Function Operation	f(x)=5x-15 g(x)=2x^2+6x+11 Find: (fog)(x)	$f (x) = 5 x - 15$ $g (x) = 2 x^{2} + 6 x + 11$ Find: $((f \circ g)) (x)$
49155	Solve the Function Operation	sin(theta)=24/25 , theta in quadrant II	$\sin (θ) = \frac{24}{25}$ , $θ$ in quadrant $I \cdot I$
49156	Find the GCF	8 and 24	$8$ and $24$
49157	Solve the Function Operation	f(x) = cube root of x+7 ; find f^-1(x)	$f (x) = \sqrt[3]{x + 7}$ ; find $f^{- 1} (x)$
49158	Solve the Function Operation	f(x)=-x-5 if x!=-2; -2 if x=-2 Find f(-4)	$f (x) = {\begin{cases} - x - 5 & x \neq - 2 \\ - 2 & x = - 2 \end{cases}$ Find $f (- 4)$
49159	Solve the Function Operation	f(x)=-5x+14 g(x)=x^2+6x-7 Find: f(g(x))	$f (x) = - 5 x + 14$ $g (x) = x^{2} + 6 x - 7$ Find: $f (g (x))$
49160	Solve the Function Operation	f(x)=x^2-3x+9 g(x)=5x-9 Find: (gof)(x)	$f (x) = x^{2} - 3 x + 9$ $g (x) = 5 x - 9$ Find: $((g \circ f)) (x)$
49161	Find the Domain	2sec(theta)^2=1/(1-sin(theta))+1/(1+sin(theta))	$2 \sec^{2} (θ) = \frac{1}{1 - \sin (θ)} + \frac{1}{1 + \sin (θ)}$
49162	Solve the Function Operation	f(x)=2x+3 g(x)=2x^2+6x+13 Find: (gof)(x)	$f (x) = 2 x + 3$ $g (x) = 2 x^{2} + 6 x + 13$ Find: $((g \circ f)) (x)$
49163	Find the Domain	(x^2-4)/(4x^2-8x)	$\frac{x^{2} - 4}{4 x^{2} - 8 x}$
49164	Find the Domain	A(r)=2pir^2+12pir	$A (r) = 2 π r^{2} + 12 π r$
49165	Find the Domain	((2a+b)/a-(a+2b)/b)((a-b)/(b^2+ab)+(a+b)/(b^2-ab))	$(\frac{2 a + b}{a} - \frac{a + 2 b}{b}) (\frac{a - b}{b^{2} + a b} + \frac{a + b}{b^{2} - a b})$
49166	Solve the Function Operation	f(x)=x^7+2 ; find f^-1(x)	$f (x) = x^{7} + 2$ ; find $f^{- 1} (x)$
49167	Find the GCF	15 and 20	$15$ and $20$
49168	Find the Sum of the Infinite Geometric Series	120+40+40/3+40/9+...	$120 + 40 + \frac{40}{3} + \frac{40}{9} + \dots$
49169	Solve the Function Operation	f(x)=x^2-x+14 g(x)=-5x-8 Find: g(f(x))	$f (x) = x^{2} - x + 14$ $g (x) = - 5 x - 8$ Find: $g (f (x))$
49170	Find the Slope	(-8,-8) and (-7,9)	$(- 8, - 8)$ and $(- 7, 9)$
49171	Find the Asymptotes	(x^2+4x)/(-x-4)	$\frac{x^{2} + 4 x}{- x - 4}$
49172	Evaluate the Function	x=-2 , 0 , 1	$x = - 2$ , $0$ , $1$
49173	Find the Asymptotes	(x^2-8x)/(3x^2-3x-90)	$\frac{x^{2} - 8 x}{3 x^{2} - 3 x - 90}$
49174	Find the Domain	(((x-y)^2)/(x+y))÷((3x+3y)/(x^2-y^2))	$\frac{{(x - y)}^{2}}{x + y} \div \frac{3 x + 3 y}{x^{2} - y^{2}}$
49175	Find the Asymptotes	(x^2-1)/(9x^2-30x)	$\frac{x^{2} - 1}{9 x^{2} - 30 x}$
49176	Solve the Function Operation	f(x)=x^2-x+12 g(x)=3x+8 Find: (fog)(x)	$f (x) = x^{2} - x + 12$ $g (x) = 3 x + 8$ Find: $((f \circ g)) (x)$
49177	Solve the Function Operation	Given g(x)=-4x-2 ; find g(-2)	Given $g (x) = - 4 x - 2$ ; find $g (- 2)$
