Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48401	Find the Asymptotes	y=1/3(2/3)^x	$y = \frac{1}{3} {(\frac{2}{3})}^{x}$
48402	Find the GCF	2a^3 and a^6	$2 a^{3}$ and $a^{6}$
48403	Find the Vertex	y=5/2\|x+9\|-1	$y = \frac{5}{2} \| x + 9 \| - 1$
48404	Find the Slope	(4,1) and (8,4)	$(4, 1)$ and $(8, 4)$
48405	Find the Asymptotes	r(x)=(x^2+3x-10)/((x+1)(x-3)(x+5))	$r (x) = \frac{x^{2} + 3 x - 10}{(x + 1) (x - 3) (x + 5)}$
48406	Find the Slope	(-2,-8) and (6,-4)	$(- 2, - 8)$ and $(6, - 4)$
48407	Find the Vertex	f(x)=x(x-4)	$f (x) = x (x - 4)$
48408	Find the Domain	f(x,y) = square root of x-y	$f (x, y) = \sqrt{x - y}$
48409	Find the Slope	(-3,-2) and (-1,4)	$(- 3, - 2)$ and $(- 1, 4)$
48410	Find the Vertex	y=-\|x\|+5	$y = - \| x \| + 5$
48411	Solve the Function Operation	f(x)=4 cube root of x ; find f^-1(x)	$f (x) = 4 \sqrt[3]{x}$ ; find $f^{- 1} (x)$
48412	Find the Slope	(4,3) and (5,6)	$(4, 3)$ and $(5, 6)$
48413	Find the Average Rate of Change	f(x)=3x^2+3 on 3 , 5	$f (x) = 3 x^{2} + 3$ on $3$ , $5$
48414	Solve the Function Operation	f(x)=3x^2+7x and g(x)=2x^2-x-1 ; find (f-g)(x)	$f (x) = 3 x^{2} + 7 x$ and $g (x) = 2 x^{2} - x - 1$ ; find $(f - g) (x)$
48415	Solve the Function Operation	h(x)=-x-4 ; find h(-6)	$h (x) = - x - 4$ ; find $h (- 6)$
48416	Solve the Function Operation	g(a)=4a ; Find g(2a)	$g (a) = 4 a$ ; Find $g (2 a)$
48417	Find the Slope	(1,2) and (8,4)	$(1, 2)$ and $(8, 4)$
48418	Find the Slope	(-3,-1) and (5,-5)	$(- 3, - 1)$ and $(5, - 5)$
48419	Solve the Function Operation	g(x)=-x-5 ; find g(1)	$g (x) = - x - 5$ ; find $g (1)$
48420	Determine if Odd, Even, or Neither	h(x)=1/x+3x	$h (x) = \frac{1}{x} + 3 x$
48421	Find the GCF	-10c^2d and 15cd^2	$- 10 c^{2} d$ and $15 c d^{2}$
48422	Solve the Function Operation	f(x)=3x+10 g(x)=x-2 find f(g(5))	$f (x) = 3 x + 10$ $g (x) = x - 2$ find $f (g (5))$
48423	Solve the Function Operation	f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1 ; find (f-g)(x)	$f (x) = - x^{2} + 6 x - 1$ and $g (x) = 3 x^{2} - 4 x - 1$ ; find $(f - g) (x)$
48424	Determine if Odd, Even, or Neither	f(x)=13-\|4x\|	$f (x) = 13 - \| 4 x \|$
48425	Find the Slope	(-8,-11) and (17,4)	$(- 8, - 11)$ and $(17, 4)$
48426	Solve the Function Operation	f(x)=(x^(1/3))/4 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{3}}}{4}$ ; find $f^{- 1} (x)$
48427	Find the Slope	(-9,-3) and (1,-3)	$(- 9, - 3)$ and $(1, - 3)$
48428	Solve the Function Operation	f(x)=( square root of x)/5 ; find f^-1(x)	$f (x) = \frac{\sqrt{x}}{5}$ ; find $f^{- 1} (x)$
48429	Find the Vertex	16x^2+9y^2=144	$16 x^{2} + 9 y^{2} = 144$
48430	Solve the Function Operation	f(x)=-3x+5 ; find f(-6)	$f (x) = - 3 x + 5$ ; find $f (- 6)$
48431	Evaluate the Function	q(x)=2x^4-3x^2 , q(-2x^2)	$q (x) = 2 x^{4} - 3 x^{2}$ , $q (- 2 x^{2})$
48432	Find the Asymptotes	f(x)=(2x+2)/(x^3+x^2)	$f (x) = \frac{2 x + 2}{x^{3} + x^{2}}$
48433	Find the Slope	(-2,8) and (2,-2)	$(- 2, 8)$ and $(2, - 2)$
