Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49501	Evaluate the Function	A=[[2,-3],[-1,3]] , B=[[4,-2],[1,5]]	$A = [\begin{array}{c} 2 & - 3 \\ - 1 & 3 \end{array}]$ , $B = [\begin{array}{c} 4 & - 2 \\ 1 & 5 \end{array}]$
49502	Solve the Function Operation	f(x)=3x^2+4x-3 g(x)=x-6 Find: (fog)(x)	$f (x) = 3 x^{2} + 4 x - 3$ $g (x) = x - 6$ Find: $((f \circ g)) (x)$
49503	Find the Slope	(1,7) and (10,1)	$(1, 7)$ and $(10, 1)$
49504	Find the Asymptotes	f(x)=(2x^3+10x^2+8x)/(x^3+7x^2+12x)	$f (x) = \frac{2 x^{3} + 10 x^{2} + 8 x}{x^{3} + 7 x^{2} + 12 x}$
49505	Find the Asymptotes	k(x)=3tan((3pi)/2x)	$k (x) = 3 \tan (\frac{3 π}{2} x)$
49506	Solve the Function Operation	f(x)=10x^7 ; find f^-1(x)	$f (x) = 10 x^{7}$ ; find $f^{- 1} (x)$
49507	Find the Asymptotes	(x^3+x^2)/(x^2-4)	$\frac{x^{3} + x^{2}}{x^{2} - 4}$
49508	Find the Slope	(5,4) and (7,9)	$(5, 4)$ and $(7, 9)$
49509	Solve the Function Operation	g(x)=-3x+1 ; find g(2)	$g (x) = - 3 x + 1$ ; find $g (2)$
49510	Find the GCF	Find the GCF of 45x and 20	Find the GCF of $45 x$ and $20$
49511	Solve the Function Operation	If f(x)=28x^6 and g(x)=4x^2 , x!=0 ; find (f/g)(x)	If $f (x) = 28 x^{6}$ and $g (x) = 4 x^{2}$ , $x \neq 0$ ; find $(\frac{f}{g}) (x)$
49512	Find the Domain	( square root of 3)/4x^2	$\frac{\sqrt{3}}{4} x^{2}$
49513	Solve the Function Operation	2ab+4ac-5c ; con , -6c+7ab	$2 a b + 4 a c - 5 c$ ; con , $- 6 c + 7 a b$
49514	Determine if Odd, Even, or Neither	f(x)=x^2 square root of 1-x^2	$f (x) = x^{2} \sqrt{1 - x^{2}}$
49515	Find the Domain	h(x)=( square root of x^2-81)/((x+12)(x-4))	$h (x) = \frac{\sqrt{x^{2} - 81}}{(x + 12) (x - 4)}$
49516	Solve the Function Operation	f(x)=3x+10 g(x)=x-2 Find f(g(0))	$f (x) = 3 x + 10$ $g (x) = x - 2$ Find $f (g (0))$
49517	Find the Domain	c/(b-c)+(b^2-3bc)/(b^2-c^2)	$\frac{c}{b - c} + \frac{b^{2} - 3 b c}{b^{2} - c^{2}}$
49518	Solve the Function Operation	f(x)=-2x-2 if x!=-4; 4 if x=-4 Find f(-4)	$f (x) = {\begin{cases} - 2 x - 2 & x \neq - 4 \\ 4 & x = - 4 \end{cases}$ Find $f (- 4)$
49519	Find the Slope	(-8,-1) and (-12,-2)	$(- 8, - 1)$ and $(- 12, - 2)$
49520	Solve the Function Operation	f(x)=x^2+x-8 g(x)=x+7 Find: f(g(x))	$f (x) = x^{2} + x - 8$ $g (x) = x + 7$ Find: $f (g (x))$
49521	Find the Slope	(8,5) and (-9,5)	$(8, 5)$ and $(- 9, 5)$
49522	Find the Asymptotes	f(x)=(2x^4-2x+13)/(3x^2-4x+pi)	$f (x) = \frac{2 x^{4} - 2 x + 13}{3 x^{2} - 4 x + π}$
49523	Find the Hyperbola Given the Vertices and Foci	vertices at (6,0) , (-6,0) ; foci at (8,0) , (-8,0)	vertices at $(6, 0)$ , $(- 6, 0)$ ; foci at $(8, 0)$ , $(- 8, 0)$
49524	Find the Domain	(5x(x-y))/(x^3(y-x))	$\frac{5 x (x - y)}{x^{3} (y - x)}$
49525	Solve the Function Operation	f(x)=( cube root of x+8)/7 ; find f^-1(x)	$f (x) = \frac{\sqrt[3]{x + 8}}{7}$ ; find $f^{- 1} (x)$
