Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50501	Solve the Function Operation	f(x)=9(x+9)^(1/3) ; find f^-1(x)	$f (x) = 9 {(x + 9)}^{\frac{1}{3}}$ ; find $f^{- 1} (x)$
50502	Find the Domain	F(x) = log of 3x-2	$F (x) = \log (3 x - 2)$
50503	Find the Asymptotes	y=8*(1/4)^x-1	$y = 8 \cdot {(\frac{1}{4})}^{x} - 1$
50504	Find the Average Rate of Change	f(x)=cos(x/2)	$f (x) = \cos (\frac{x}{2})$
50505	Find the Slope	(5/6,-2) and (-1/3,-1/3)	$(\frac{5}{6}, - 2)$ and $(- \frac{1}{3}, - \frac{1}{3})$
50506	Find the Asymptotes	F(x)=(3x^2-3x)/(x^2+x-12)	$F (x) = \frac{3 x^{2} - 3 x}{x^{2} + x - 12}$
50507	Find the GCF	36 and 48	$36$ and $48$
50508	Find the Slope	(5,-10) and (-3,-10)	$(5, - 10)$ and $(- 3, - 10)$
50509	Find the Domain	F(s)=sin(s/(s+6))	$F (s) = \sin (\frac{s}{s + 6})$
50510	Solve the Function Operation	If f(x)=4x^5-x-3 ; then what is the remainder when f(x) is divided by x-3 ?	If $f (x) = 4 x^{5} - x - 3$ ; then what is the remainder when $f (x)$ is divided by $x - 3$ ?
50511	Find the Asymptotes	(2(x-1))/(x-8)	$\frac{2 (x - 1)}{x - 8}$
50512	Find the Domain	1/(b^2-ab)-1/(ab-a^2)	$\frac{1}{b^{2} - a b} - \frac{1}{a b - a^{2}}$
50513	Find the Vertex	y+2=-x^2+3x	$y + 2 = - x^{2} + 3 x$
50514	Find the Asymptotes	y=(4x^2-16)/(x-2)	$y = \frac{4 x^{2} - 16}{x - 2}$
50515	Find the Sum of the Infinite Geometric Series	120+40+40/3+40/9	$120 + 40 + \frac{40}{3} + \frac{40}{9}$
50516	Solve the Function Operation	If P(x)=x^2+x+3 ; find P(7)	If $P (x) = x^{2} + x + 3$ ; find $P (7)$
50517	Solve the Function Operation	(9x^2+6x-7)+(-9x-5)	$(9 x^{2} + 6 x - 7) + (- 9 x - 5)$
50518	Find the Slope	(1,3) and (5,1)	$(1, 3)$ and $(5, 1)$
50519	Find the Factors Using the Factor Theorem	x^3-x^2-20x , x+4	$x^{3} - x^{2} - 20 x$ , $x + 4$
50520	Find the Asymptotes	f(x)=((x-1)(x+1))/(6(x-4)(x+7))	$f (x) = \frac{(x - 1) (x + 1)}{6 (x - 4) (x + 7)}$
50521	Find the Vertex	((x-2)^2)/9-((y-1)^2)/4=1	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4} = 1$
50522	Find the Domain	square root of 8^t-64	$\sqrt{8^{t} - 64}$
50523	Find the Vertex	x^2-y=2x+1	$x^{2} - y = 2 x + 1$
50524	Find the Domain	((6ax)/(m^2-2m))÷((8ax)/(3m-6))	$\frac{6 a x}{m^{2} - 2 m} \div \frac{8 a x}{3 m - 6}$
50525	Find the GCF	GCF of 12 and 18	GCF of $12$ and $18$
50526	Find the Average Rate of Change	h(t)=sin(5t) , [0,pi/10]	$h (t) = \sin (5 t)$ , $[0, \frac{π}{10}]$
50527	Solve the Function Operation	g(x)=x-11 find g(25)	$g (x) = x - 11$ find $g (25)$
50528	Solve the Function Operation	15-5(365x)=1 , 840	$15 - 5 (365 x) = 1$ , $840$
50529	Find the Asymptotes	g(x)=((2x+3)(x-6))/((x+2)(x-1))	$g (x) = \frac{(2 x + 3) (x - 6)}{(x + 2) (x - 1)}$
50530	Find the Domain	x- square root of 169-x^2=17	$x - \sqrt{169 - x^{2}} = 17$