48434	Find the Slope	(-2,2) and (2,-8)	$(- 2, 2)$ and $(2, - 8)$
48435	Find the Asymptotes	y=(20x^2-x)/(1+4x^2)	$y = \frac{20 x^{2} - x}{1 + 4 x^{2}}$
48436	Find the Slope	(-4,4) and (-6,6)	$(- 4, 4)$ and $(- 6, 6)$
48437	Find the Slope	(-5,0) and (-3,1)	$(- 5, 0)$ and $(- 3, 1)$
48438	Find the Asymptotes	T(x)=(2x^2)/(x^4-1)	$T (x) = \frac{2 x^{2}}{x^{4} - 1}$
48439	Find the Asymptotes	f(x)=(2^x+5)/(e^x+1)	$f (x) = \frac{2^{x} + 5}{e^{x} + 1}$
48440	Find the GCF	12 and 42	$12$ and $42$
48441	Determine if Odd, Even, or Neither	f(x)=-1/(x^3)	$f (x) = \frac{- 1}{x^{3}}$
48442	Solve the Function Operation	g(x)=3x+5 ; find g(-6)	$g (x) = 3 x + 5$ ; find $g (- 6)$
48443	Solve the Function Operation	h(x)=-2x-5 ; find h(-2)	$h (x) = - 2 x - 5$ ; find $h (- 2)$
48444	Solve the Function Operation	h(x)=-x+1 ; find h(0)	$h (x) = - x + 1$ ; find $h (0)$
48445	Find the Slope	(5,-10) and (5,-4)	$(5, - 10)$ and $(5, - 4)$
48446	Determine if Odd, Even, or Neither	f(x)=x^3-3x^2-x+3	$f (x) = x^{3} - 3 x^{2} - x + 3$
48447	Find the Slope	(1,6) and (-2,-5)	$(1, 6)$ and $(- 2, - 5)$
48448	Find the Domain	C(t)=(-10t^2+50t)/(t^2+4t+3)	$C (t) = \frac{- 10 t^{2} + 50 t}{t^{2} + 4 t + 3}$
48449	Find the Domain	C(t)=(-18t^2+54t)/(t^2+7t+10)	$C (t) = \frac{- 18 t^{2} + 54 t}{t^{2} + 7 t + 10}$
48450	Solve the Function Operation	h(x)=-5x+3 ; find h(5)	$h (x) = - 5 x + 3$ ; find $h (5)$
48451	Solve the Function Operation	h(x)=4x-4 ; find h(-3)	$h (x) = 4 x - 4$ ; find $h (- 3)$
48452	Find the GCF	12a and 9a^2	$12 a$ and $9 a^{2}$
48453	Solve the Function Operation	h(x)=4x-5 ; find h(2)	$h (x) = 4 x - 5$ ; find $h (2)$
48454	Find the Asymptotes	f(x)=1/(1+e^(-x))	$f (x) = \frac{1}{1 + e^{- x}}$
48455	Find the Asymptotes	T(x)=(2x^3)/(x^4-81)	$T (x) = \frac{2 x^{3}}{x^{4} - 81}$
48456	Solve the Function Operation	h(x)=2x-1 ; find h(-1)	$h (x) = 2 x - 1$ ; find $h (- 1)$
48457	Find the Slope	(-4,-2) and (8,7)	$(- 4, - 2)$ and $(8, 7)$
48458	Solve the Function Operation	h(x)=4x-5 ; find h(-3)	$h (x) = 4 x - 5$ ; find $h (- 3)$
48459	Find the Slope	(5,-4) and (7,-4)	$(5, - 4)$ and $(7, - 4)$
48460	Evaluate the Function	f(x)=1/x , (f(x)-f(a))/(x-a)	$f (x) = \frac{1}{x}$ , $\frac{f (x) - f (a)}{x - a}$
48461	Find the Domain	R(x)=(x^2+x-90)/(x^2-x-72)	$R (x) = \frac{x^{2} + x - 90}{x^{2} - x - 72}$
48462	Solve the Function Operation	f(x)=2x+7 g(x)=2x^2-6x+5 Find: g(f(x))	$f (x) = 2 x + 7$ $g (x) = 2 x^{2} - 6 x + 5$ Find: $g (f (x))$
48463	Find the Domain	H(x)=(-4x^2)/((x-2)(x+4))	$H (x) = \frac{- 4 x^{2}}{(x - 2) (x + 4)}$
48464	Find the Domain	square root of 2x-1+1/x	$\sqrt{2 x - 1} + \frac{1}{x}$
48465	Find the Asymptotes	f(x)=(x^2)/( square root of x^2-1)	$f (x) = \frac{x^{2}}{\sqrt{x^{2} - 1}}$
48466	Determine if Odd, Even, or Neither	f(x) = square root of 4-x^2	$f (x) = \sqrt{4 - x^{2}}$
48467	Find the Domain	f(x)=(x-1)/(25-x^2)	$f (x) = \frac{x - 1}{25 - x^{2}}$
48468	Find the Slope	(x_1,y_1) and (x_2,y_2)	$(x_{1}, y_{1})$ and $(x_{2}, y_{2})$