49526	Find the Domain	(ab-b)/a-(ab-a)/b-(a^2-b^2)/(ab)	$\frac{a b - b}{a} - \frac{a b - a}{b} - \frac{a^{2} - b^{2}}{a b}$
49527	Solve the Function Operation	If f(x)=x^2+1 and g(x) = square root of 2x+3 ; find (fog)(x)	If $f (x) = x^{2} + 1$ and $g (x) = \sqrt{2 x + 3}$ ; find $((f \circ g)) (x)$
49528	Solve the Function Operation	f(x)=-x-4 g(x)=2x^2+4x+11 Find: (fog)(x)	$f (x) = - x - 4$ $g (x) = 2 x^{2} + 4 x + 11$ Find: $((f \circ g)) (x)$
49529	Find the Slope	Find the slope of the line passing through the points (-5,-2) and (3,-9)	Find the slope of the line passing through the points $(- 5, - 2)$ and $(3, - 9)$
49530	Solve the Function Operation	f(x)=(x-9)^7 ; find f^-1(x)	$f (x) = {(x - 9)}^{7}$ ; find $f^{- 1} (x)$
49531	Solve the Function Operation	f(x)=(x^7)/7 ; find f^-1(x)	$f (x) = \frac{x^{7}}{7}$ ; find $f^{- 1} (x)$
49532	Solve the Function Operation	f(x)=(x+4)^2-7 if x!=-1; 5 if x=-1 Find f(-1)	$f (x) = {\begin{cases} {(x + 4)}^{2} - 7 & x \neq - 1 \\ 5 & x = - 1 \end{cases}$ Find $f (- 1)$
49533	Find the Domain	(y+3)/(y+2)*(y^2+4y+4)/(y^2-9)	$\frac{y + 3}{y + 2} \cdot \frac{y^{2} + 4 y + 4}{y^{2} - 9}$
49534	Solve the Function Operation	f(t)=2t-5 Find f(f(n/4))	$f (t) = 2 t - 5$ Find $f (f (\frac{n}{4}))$
49535	Solve the Function Operation	f(x)=(x-7)^(1/3) ; find f^-1(x)	$f (x) = {(x - 7)}^{\frac{1}{3}}$ ; find $f^{- 1} (x)$
49536	Find the GCF	64x^2+48x+9 and 64x^2-9	$64 x^{2} + 48 x + 9$ and $64 x^{2} - 9$
49537	Solve the Function Operation	f(x) = fifth root of x-1 ; find f^-1(x)	$f (x) = \sqrt[5]{x - 1}$ ; find $f^{- 1} (x)$
49538	Find the Domain	square root of (3-x)/(5-x)	$\sqrt{\frac{3 - x}{5 - x}}$
49539	Find the Domain	(-1/x)(1-x)/(1+x)x/(x^2-1)	$(- \frac{1}{x}) \times \frac{1 - x}{1 + x} \times \frac{x}{x^{2} - 1}$
49540	Find the Domain	f(x)=(2x^2-2x-4)/(x^2+2x-24)	$f (x) = \frac{2 x^{2} - 2 x - 4}{x^{2} + 2 x - 24}$
49541	Solve the Function Operation	2 , 400=7 , 500(10)^(-x)	$2$ , $400 = 7$ , $500 {(10)}^{- x}$
49542	Find the Slope	(-1,-9) and (5,-6)	$(- 1, - 9)$ and $(5, - 6)$
49543	Find the Domain	f(x)=(4cos(x))/(1-sin(x))	$f (x) = \frac{4 \cos (x)}{1 - \sin (x)}$
49544	Find the Asymptotes	y=((x+3)(x-4)(x+7))/(x-4)	$y = \frac{(x + 3) (x - 4) (x + 7)}{(x - 4)}$
49545	Find the Asymptotes	f(x) = log base 1/4 of x-1+1	$f (x) = \log_{\frac{1}{4}} (x - 1) + 1$
49546	Solve the Function Operation	f(x)=( cube root of x-7)/5 ; find f^-1(x)	$f (x) = \frac{\sqrt[3]{x} - 7}{5}$ ; find $f^{- 1} (x)$
49547	Solve the Function Operation	f(x)=x^2-x+11 g(x)=-x-4 Find: (gof)(x)	$f (x) = x^{2} - x + 11$ $g (x) = - x - 4$ Find: $((g \circ f)) (x)$
49548	Solve the Function Operation	Given that f(x)=x^2+9x+20 and g(x)=x+5 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 9 x + 20$ and $g (x) = x + 5$ ; find $f (x) + g (x)$ and express the result in standard form.