50531	Find the Average Rate of Change	table[[x,y],[0,3],[1,1.5],[2,0.75],[3,0.375]]	$\begin{array}{c} x & y \\ 0 & 3 \\ 1 & 1.5 \\ 2 & 0.75 \\ 3 & 0.375 \end{array}$
50532	Find the Domain	(a+1)/(a(a-1))	$\frac{a + 1}{a (a - 1)}$
50533	Evaluate the Function	2x+y=0 , x>=0	$2 x + y = 0$ , $x \geq 0$
50534	Find the Domain	(bx+3b)/(x^2-25)*((x-5)^2)/(ax+3a)	$\frac{b x + 3 b}{x^{2} - 25} \cdot \frac{{(x - 5)}^{2}}{a x + 3 a}$
50535	Find the Asymptotes	(3(x+7)(x-7))/(2x(x+7))	$\frac{3 (x + 7) (x - 7)}{2 x (x + 7)}$
50536	Solve the Function Operation	If f(x)=x^2+5x and g(x)=7-x ; find: (f+g)(2)	If $f (x) = x^{2} + 5 x$ and $g (x) = 7 - x$ ; find: $(f + g) (2)$
50537	Find the Domain	square root of cube root of 4-x	$\sqrt{\sqrt[3]{4 - x}}$
50538	Find the Slope	(-3,7) and (3,3)	$(- 3, 7)$ and $(3, 3)$
50539	Find the Domain	(2x^2)/(3x^2-4x)	$\frac{2 x^{2}}{3 x^{2} - 4 x}$
50540	Find the Slope	(5/8,-2) and (-1/4,-1/4)	$(\frac{5}{8}, - 2)$ and $(- \frac{1}{4}, - \frac{1}{4})$
50541	Find the Domain	-c/a	$- \frac{c}{a}$
50542	Solve the Function Operation	g(x)=4x+5 f(x)=-3x^2-3x Find g(x)+f(x)	$g (x) = 4 x + 5$ $f (x) = - 3 x^{2} - 3 x$ Find $g (x) + f (x)$
50543	Find the Slope	(2,30 degrees ) , (5,120 degrees )	$(2, 30 °)$ , $(5, 120 °)$
50544	Find the GCF	8y^3 and 28y	$8 y^{3}$ and $28 y$
50545	Find the Domain	3/(a+b)	$\frac{3}{a + b}$
50546	Solve the Function Operation	Given that f(x)=x^2+3x-10 and g(x)=x-2 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 10$ and $g (x) = x - 2$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
50547	Find the Asymptotes	y=(3x-6)/(x^2-7x+10)	$y = \frac{3 x - 6}{x^{2} - 7 x + 10}$
50548	Find the GCF	24 and 30	$24$ and $30$
50549	Find the Domain	x natural log of x	$x \ln (x)$
50550	Find the Asymptotes	((x+7)(x-3)(x+1))/((x-3)(x-5))	$\frac{(x + 7) (x - 3) (x + 1)}{(x - 3) (x - 5)}$
50551	Solve the Function Operation	f(x)=(x^5-6)/9 ; find f^-1(x)	$f (x) = \frac{x^{5} - 6}{9}$ ; find $f^{- 1} (x)$
50552	Find the Asymptotes	h(x)=(2x^3-4x^2)/(3x^5-8x+2)	$h (x) = \frac{2 x^{3} - 4 x^{2}}{3 x^{5} - 8 x + 2}$
50553	Find the Domain	g(x)=(2x+\|x\|)/x	$g (x) = \frac{2 x + \| x \|}{x}$
50554	Find the GCF	30 and 45	$30$ and $45$
50555	Find the Sum of the Infinite Geometric Series	4-2+1-0.5+...	$4 - 2 + 1 - 0.5 + \dots$
50556	Solve the Function Operation	f(x)=6x+2 g(x)=-5x-9 Find the product of f and g	$f (x) = 6 x + 2$ $g (x) = - 5 x - 9$ Find the product of $f$ and $g$
50557	Find the Domain	(x-7)/(-5x+40)*(x^2-64)/(-4x+28)	$\frac{x - 7}{- 5 x + 40} \cdot \frac{x^{2} - 64}{- 4 x + 28}$
50558	Find the Slope	What is the slope of the line through (1,0) and (3,8) ?	What is the slope of the line through $(1, 0)$ and $(3, 8)$ ?