48469	Find the Slope	(7,-6) and (4,-6)	$(7, - 6)$ and $(4, - 6)$
48470	Solve the Function Operation	h(x)=4x-2 ; Find h(x+2)	$h (x) = 4 x - 2$ ; Find $h (x + 2)$
48471	Find the Domain	(x^3+2x^2)/(3x^2-1)	$\frac{x^{3} + 2 x^{2}}{3 x^{2} - 1}$
48472	Solve the Function Operation	f(x)=-x-2 ; find f(3)	$f (x) = - x - 2$ ; find $f (3)$
48473	Find the Slope	(5/6,-1/2) and (1/3,1/3)	$(\frac{5}{6}, - \frac{1}{2})$ and $(\frac{1}{3}, \frac{1}{3})$
48474	Solve the Function Operation	w(n)=4n+2 ; Find w(3n)	$w (n) = 4 n + 2$ ; Find $w (3 n)$
48475	Solve the Function Operation	f(x)=-4x+3 and g(x)=3x^2+2x-4 ; find (f+g)(x)	$f (x) = - 4 x + 3$ and $g (x) = 3 x^{2} + 2 x - 4$ ; find $(f + g) (x)$
48476	Solve the Function Operation	f(x)=-5x+1 ; find f(6)	$f (x) = - 5 x + 1$ ; find $f (6)$
48477	Find the Asymptotes	f(x)=-3(1/4)^(x+2)+5	$f (x) = - 3 {(\frac{1}{4})}^{x + 2} + 5$
48478	Find the Asymptotes	f(x)=(2x-5)/(2(x^2-1))	$f (x) = \frac{2 x - 5}{2 (x^{2} - 1)}$
48479	Find the Asymptotes	(-4x+17)/(3x)	$\frac{- 4 x + 17}{3 x}$
48480	Determine if Odd, Even, or Neither	f(x) = square root of 3x	$f (x) = \sqrt{3} x$
48481	Solve the Function Operation	h(x)=-3x-4 ; find h(0)	$h (x) = - 3 x - 4$ ; find $h (0)$
48482	Find the Asymptotes	f(x)=-(1/3)^x+2	$f (x) = - {(\frac{1}{3})}^{x} + 2$
48483	Solve the Function Operation	f(x)=3x^2-x-8 g(x)=x+5 Find: g(f(x))	$f (x) = 3 x^{2} - x - 8$ $g (x) = x + 5$ Find: $g (f (x))$
48484	Find the Asymptotes	s(x)=(4x-8)/((x-4)(x+1))	$s (x) = \frac{4 x - 8}{(x - 4) (x + 1)}$
48485	Find the Domain	f(x)=(x^2-9x)/(x^2-81)	$f (x) = \frac{x^{2} - 9 x}{x^{2} - 81}$
48486	Find the Asymptotes	f(x)=(x-3)/(2x^2-8)	$f (x) = \frac{x - 3}{2 x^{2} - 8}$
48487	Solve the Function Operation	Given g(x)=-5x+2 ; find g(4)	Given $g (x) = - 5 x + 2$ ; find $g (4)$
48488	Find the Domain	g(x) = square root of t-3	$g (x) = \sqrt{t - 3}$
48489	Solve the Function Operation	h(x)=5x-1 ; find h(1)	$h (x) = 5 x - 1$ ; find $h (1)$
48490	Solve the Function Operation	f(x)=2^x ; find f(5/2)	$f (x) = 2^{x}$ ; find $f (\frac{5}{2})$
48491	Find the Asymptotes	f(x)=(x-2)/(3(x-1))	$f (x) = \frac{x - 2}{3 (x - 1)}$
48492	Solve the Function Operation	h(x)=3x-3 ; find h(3)	$h (x) = 3 x - 3$ ; find $h (3)$
48493	Find the Asymptotes	G(x)=(x^4-16)/(x^2-2x)	$G (x) = \frac{x^{4} - 16}{x^{2} - 2 x}$
48494	Find the Domain	f(x)=(x-2)/(2x^2+x-10)	$f (x) = \frac{x - 2}{2 x^{2} + x - 10}$
48495	Solve the Function Operation	f(x)=4x-3 ; find f(-5)	$f (x) = 4 x - 3$ ; find $f (- 5)$
48496	Find the Asymptotes	f(x)=(x-1)/(3(x-2))	$f (x) = \frac{x - 1}{3 (x - 2)}$
48497	Find the Domain	2/(3x^2)+x/2=(x+5)/x	$\frac{2}{3 x^{2}} + \frac{x}{2} = \frac{x + 5}{x}$
48498	Solve the Function Operation	h(x)=2x-3 ; find h(5)	$h (x) = 2 x - 3$ ; find $h (5)$
48499	Determine if Odd, Even, or Neither	g(x)=x+x^2	$g (x) = x + x^{2}$
48500	Find the Asymptotes	f(x)=(x^2)/(x^3-27)	$f (x) = \frac{x^{2}}{x^{3} - 27}$