Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49601	Solve the Function Operation	g(x)=-x-2 ; find g(-3)	$g (x) = - x - 2$ ; find $g (- 3)$
49602	Find the Asymptotes	f(x)=(3x^4-2x+1)/(-x^3+8)	$f (x) = \frac{3 x^{4} - 2 x + 1}{- x^{3} + 8}$
49603	Solve the Function Operation	f(x)=5x+1 ; find f(-3)	$f (x) = 5 x + 1$ ; find $f (- 3)$
49604	Solve the Function Operation	Given that f(x)=x^2-5x-36 and g(x)=x+4 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 5 x - 36$ and $g (x) = x + 4$ ; find $(f + g) (x)$ and express the result in standard form.
49605	Find the Slope	(11/8,-1/2) and (1/4,1/4)	$(\frac{11}{8}, - \frac{1}{2})$ and $(\frac{1}{4}, \frac{1}{4})$
49606	Find the Domain	(15xy^2)/(4a)	$\frac{15 x y^{2}}{4 a}$
49607	Solve the Function Operation	Find (f+g)(x) ; given that f(x)=6x+7 and g(x)=5-8x	Find $(f + g) (x)$ ; given that $f (x) = 6 x + 7$ and $g (x) = 5 - 8 x$
49608	Solve the Function Operation	f(x)=10(x+7) ; find f^-1(x)	$f (x) = 10 (x + 7)$ ; find $f^{- 1} (x)$
49609	Solve the Function Operation	sin(theta)=-12/13 , theta in Quadrant IV	$\sin (θ) = - \frac{12}{13}$ , $θ$ in Quadrant $I V$
49610	Find the Domain	(\|x-2\|)/( square root of x)	$\frac{\| x - 2 \|}{\sqrt{x}}$
49611	Find the Domain	(x-3)/(x-1)-2/(1-x)	$\frac{x - 3}{x - 1} - \frac{2}{1 - x}$
49612	Find the Asymptotes	f(x)=(x^2)/(x^2-x)	$f (x) = \frac{x^{2}}{x^{2} - x}$
49613	Solve the Function Operation	A=[[2,-3],[-1,3]] , B=[[1,0],[-1,1],[2,-2]]	$A = [\begin{array}{c} 2 & - 3 \\ - 1 & 3 \end{array}]$ , $B = [\begin{array}{c} 1 & 0 \\ - 1 & 1 \\ 2 & - 2 \end{array}]$
49614	Find the Domain	(x-2)/( square root of 16-x^2)	$\frac{x - 2}{\sqrt{16 - x^{2}}}$
49615	Determine if Odd, Even, or Neither	f(x)=x^5+x^3+x	$f (x) = x^{5} + x^{3} + x$
49616	Solve the Function Operation	8m increased by 25%	$8 meters$ increased by $25 %$
49617	Solve the Function Operation	Given that f(x)=x^2-4x-21 and g(x)=x-7 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 4 x - 21$ and $g (x) = x - 7$ ; find $f (x) - g (x)$ and express the result in standard form.
49618	Solve the Function Operation	f(x)=(x-5)^(1/5) ; find f^-1(x)	$f (x) = {(x - 5)}^{\frac{1}{5}}$ ; find $f^{- 1} (x)$
49619	Solve the Function Operation	Given that f(x)=x^2+3x-28 and g(x)=x+7 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 28$ and $g (x) = x + 7$ ; find $f (x) + g (x)$ and express the result in standard form.