50559	Find the Average Rate of Change	y-x=8	$y - x = 8$
50560	Find the GCF	15m^2n^2 , 25m^3n	$15 m^{2} n^{2}$ , $25 m^{3} n$
50561	Find the Asymptotes	f(x)=(4x^2-12x)/(x^2-9)	$f (x) = \frac{4 x^{2} - 12 x}{x^{2} - 9}$
50562	Find the Domain	(x-1)/(4x)	$\frac{x - 1}{4 x}$
50563	Solve the Function Operation	f(x)=(( cube root of x)/10)^5 ; find f^-1(x)	$f (x) = {(\frac{\sqrt[3]{x}}{10})}^{5}$ ; find $f^{- 1} (x)$
50564	Find the Asymptotes	f(x)=(x^2-5x)/(x-5)	$f (x) = \frac{x^{2} - 5 x}{x - 5}$
50565	Find the Asymptotes	h(x)=(2x^2-5)/(3x^3+2x)	$h (x) = \frac{2 x^{2} - 5}{3 x^{3} + 2 x}$
50566	Evaluate the Function	f(x)=3x^3-7x^2-5x+7 , f(9)	$f (x) = 3 x^{3} - 7 x^{2} - 5 x + 7$ , $f (9)$
50567	Find the Asymptotes	r(x)=x/(x^2+4)	$r (x) = \frac{x}{x^{2} + 4}$
50568	Find the Domain	(4x-1)^(9/2)	${(4 x - 1)}^{\frac{9}{2}}$
50569	Find the Asymptotes	f(x)=((x+4)(x-9)(x-8))/(-6x^3+7x^2+3x+9)	$f (x) = \frac{(x + 4) (x - 9) (x - 8)}{- 6 x^{3} + 7 x^{2} + 3 x + 9}$
50570	Find the Asymptotes	F(x)=-1/(x^2+2x+1)	$F (x) = \frac{- 1}{x^{2} + 2 x + 1}$
50571	Solve the Function Operation	(3x^2)/(x^2-25)-x/(x+5)+2/(x-5) , x!=-5 , 5	$\frac{3 x^{2}}{x^{2} - 25} - \frac{x}{x + 5} + \frac{2}{x - 5}$ , $x \neq - 5$ , $5$
50572	Find the Slope	(5,-9) and (3,-2)	$(5, - 9)$ and $(3, - 2)$
50573	Find the Domain	1/(5x)+(x+3)/(x-7)=0	$\frac{1}{5 x} + \frac{x + 3}{x - 7} = 0$
50574	Find the Vertex	y=5-\|x-1\|	$y = 5 - \| x - 1 \|$
50575	Find the Domain	1/(1/( square root of x))	$\frac{1}{\frac{1}{\sqrt{x}}}$
50576	Find the GCF	14ab and 28ab	$14 a b$ and $28 a b$
50577	Solve the Function Operation	f(x)=16x+12 g(x)=4x+3 Find: (f/g)(x)	$f (x) = 16 x + 12$ $g (x) = 4 x + 3$ Find: $(\frac{f}{g}) (x)$
50578	Find the Slope	(5,7) and (6,3)	$(5, 7)$ and $(6, 3)$
50579	Find the Domain	square root of x^2-1	$\sqrt{x^{2}} - 1$
50580	Find the Slope	(4,-1) and (3,-1)	$(4, - 1)$ and $(3, - 1)$
50581	Find the Domain	H(x) = log base 5 of x^3	$H (x) = \log_{5} (x^{3})$
50582	Find the Domain	f(x)=(5+3x)/( square root of 2-x)	$f (x) = \frac{5 + 3 x}{\sqrt{2 - x}}$
50583	Find the Asymptotes	(3x^6-7x+9)/(7x^2+7x+9)	$\frac{3 x^{6} - 7 x + 9}{7 x^{2} + 7 x + 9}$
50584	Solve the Function Operation	h(t)=2t+1 g(t)=2t+2 Find (h-g)(t)	$h (t) = 2 t + 1$ $g (t) = 2 t + 2$ Find $(h - g) (t)$
50585	Solve the Function Operation	f(x)=( fifth root of x-2)/9 ; find f^-1(x)	$f (x) = \frac{\sqrt[5]{x - 2}}{9}$ ; find $f^{- 1} (x)$
50586	Determine if an Ellipse	(x^2)/4+(y^2)/9=1	$\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$
50587	Evaluate the Function	1/(1,0,0)	$\frac{1}{1, 0, 0}$
50588	Solve the Function Operation	If A=([1,0],[2,-3]) ; we have 2x+3A=0 ; then find x matrix	If $A = ([1, 0], [2, - 3])$ ; we have $2 x + 3 A = 0$ ; then find $x$ matrix
50589	Find the Sum of the Infinite Geometric Series	1/3+1/9+1/27	$\frac{1}{3} + \frac{1}{9} + \frac{1}{27}$
50590	Find the Asymptotes	y=(6-3x)/(x^2-5x+6)	$y = \frac{6 - 3 x}{x^{2} - 5 x + 6}$
50591	Find the Asymptotes	y=(4x-16)/(x^2-16)	$y = \frac{4 x - 16}{x^{2} - 16}$
50592	Find the Difference Quotient	1/(x+1)	$\frac{1}{x + 1}$
50593	Solve the Function Operation	f(8) if f(x)=x+11	$f (8)$ if $f (x) = x + 11$
50594	Find the Asymptotes	f(x)=((3x+4)(x+2))/((x-4)(x+2))	$f (x) = \frac{(3 x + 4) (x + 2)}{(x - 4) (x + 2)}$
50595	Find the Asymptotes	(2(x+5)(x-8))/(x(x+5))	$\frac{2 (x + 5) (x - 8)}{x (x + 5)}$
50596	Find the Domain	log base (5-x) of x-3	$\log_{(5 - x)} (x - 3)$
50597	Find the GCF	26 and 44	$26$ and $44$
50598	Find the Domain	y=((x-7)(x+10))/((x+10)(x-3)(x-7))	$y = \frac{(x - 7) (x + 10)}{(x + 10) (x - 3) (x - 7)}$
50599	Determine if Odd, Even, or Neither	f(x)=1/3x^2	$f (x) = \frac{1}{3} x^{2}$
50600	Solve the Function Operation	Let f(x)=8x^3-28x+61 and g(x)=2x+5 Find (f(x))/(g(x))	Let $f (x) = 8 x^{3} - 28 x + 61$ and $g (x) = 2 x + 5$ Find $\frac{f (x)}{g (x)}$