Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47501	Find the Asymptotes	f(x)=(7x^4+3x^2+1)/(3x^4-5x-2)	$f (x) = \frac{7 x^{4} + 3 x^{2} + 1}{3 x^{4} - 5 x - 2}$
47502	Determine if Odd, Even, or Neither	f(x)=x/7	$f (x) = \frac{x}{7}$
47503	Find the Average Rate of Change	f(x)=x^2-x-1	$f (x) = x^{2} - x - 1$
47504	Determine if Odd, Even, or Neither	f(x)=2^(x+3)	$f (x) = 2^{x + 3}$
47505	Find the Slope	(2,1) and (8,9)	$(2, 1)$ and $(8, 9)$
47506	Find the Asymptotes	f(x)=(5x+15)/(3x^2+10x+3)	$f (x) = \frac{5 x + 15}{3 x^{2} + 10 x + 3}$
47507	Solve the Function Operation	f(x)=8x^5 ; find f^-1(x)	$f (x) = 8 x^{5}$ ; find $f^{- 1} (x)$
47508	Find the Domain	f(x,y) = natural log of 9-x^2-9y^2	$f (x, y) = \ln (9 - x^{2} - 9 y^{2})$
47509	Find the Domain	f(x) = square root of -x^2+8x-7	$f (x) = \sqrt{- x^{2} + 8 x - 7}$
47510	Find the Domain	square root of 1/(x-1)	$\sqrt{\frac{1}{x - 1}}$
47511	Find the Asymptotes	f(x)=(x^2+2x)/(-4x+8)	$f (x) = \frac{x^{2} + 2 x}{- 4 x + 8}$
47512	Find the Domain	f(x)=1/( square root of x^2-4)	$f (x) = \frac{1}{\sqrt{x^{2} - 4}}$
47513	Find the Domain	f(x)=(3x-9)/( square root of x-4)	$f (x) = \frac{3 x - 9}{\sqrt{x - 4}}$
47514	Find the Asymptotes	f(x)=((x+1)(x-7)(x+10))/((x-1)(x-7)(x+10))	$f (x) = \frac{(x + 1) (x - 7) (x + 10)}{(x - 1) (x - 7) (x + 10)}$
47515	Split Using Partial Fraction Decomposition	(80x^3+24x^2-2x+11)/(40x^2+12x-16)	$\frac{80 x^{3} + 24 x^{2} - 2 x + 11}{40 x^{2} + 12 x - 16}$
47516	Find the Asymptotes	f(x)=(-5x+10)/(x^2-2x)	$f (x) = \frac{- 5 x + 10}{x^{2} - 2 x}$
47517	Find the Asymptotes	f(x)=(x^2-2x+1)/(x^2+3x)	$f (x) = \frac{x^{2} - 2 x + 1}{x^{2} + 3 x}$
47518	Find the Asymptotes	f(x)=2x	$f (x) = 2 x$
47519	Determine if Odd, Even, or Neither	f(x)=\|x^4-x^3\|	$f (x) = \| x^{4} - x^{3} \|$
47520	Find the Slope	(3,4) and (3,-3)	$(3, 4)$ and $(3, - 3)$
47521	Find the Asymptotes	f(x)=(x-3)/(3x-9)	$f (x) = \frac{x - 3}{3 x - 9}$
47522	Split Using Partial Fraction Decomposition	(5x^2-4)/(x^2(x+2))	$\frac{5 x^{2} - 4}{x^{2} (x + 2)}$
47523	Find the Domain	f(x)=x/(\|x\|)	$f (x) = \frac{x}{\| x \|}$
47524	Find the GCF	18k and 15k^3	$18 k$ and $15 k^{3}$
47525	Find the Asymptotes	f(x)=(2x^2-3x+3)/(1-2x)	$f (x) = \frac{2 x^{2} - 3 x + 3}{1 - 2 x}$