49620	Find the Domain	e^(1/x)	$e^{\frac{1}{x}}$
49621	Solve the Function Operation	Find (f*g)(x) when f(x)=2x^2 and g(x)=6x	Find $(f \cdot g) (x)$ when $f (x) = 2 x^{2}$ and $g (x) = 6 x$
49622	Solve the Function Operation	f(x)=-4 if x!=-3; -3 if x=-3 Find f(-2)	$f (x) = {\begin{cases} - 4 & x \neq - 3 \\ - 3 & x = - 3 \end{cases}$ Find $f (- 2)$
49623	Find the Domain	f(x)=1/( square root of x^2-5x-6)	$f (x) = \frac{1}{\sqrt{x^{2} - 5 x - 6}}$
49624	Find the Asymptotes	((x^3+5)(2x-1))/((x^2-4)(x^2+4))	$\frac{(x^{3} + 5) (2 x - 1)}{(x^{2} - 4) (x^{2} + 4)}$
49625	Find the Asymptotes	f(x)=(2x^2-4x)/(x^2+4x+4)	$f (x) = \frac{2 x^{2} - 4 x}{x^{2} + 4 x + 4}$
49626	Find the Slope	(9,-2) and (-3,2)	$(9, - 2)$ and $(- 3, 2)$
49627	Solve the Function Operation	f(x)=x+7 , f(5)	$f (x) = x + 7$ , $f (5)$
49628	Find the Slope	(-8,-1) and (-6,5)	$(- 8, - 1)$ and $(- 6, 5)$
49629	Find the Slope	4-3x=y	$4 - 3 x = y$
49630	Solve the Function Operation	f(x)=4x+5 Find f(f(-1))	$f (x) = 4 x + 5$ Find $f (f (- 1))$
49631	Find the Average Rate of Change	table[[x,y],[0,7],[4,12],[8,17],[12,22]]	$\begin{array}{c} x & y \\ 0 & 7 \\ 4 & 12 \\ 8 & 17 \\ 12 & 22 \end{array}$
49632	Find the Slope	(-2,13) and (1,1)	$(- 2, 13)$ and $(1, 1)$
49633	Find the Domain	(x+2)/(x^2-25)+1=(8x)/(2x-10)	$\frac{x + 2}{x^{2} - 25} + 1 = \frac{8 x}{2 x - 10}$
49634	Determine if Odd, Even, or Neither	y=f(x)g(x)	$y = f (x) g (x)$
49635	Solve the Function Operation	f(x)=(x-6)^2-1 if x!=4; -1 if x=4 Find f(4)	$f (x) = {\begin{cases} {(x - 6)}^{2} - 1 & x \neq 4 \\ - 1 & x = 4 \end{cases}$ Find $f (4)$
49636	Solve the Function Operation	f(x)=-3x-5 if x!=-1; -6 if x=-1 Find f(-1)	$f (x) = {\begin{cases} - 3 x - 5 & x \neq - 1 \\ - 6 & x = - 1 \end{cases}$ Find $f (- 1)$
49637	Find the Domain	(x^2-4)/(1-6x)	$\frac{x^{2} - 4}{1 - 6 x}$
49638	Find the Slope	(6,6) and (-10,-7)	$(6, 6)$ and $(- 10, - 7)$
49639	Solve the Function Operation	f(x)=( cube root of x)/2+9 ; find f^-1(x)	$f (x) = \frac{\sqrt[3]{x}}{2} + 9$ ; find $f^{- 1} (x)$
49640	Find the Asymptotes	(x^2-12x+27)/(2x^2-20x)	$\frac{x^{2} - 12 x + 27}{2 x^{2} - 20 x}$
49641	Solve the Function Operation	f(x)=-3x-3 if x<-2; 6x-28 if x>=5 Find f(5)	$f (x) = {\begin{cases} - 3 x - 3 & x < - 2 \\ 6 x - 28 & x \geq 5 \end{cases}$ Find $f (5)$
49642	Find the Domain	(8a+4b)/(2ab+b^2-2ad-bd)	$\frac{8 a + 4 b}{2 a b + b^{2} - 2 a d - b d}$
49643	Solve the Function Operation	g(x)=-x-3 ; find g(1)	$g (x) = - x - 3$ ; find $g (1)$
49644	Find the Asymptotes	(2x+2)/(x^3+x^2)	$\frac{2 x + 2}{x^{3} + x^{2}}$
49645	Find the Domain	(2x^2-10x)/((x-5)(x^2-1))*(3x^2+4x+1)	$\frac{(2 x^{2} - 10 x)}{(x - 5) (x^{2} - 1)} \cdot (3 x^{2} + 4 x + 1)$
49646	Solve the Function Operation	f(x)=2(x^7+2) ; find f^-1(x)	$f (x) = 2 (x^{7} + 2)$ ; find $f^{- 1} (x)$
49647	Find the Domain	2^(x^2+x+0.5)=4 square root of 2	$2^{x^{2} + x + 0.5} = 4 \sqrt{2}$