49549	Find the GCF	5b and 6b	$5 b$ and $6 b$
49550	Find the Asymptotes	(x^2+x)/(4x+4)	$\frac{x^{2} + x}{4 x + 4}$
49551	Solve the Function Operation	f(x)=-x+6 if x<1; -5 if x=1; x+4 if x>1 Find f(1)	$f (x) = {\begin{cases} - x + 6 & x < 1 \\ - 5 & x = 1 \\ x + 4 & x > 1 \end{cases}$ Find $f (1)$
49552	Find the Domain	(5+3x)/( square root of 2-x)	$\frac{5 + 3 x}{\sqrt{2 - x}}$
49553	Solve the Function Operation	f(x)=(x+9)^(1/2) ; find f^-1(x)	$f (x) = {(x + 9)}^{\frac{1}{2}}$ ; find $f^{- 1} (x)$
49554	Find the Domain	f(x)=1/4\|x\|	$f (x) = \frac{1}{4} \| x \|$
49555	Solve the Function Operation	f(x)=4x+11 , f(c+7)	$f (x) = 4 x + 11$ , $f (c + 7)$
49556	Find the Asymptotes	y=-3/(x+3)-2	$y = - \frac{3}{x + 3} - 2$
49557	Find the Slope	(-1,-20) and (-1,1)	$(- 1, - 20)$ and $(- 1, 1)$
49558	Find the Slope	(-4,5) and (-8,-5)	$(- 4, 5)$ and $(- 8, - 5)$
49559	Find the Domain	5/( cube root of x-8)	$\frac{5}{\sqrt[3]{x - 8}}$
49560	Find the Slope	(5,6) and (6,5)	$(5, 6)$ and $(6, 5)$
49561	Find the Slope	(0,3) and (4,1)	$(0, 3)$ and $(4, 1)$
49562	Find the Asymptotes	(3x^2-75)/(x^2-5x)	$\frac{3 x^{2} - 75}{x^{2} - 5 x}$
49563	Find the GCF	18x^6 and 12x^3	$18 x^{6}$ and $12 x^{3}$
49564	Find the Asymptotes	f(x)=(3x^2+6x)/(x^2+x)	$f (x) = \frac{3 x^{2} + 6 x}{x^{2} + x}$
49565	Solve the Function Operation	f(x)=2x-6 if x!=4; 6 if x=4 Find f(-1)	$f (x) = {\begin{cases} 2 x - 6 & x \neq 4 \\ 6 & x = 4 \end{cases}$ Find $f (- 1)$
49566	Solve the Function Operation	Given that f(x)=x^2+10x+21 and g(x)=x+3 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 10 x + 21$ and $g (x) = x + 3$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
49567	Solve the Function Operation	f(x)=(x-8)^(1/2) ; find f^-1(x)	$f (x) = {(x - 8)}^{\frac{1}{2}}$ ; find $f^{- 1} (x)$
49568	Find the Asymptotes	(x^2-1)/(3x^2+3x)	$\frac{x^{2} - 1}{3 x^{2} + 3 x}$
49569	Find the Slope	(-a+2,b-3) and (a+2,-b)	$(- a + 2, b - 3)$ and $(a + 2, - b)$
49570	Find the Domain	g(x) = square root of 5- square root of 2x-1	$g (x) = \sqrt{5 - \sqrt{2 x - 1}}$
49571	Find the Domain	f(x)=(8cos(x))/(1-sin(x))	$f (x) = \frac{8 \cos (x)}{1 - \sin (x)}$
49572	Solve the Function Operation	Given that f(x)=x^2+x and g(x)=3x+1 ; find the value of f(g(4))	Given that $f (x) = x^{2} + x$ and $g (x) = 3 x + 1$ ; find the value of $f (g (4))$
49573	Find the Asymptotes	(3x^2-27)/(x^2-3x)	$\frac{3 x^{2} - 27}{x^{2} - 3 x}$