47526	Find the Vertex	g(x)=-x(x+6)	$g (x) = - x (x + 6)$
47527	Find the Vertex	F(X)=-5X^2+5x+3	$F (X) = - 5 X^{2} + 5 x + 3$
47528	Find the Slope	(6,7) and (4,2)	$(6, 7)$ and $(4, 2)$
47529	Find the Domain	R(x)=(x^2+x-12)/(x^2-x-6)	$R (x) = \frac{x^{2} + x - 12}{x^{2} - x - 6}$
47530	Find the Asymptotes	f(x)=(6x^3+2x^2+7x-1)/(3x^3+2x^2-3x+9)	$f (x) = \frac{6 x^{3} + 2 x^{2} + 7 x - 1}{3 x^{3} + 2 x^{2} - 3 x + 9}$
47531	Evaluate the Function	ax-b=c , a!=0	$a x - b = c$ , $a \neq 0$
47532	Find the Vertex	y^2-5x+12y=-16	$y^{2} - 5 x + 12 y = - 16$
47533	Find the Slope of a Perpendicular Line	y=x	$y = x$
47534	Find the Asymptotes	f(x)=(6x^5-4x^2+5)/(6x^2+5x-4)	$f (x) = \frac{6 x^{5} - 4 x^{2} + 5}{6 x^{2} + 5 x - 4}$
47535	Find the Asymptotes	f(x)=x/(x^2+5x)	$f (x) = \frac{x}{x^{2} + 5 x}$
47536	Solve the Function Operation	f(x)=2x^2+5x+20 Find f(-9)	$f (x) = 2 x^{2} + 5 x + 20$ Find $f (- 9)$
47537	Determine if Odd, Even, or Neither	f(x)=(-x^2)/(x^4-25)	$f (x) = \frac{- x^{2}}{x^{4} - 25}$
47538	Find the Domain	(\|x\|)/x	$\frac{\| x \|}{x}$
47539	Find the Asymptotes	T(x)=(2x^2)/(x^4-256)	$T (x) = \frac{2 x^{2}}{x^{4} - 256}$
47540	Find the GCF	65x^2y^2 10x^4y*5x^3y^2	$65 x^{2} y^{2}$ $10 x^{4} y \cdot 5 x^{3} y^{2}$
47541	Find the Asymptotes	f(x)=(-4x+8)/(2x^2-8)	$f (x) = \frac{- 4 x + 8}{2 x^{2} - 8}$
47542	Solve the Function Operation	f(x)=3x^2+5x-14 Find f(-9)	$f (x) = 3 x^{2} + 5 x - 14$ Find $f (- 9)$
47543	Solve the Function Operation	f(x)=2^x ; find f(7/2)	$f (x) = 2^{x}$ ; find $f (\frac{7}{2})$
47544	Find the Average Rate of Change	g(t)=-(t-1)^2+5	$g (t) = - {(t - 1)}^{2} + 5$
47545	Solve the Function Operation	f(x)=-2x^2-7x+6 Find f(-3)	$f (x) = - 2 x^{2} - 7 x + 6$ Find $f (- 3)$
47546	Find the Domain	F(x)=2/(x^2-1)	$F (x) = \frac{2}{x^{2} - 1}$
47547	Find the Domain	log base 3 of 3x-1 = log base 3 of 10x-9	$\log_{3} (3 x - 1) = \log_{3} (10 x - 9)$
47548	Find the Asymptotes	f(x)=-3^(2x+1)+2	$f (x) = - 3^{2 x + 1} + 2$
47549	Find the GCF	32 and 36	$32$ and $36$
47550	Solve the Function Operation	f(x)=-x^2+7x-13 Find f(-3)	$f (x) = - x^{2} + 7 x - 13$ Find $f (- 3)$
47551	Solve the Function Operation	f(x)=-4x^2-7x+4 Find f(-7)	$f (x) = - 4 x^{2} - 7 x + 4$ Find $f (- 7)$
47552	Solve the Function Operation	g(x)=-5x+2 ; find g(4)	$g (x) = - 5 x + 2$ ; find $g (4)$