49648	Find the GCF	24 and 60	$24$ and $60$
49649	Find the Asymptotes	y=tan(x+pi)	$y = \tan (x + π)$
49650	Find the Slope	(-4,12) and (4,6)	$(- 4, 12)$ and $(4, 6)$
49651	Find the Domain	(b-c)/(a+b)-(ab-b^2)/(a^2-ac)*(a^2-c^2)/(a^2-b^2)	$\frac{b - c}{a + b} - \frac{a b - b^{2}}{a^{2} - a c} \cdot \frac{a^{2} - c^{2}}{a^{2} - b^{2}}$
49652	Find the Difference Quotient	1/(2x)	$\frac{1}{2 x}$
49653	Find the Slope	(-4,-2) and (-4,-22)	$(- 4, - 2)$ and $(- 4, - 22)$
49654	Find the Asymptotes	f(x)=1/4 log base 5 of x	$f (x) = \frac{1}{4} \log_{5} (x)$
49655	Find the Asymptotes	(3x^2+18x+24)/(x^2+2x)	$\frac{3 x^{2} + 18 x + 24}{x^{2} + 2 x}$
49656	Find the Asymptotes	g(x)=(2x^2+x-9)/(x^2-2x-8)	$g (x) = \frac{2 x^{2} + x - 9}{x^{2} - 2 x - 8}$
49657	Solve the Function Operation	Given that f(x)=x^2+4x-32 and g(x)=x-4 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 4 x - 32$ and $g (x) = x - 4$ ; find $(f + g) (x)$ and express the result in standard form.
49658	Solve the Function Operation	If f(x)=6x^2 and g(x)=8x^2 ; what is (f*g)(x) ?	If $f (x) = 6 x^{2}$ and $g (x) = 8 x^{2}$ ; what is $(f \cdot g) (x)$ ?
49659	Find the Domain	f(x)=- square root of x^2+4	$f (x) = - \sqrt{x^{2} + 4}$
49660	Solve the Function Operation	Given that f(x)=x^2+3x-40 and g(x)=x+8 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 40$ and $g (x) = x + 8$ ; find $f (x) + g (x)$ and express the result in standard form.
49661	Find the Asymptotes	f(x)=(5x^2)/(2x^3)	$f (x) = \frac{5 x^{2}}{2 x^{3}}$
49662	Find the Domain	f(x)=(e^(-x))/( square root of e^(2x)-e^x-2)	$f (x) = \frac{e^{- x}}{\sqrt{e^{2 x} - e^{x} - 2}}$
49663	Find the Asymptotes	f(x)=2cot(x-pi/4)	$f (x) = 2 \cot (x - \frac{π}{4})$
49664	Solve the Function Operation	f(x)=(x+2)^2-6 if x!=-1; -6 if x=-1 Find f(-1)	$f (x) = {\begin{cases} {(x + 2)}^{2} - 6 & x \neq - 1 \\ - 6 & x = - 1 \end{cases}$ Find $f (- 1)$
49665	Find the Constant of Variation	y=36 when x=3	$y = 36$ when $x = 3$
49666	Solve the Function Operation	f(x)=3x-2 ; find f(-6)	$f (x) = 3 x - 2$ ; find $f (- 6)$
49667	Solve the Function Operation	k(a)=-4^(3a+2) ; Find k(a-2)	$k (a) = - 4^{3 a + 2}$ ; Find $k (a - 2)$
49668	Solve the Function Operation	Given that f(x)=x^2-6x+8 and g(x)=x-2 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 6 x + 8$ and $g (x) = x - 2$ ; find $f (x) + g (x)$ and express the result in standard form.
49669	Find the Vertex	x^2+(y-2)^2=4	$x^{2} + {(y - 2)}^{2} = 4$
49670	Solve the Function Operation	g(t)=t^2+3 h(t)=4t-3 find (g*h)(-1)	$g (t) = t^{2} + 3$ $h (t) = 4 t - 3$ find $(g \cdot h) (- 1)$
49671	Find the Asymptotes	f(x)=(x^3-5x)/(x^2+1)	$f (x) = \frac{x^{3} - 5 x}{x^{2} + 1}$
49672	Solve the Function Operation	Given that f(x)=x^2+12x+35 and g(x)=x+7 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 12 x + 35$ and $g (x) = x + 7$ ; find $(f \cdot g) (x)$ and express the result in standard form.