49574	Find the Slope	(3,8) and (9,10)	$(3, 8)$ and $(9, 10)$
49575	Solve the Function Operation	f(x)=(x^(1/3))/5+8 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{3}}}{5} + 8$ ; find $f^{- 1} (x)$
49576	Solve the Function Operation	g(4c) if g(x)=2x^2-3x+8	$g (4 c)$ if $g (x) = 2 x^{2} - 3 x + 8$
49577	Solve the Function Operation	f(x)=x^3-9 ; find f^-1(x)	$f (x) = x^{3} - 9$ ; find $f^{- 1} (x)$
49578	Find the Domain	-8/(2a+b)	$- \frac{8}{2 a + b}$
49579	Find the GCF	4x^3 and 9y^5	$4 x^{3}$ and $9 y^{5}$
49580	Find the Asymptotes	f(x)=(x^2-x-2)/((x-2)^2)	$f (x) = \frac{x^{2} - x - 2}{{(x - 2)}^{2}}$
49581	Find the Direction Angle of the Vector	-4i-8j	$- 4 i - 8 j$
49582	Find the GCF	12 and 48	$12$ and $48$
49583	Find the Asymptotes	f(x)=-1/4e^(x-3)	$f (x) = - \frac{1}{4} e^{x - 3}$
49584	Find the Vertex	-8y^2+2=x	$- 8 y^{2} + 2 = x$
49585	Find the Domain	((x-b)^2)/((x+b)^2)	$\frac{{(x - b)}^{2}}{{(x + b)}^{2}}$
49586	Find the Slope	Find the slope of the line passing through the points (-7,-7) and (-3,6)	Find the slope of the line passing through the points $(- 7, - 7)$ and $(- 3, 6)$
49587	Find the Slope	3x+7y+13=5+3x	$3 x + 7 y + 13 = 5 + 3 x$
49588	Find the Slope	(7/8,-1/2) and (1/4,1/4)	$(\frac{7}{8}, - \frac{1}{2})$ and $(\frac{1}{4}, \frac{1}{4})$
49589	Find the Slope	y=(3x)/7+4/7	$y = \frac{3 x}{7} + \frac{4}{7}$
49590	Solve the Function Operation	sin(theta)=5/13 , theta in Quadrant II	$\sin (θ) = \frac{5}{13}$ , $θ$ in Quadrant $I \cdot I$
49591	Find the GCF	57x^5y^3 , 36x^2y , 33xy^2	$57 x^{5} y^{3}$ , $36 x^{2} y$ , $33 x y^{2}$
49592	Find the GCF	12 and 15	$12$ and $15$
49593	Find the GCF	90z^7 and 48z^5	$90 z^{7}$ and $48 z^{5}$
49594	Solve the Function Operation	Given that f(x)=x^2-4x-21 and g(x)=x+3 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 4 x - 21$ and $g (x) = x + 3$ ; find $(f - g) (x)$ and express the result in standard form.
49595	Find the Slope	(5,14) and (1,6)	$(5, 14)$ and $(1, 6)$
49596	Find the Domain	square root of 4x^2-12x+9	$\sqrt{4 x^{2} - 12 x + 9}$
49597	Solve the Function Operation	f(x)=-(x-1)^2-3 if x<3; -4 if x=3; -3 if x>3 Find f(8)	$f (x) = {\begin{cases} - {(x - 1)}^{2} - 3 & x < 3 \\ - 4 & x = 3 \\ - 3 & x > 3 \end{cases}$ Find $f (8)$
49598	Find the Domain	(m-n)/(mn)*(2mn)/(mn-m^2)	$\frac{m - n}{m n} \cdot \frac{2 m n}{m n - m^{2}}$
49599	Find the Domain	e^(x^2)	$e^{x^{2}}$
49600	Solve the Function Operation	2^(5x)=32 , 768	$2^{5 x} = 32$ , $768$