47553	Find the Slope	(2,3) and (3,2)	$(2, 3)$ and $(3, 2)$
47554	Solve the Function Operation	f(x)=3x^2+5x-14 Find f(-3)	$f (x) = 3 x^{2} + 5 x - 14$ Find $f (- 3)$
47555	Find the Asymptotes	f(x)=(x^2+x-90)/(2x-18)	$f (x) = \frac{x^{2} + x - 90}{2 x - 18}$
47556	Solve the Function Operation	f(x)=-2x^2-10x Find f(-5)	$f (x) = - 2 x^{2} - 10 x$ Find $f (- 5)$
47557	Find the Domain	f(x)=(5x+14)/(6x^2+x-2)	$f (x) = \frac{5 x + 14}{6 x^{2} + x - 2}$
47558	Solve the Function Operation	f(x)=-2x^2+2x-20 Find f(-8)	$f (x) = - 2 x^{2} + 2 x - 20$ Find $f (- 8)$
47559	Solve the Function Operation	f(x)=-x^2-3x+15 Find f(-8)	$f (x) = - x^{2} - 3 x + 15$ Find $f (- 8)$
47560	Find the Domain	( square root of 2x)/( square root of x-7)	$\frac{\sqrt{2 x}}{\sqrt{x - 7}}$
47561	Split Using Partial Fraction Decomposition	(x^2+2x-1)/(2x^3+3x^2-2x)	$\frac{x^{2} + 2 x - 1}{2 x^{3} + 3 x^{2} - 2 x}$
47562	Find the Asymptotes	f(x)=(4x+18)/(-3x)	$f (x) = \frac{4 x + 18}{- 3 x}$
47563	Find the Domain	f(x)=(2x+5)/( square root of x^2+2x-48)	$f (x) = \frac{2 x + 5}{\sqrt{x^{2} + 2 x - 48}}$
47564	Find the Domain	R(x)=7/(x^2-36)	$R (x) = \frac{7}{x^{2} - 36}$
47565	Find the Vertex	f(x)=1/4(x-6)^2	$f (x) = \frac{1}{4} {(x - 6)}^{2}$
47566	Solve the Function Operation	f(x)=4x^2+x-5 Find f(-5)	$f (x) = 4 x^{2} + x - 5$ Find $f (- 5)$
47567	Find the Domain	f(x)=2 square root of -x^2+10x	$f (x) = 2 \sqrt{- x^{2} + 10 x}$
47568	Find the Domain	f(x) = square root of (x+8)/((x-4)(x+6))	$f (x) = \sqrt{\frac{x + 8}{(x - 4) (x + 6)}}$
47569	Solve the Function Operation	f(x)=-x^2-6x+12 Find f(4)	$f (x) = - x^{2} - 6 x + 12$ Find $f (4)$
47570	Find the Asymptotes	f(x)=(6x^2+63x+120)/(x^2+x-56)	$f (x) = \frac{6 x^{2} + 63 x + 120}{x^{2} + x - 56}$
47571	Solve the Function Operation	f(x)=-3x^2-20 Find f(-9)	$f (x) = - 3 x^{2} - 20$ Find $f (- 9)$
47572	Find the Asymptotes	c(t)=(20t)/(t^2-t-12)	$c (t) = \frac{20 t}{t^{2} - t - 12}$
47573	Find the Asymptotes	f(x)=(x^3+1)/(x^2+2)	$f (x) = \frac{x^{3} + 1}{x^{2} + 2}$
47574	Solve the Function Operation	f(x)=-x^2-7x-2 Find f(-9)	$f (x) = - x^{2} - 7 x - 2$ Find $f (- 9)$
47575	Solve the Function Operation	f(x)=-2x^2-4x-18 Find f(-6)	$f (x) = - 2 x^{2} - 4 x - 18$ Find $f (- 6)$