49673	Find the Slope	(3,-9) and (-12,-6)	$(3, - 9)$ and $(- 12, - 6)$
49674	Find the GCF	28 and 35	$28$ and $35$
49675	Solve the Function Operation	cos(theta)=-3/5 , theta in quadrant II	$\cos (θ) = - \frac{3}{5}$ , $θ$ in quadrant $I \cdot I$
49676	Find the Domain	tan(theta)-sin(theta)-cos(2theta)	$\tan (θ) - \sin (θ) - \cos (2 θ)$
49677	Find the Asymptotes	(3x^2-3x)/(x^2+x-12)	$\frac{3 x^{2} - 3 x}{x^{2} + x - 12}$
49678	Solve the Function Operation	Given that f(x)=x^2+2x-24 and g(x)=x-4 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 2 x - 24$ and $g (x) = x - 4$ ; find $(f + g) (x)$ and express the result in standard form.
49679	Find the Asymptotes	y=1/2tan(2x)	$y = \frac{1}{2} \tan (2 x)$
49680	Determine if Odd, Even, or Neither	2x^4+8x	$2 x^{4} + 8 x$
49681	Find the Asymptotes	f(x) = log base 1/2 of x+3	$f (x) = \log_{\frac{1}{2}} (x) + 3$
49682	Solve the Function Operation	g(n)=-2n+5 f(n)=-2n Find (g*f)(n)	$g (n) = - 2 n + 5$ $f (n) = - 2 n$ Find $(g \cdot f) (n)$
49683	Find the Asymptotes	(x^3-2x^2+5)/(x^2)	$\frac{x^{3} - 2 x^{2} + 5}{x^{2}}$
49684	Find the Asymptotes	(3x^2-243)/(2x^2+9x)	$\frac{3 x^{2} - 243}{2 x^{2} + 9 x}$
49685	Find the Slope	(-3,-3) and (-5,-2)	$(- 3, - 3)$ and $(- 5, - 2)$
49686	Solve the Function Operation	g(n)=4n-5 h(n)=2n+1 Find g(h(8))	$g (n) = 4 n - 5$ $h (n) = 2 n + 1$ Find $g (h (8))$
49687	Find the Domain	-(2a-5)/(5+2a)	$- \frac{2 a - 5}{5 + 2 a}$
49688	Evaluate the Function	f(x)=-x^3 , (f(a+h)-f(a))/h	$f (x) = - x^{3}$ , $\frac{f (a + h) - f (a)}{h}$
49689	Solve the Function Operation	f(x)=(x^5)/5 ; find f^-1(x)	$f (x) = \frac{x^{5}}{5}$ ; find $f^{- 1} (x)$
49690	Find the Asymptotes	f(x)=4* log base pi of x	$f (x) = 4 \cdot \log_{π} (x)$
49691	Solve the Function Operation	f(x)=x^2-2x-10 g(x)=-3x-2 Find: (fog)(x)	$f (x) = x^{2} - 2 x - 10$ $g (x) = - 3 x - 2$ Find: $((f \circ g)) (x)$
49692	Solve the Function Operation	f(x)=(x^(1/2))/4 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{2}}}{4}$ ; find $f^{- 1} (x)$
49693	Solve the Function Operation	f(x) = fifth root of x+4 ; find f^-1(x)	$f (x) = \sqrt[5]{x + 4}$ ; find $f^{- 1} (x)$
49694	Find the Domain	(2(a-b))/(a(a+b))	$\frac{2 (a - b)}{a (a + b)}$
49695	Find the GCF	18m^2 and 25	$18 m^{2}$ and $25$
49696	Find the GCF	25 and 75	$25$ and $75$
49697	Find the GCF	9 and 27	$9$ and $27$
49698	Find the Asymptotes	y=tan(x-pi)	$y = \tan (x - π)$
49699	Find the Slope	(11,-3) and (7,9)	$(11, - 3)$ and $(7, 9)$
49700	Find the Asymptotes	x^2+y^2+6x-2y-15=0	$x^{2} + y^{2} + 6 x - 2 y - 15 = 0$