49178	Solve the Function Operation	f(x)=(x+7)^2-2 if x<-4; -x+3 if -4<=x<=1; x+1 if x>1 Find f(-4)	$f (x) = {\begin{cases} {(x + 7)}^{2} - 2 & x < - 4 \\ - x + 3 & - 4 \leq x \leq 1 \\ x + 1 & x > 1 \end{cases}$ Find $f (- 4)$
49179	Solve the Function Operation	f(n)=n^2+4n g(n)=-n-5 Find f(n)+g(n)	$f (n) = n^{2} + 4 n$ $g (n) = - n - 5$ Find $f (n) + g (n)$
49180	Find the Asymptotes	(x^2-5x)/(-2x^2)	$\frac{x^{2} - 5 x}{- 2 x^{2}}$
49181	Find the Difference Quotient	x^3	$x^{3}$
49182	Find the Asymptotes	f(x)=(3x^2)/(x-x^2)	$f (x) = \frac{3 x^{2}}{x - x^{2}}$
49183	Solve the Function Operation	Given f(x)=-x+1 ; find f(0)	Given $f (x) = - x + 1$ ; find $f (0)$
49184	Find the Domain	g(x)=1/(1-tan(x))	$g (x) = \frac{1}{1 - \tan (x)}$
49185	Solve the Function Operation	f(x)=4x+8 g(x)=x+3 find f(x)*g(x)	$f (x) = 4 x + 8$ $g (x) = x + 3$ find $f (x) \cdot g (x)$
49186	Find the Slope	(-8,-5) and (-7,-4)	$(- 8, - 5)$ and $(- 7, - 4)$
49187	Solve the Function Operation	f(x)=-6x-28 if x<=-5; -1 if x>0 Find f(5)	$f (x) = {\begin{cases} - 6 x - 28 & x \leq - 5 \\ - 1 & x > 0 \end{cases}$ Find $f (5)$
49188	Solve the Function Operation	f(x)=4x-2 g(x)=x^2+5x+15 Find: (fog)(x)	$f (x) = 4 x - 2$ $g (x) = x^{2} + 5 x + 15$ Find: $((f \circ g)) (x)$
49189	Solve the Function Operation	Let f(x)=-5x+3 and g(x)=6x-2 Find f*g and its domain.	Let $f (x) = - 5 x + 3$ and $g (x) = 6 x - 2$ Find $f \cdot g$ and its domain.
49190	Solve the Function Operation	f(n)=x^2+1 g(n)=2x-5 find f(n)-g(n)	$f (n) = x^{2} + 1$ $g (n) = 2 x - 5$ find $f (n) - g (n)$
49191	Solve the Function Operation	f(x) = square root of x-10 ; find f^-1(x)	$f (x) = \sqrt{x - 10}$ ; find $f^{- 1} (x)$
49192	Solve the Function Operation	Sales of 10 , 0 increase by 65% each yr	Sales of $10$ , $0$ increase by $65 %$ each $year$
49193	Solve the Function Operation	f(x)=2x^2+5x+8 g(x)=-x-5 Find: (fog)(x)	$f (x) = 2 x^{2} + 5 x + 8$ $g (x) = - x - 5$ Find: $((f \circ g)) (x)$
49194	Solve the Function Operation	f(x)=6(x-2) ; find f^-1(x)	$f (x) = 6 (x - 2)$ ; find $f^{- 1} (x)$
49195	Find the Domain	h(x)=( square root of x-2)/(x(x-1))	$h (x) = \frac{\sqrt{x - 2}}{x (x - 1)}$
49196	Find the Nth Root of the Given Value	n=6 , a=64	$n = 6$ , $a = 64$
49197	Find the Domain	(2x+2y)/(x^2-2xy+y^2)*(x^2-xy)/(7y+7x)	$\frac{2 x + 2 y}{x^{2} - 2 x y + y^{2}} \cdot \frac{x^{2} - x y}{7 y + 7 x}$
49198	Solve the Function Operation	f(x)=-x+9 g(x)=3x^2+x-5 Find: (fog)(x)	$f (x) = - x + 9$ $g (x) = 3 x^{2} + x - 5$ Find: $((f \circ g)) (x)$
49199	Solve the Function Operation	f(x)=-3x+1 g(x)=3x^2+4x-15 Find: f(g(x))	$f (x) = - 3 x + 1$ $g (x) = 3 x^{2} + 4 x - 15$ Find: $f (g (x))$
49200	Find the GCF	Find the GCF of 130x and 13	Find the GCF of $130 x$ and $13$