47576	Solve the Function Operation	f(x)=-x^2-4x Find f(-1)	$f (x) = - x^{2} - 4 x$ Find $f (- 1)$
47577	Solve the Function Operation	f(x)=4x^2+7x-18 Find f(-9)	$f (x) = 4 x^{2} + 7 x - 18$ Find $f (- 9)$
47578	Solve the Function Operation	50+50-25*0+2+2	$50 + 50 - 25 \cdot 0 + 2 + 2$
47579	Find the GCF	12 and 24	$12$ and $24$
47580	Solve the Function Operation	f(x)=-x^2-4x-19 Find f(-9)	$f (x) = - x^{2} - 4 x - 19$ Find $f (- 9)$
47581	Find the Domain	F(x)=1/(x^3-x)	$F (x) = \frac{1}{x^{3} - x}$
47582	Solve the Function Operation	f(x)=2x^2-5x-20 Find f(-9)	$f (x) = 2 x^{2} - 5 x - 20$ Find $f (- 9)$
47583	Solve the Function Operation	60÷5(7-5)	$60 \div 5 (7 - 5)$
47584	Evaluate the Function	f(x)=2x , g(x)=3x^2+6 , g(f(2))	$f (x) = 2 x$ , $g (x) = 3 x^{2} + 6$ , $g (f (2))$
47585	Find the Asymptotes	h(x) = natural log of -x	$h (x) = \ln (- x)$
47586	Determine if Odd, Even, or Neither	f(x)=x^2-\|x\|	$f (x) = x^{2} - \| x \|$
47587	Find the Domain	f(x)=(x+1)/( square root of x^2-9x+18)	$f (x) = \frac{x + 1}{\sqrt{x^{2} - 9 x + 18}}$
47588	Find the Domain	f(x)=(2x+1)/( square root of -x^2-2x+15)	$f (x) = \frac{2 x + 1}{\sqrt{- x^{2} - 2 x + 15}}$
47589	Find the Asymptotes	f(x)=(12x^2+3)/(3x^2-2x+1)	$f (x) = \frac{12 x^{2} + 3}{3 x^{2} - 2 x + 1}$
47590	Find the Asymptotes	f(x)=(2x^3+x^2-8x-4)/(x^2-3x+2)	$f (x) = \frac{2 x^{3} + x^{2} - 8 x - 4}{x^{2} - 3 x + 2}$
47591	Find the Domain	square root of x-7+ square root of 2x	$\sqrt{x - 7} + \sqrt{2 x}$
47592	Find the Asymptotes	f(x)=x/(x^2+2x)	$f (x) = \frac{x}{x^{2} + 2 x}$
47593	Solve the Function Operation	f(x)=-x^2-7x-5 Find f(-5)	$f (x) = - x^{2} - 7 x - 5$ Find $f (- 5)$
47594	Find the Asymptotes	F(x)=x/((x+2)(x-1))	$F (x) = \frac{x}{(x + 2) (x - 1)}$
47595	Find the GCF	60w , 36w^2 , 24w^4	$60 w$ , $36 w^{2}$ , $24 w^{4}$
47596	Find the Vertex	y=-2\|x+4\|-1	$y = - 2 \| x + 4 \| - 1$
47597	Find the Slope	(3/5,2/3) and (-4/5,1/3)	$(\frac{3}{5}, \frac{2}{3})$ and $(- \frac{4}{5}, \frac{1}{3})$
47598	Find the Asymptotes	f(x)=(x^2-3x)/(2x^2-3x-9)	$f (x) = \frac{x^{2} - 3 x}{2 x^{2} - 3 x - 9}$
47599	Solve the Function Operation	f(x)=-2x^2+8x-10 Find f(-4)	$f (x) = - 2 x^{2} + 8 x - 10$ Find $f (- 4)$
47600	Find the Domain	f(x)=(x+5)/( square root of -x^2+x+2)	$f (x) = \frac{x + 5}{\sqrt{- x^{2} + x + 2}}$