Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48601	Solve the Function Operation	h(x)=-x+2 ; find h(4)	$h (x) = - x + 2$ ; find $h (4)$
48602	Find the Domain	f(x,y) = square root of natural log of x+y	$f (x, y) = \sqrt{\ln (x + y)}$
48603	Evaluate the Function	j(x)=-x^2+3x+10 , j(3x-2)	$j (x) = - x^{2} + 3 x + 10$ , $j (3 x - 2)$
48604	Find the Slope	(3,-3) and (-4,2)	$(3, - 3)$ and $(- 4, 2)$
48605	Find the Domain	f(x)=( square root of x-5)/(2x^2-17x+21)	$f (x) = \frac{\sqrt{x - 5}}{2 x^{2} - 17 x + 21}$
48606	Determine if Odd, Even, or Neither	f(x) = cube root of x-x^3	$f (x) = \sqrt[3]{x} - x^{3}$
48607	Find the Domain	( square root of 25-x^2)/( square root of x+3)	$\frac{\sqrt{25 - x^{2}}}{\sqrt{x + 3}}$
48608	Solve the Function Operation	h(t)=-2*5^(-t-1) ; Find h(-2)	$h (t) = - 2 \cdot 5^{- t - 1}$ ; Find $h (- 2)$
48609	Find the Slope	(3,4) and (1,7)	$(3, 4)$ and $(1, 7)$
48610	Solve the Function Operation	h(x)=5x+1 ; find h(2)	$h (x) = 5 x + 1$ ; find $h (2)$
48611	Find the Vertex	f(x)=(x+1)^2-25/9	$f (x) = {(x + 1)}^{2} - \frac{25}{9}$
48612	Find the Asymptotes	g(x)=(1-x)/(x^2+2)	$g (x) = \frac{1 - x}{x^{2} + 2}$
48613	Find the GCF	18 and 48	$18$ and $48$
48614	Find the Domain	R(x)=(x^2+x-72)/(x^2-x-56)	$R (x) = \frac{x^{2} + x - 72}{x^{2} - x - 56}$
48615	Find the Domain	square root of (x^2+2)-1	$\sqrt{(x^{2} + 2) - 1}$
48616	Split Using Partial Fraction Decomposition	(37-11)/((x+1)(x^2-5x+6))	$\frac{37 - 11}{(x + 1) (x^{2} - 5 x + 6)}$
48617	Split Using Partial Fraction Decomposition	(3x-1)/(x(x-4)^2)	$\frac{3 x - 1}{x {(x - 4)}^{2}}$
48618	Find the Difference Quotient	square root of x	$\sqrt{x}$
48619	Find the Slope	(10,-2) and (10,5)	$(10, - 2)$ and $(10, 5)$
48620	Solve the Function Operation	f(x)=-3x-4 ; find f(-5)	$f (x) = - 3 x - 4$ ; find $f (- 5)$
48621	Find the Domain	f(x) = square root of (x-1)/(x+1)	$f (x) = \sqrt{\frac{x - 1}{x + 1}}$
48622	Find the Asymptotes	(5x+5)/(-x^2-2x-1)	$\frac{5 x + 5}{- x^{2} - 2 x - 1}$
48623	Find the Domain	f(u)=(u+1)/(1+1/(u+1))	$f (u) = \frac{u + 1}{1 + \frac{1}{u + 1}}$
48624	Find the Domain	log base 3 of square root of x+1=1	$\log_{3} (\sqrt{x} + 1) = 1$
48625	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 $(f + g) (x)$
48626	Solve the Function Operation	(0,2)^3+(0,16)^2	${(0, 2)}^{3} + {(0, 16)}^{2}$
48627	Find the Domain	f(x) = square root of 2+x-x^2	$f (x) = \sqrt{2 + x - x^{2}}$
48628	Find the Asymptotes	f(x)=(x^2+x-6)/(x+3)	$f (x) = \frac{x^{2} + x - 6}{x + 3}$
48629	Solve the Function Operation	h(x)=2x-3 ; find h(6)	$h (x) = 2 x - 3$ ; find $h (6)$
48630	Find the Domain	f(x) = square root of 4-x+ square root of x^2-1	$f (x) = \sqrt{4 - x} + \sqrt{x^{2} - 1}$
48631	Find the Domain	natural log of x+1/(x^2-1)	$\ln (x) + \frac{1}{x^{2} - 1}$
48632	Solve the Function Operation	f(x)=5x-3 ; find f(2)	$f (x) = 5 x - 3$ ; find $f (2)$
48633	Find the Slope	(5/8,-1/2) and (1/4,1/4)	$(\frac{5}{8}, - \frac{1}{2})$ and $(\frac{1}{4}, \frac{1}{4})$
48634	Determine if Odd, Even, or Neither	f(x)=-x^4+x^2+1	$f (x) = - x^{4} + x^{2} + 1$
48635	Find the Vertex	f(x)=12x-2x^2	$f (x) = 12 x - 2 x^{2}$
48636	Find the Domain	y=(3x^2-8x)/(2x^2-5x-3)	$y = \frac{3 x^{2} - 8 x}{2 x^{2} - 5 x - 3}$
48637	Find the Domain	square root of 16-x^2- square root of x+1	$\sqrt{16 - x^{2}} - \sqrt{x + 1}$
48638	Determine if Odd, Even, or Neither	y=8x^12-8x^4+6x+22	$y = 8 x^{12} - 8 x^{4} + 6 x + 22$
48639	Solve the Function Operation	f(x)=-2x+2 ; find f(6)	$f (x) = - 2 x + 2$ ; find $f (6)$
48640	Find the Vertex	y-3=(2-x)^2	$y - 3 = {(2 - x)}^{2}$
48641	Find the GCF	24 and 42	$24$ and $42$
48642	Determine if Odd, Even, or Neither	y=x+2	$y = x + 2$
48643	Solve the Function Operation	f(x)=(x^(1/4))/5 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{4}}}{5}$ ; find $f^{- 1} (x)$
48644	Find the Vertex	y=3/4\|x+3\|-6	$y = \frac{3}{4} \| x + 3 \| - 6$
48645	Find the Domain	f(x)=x/((x-3) square root of x-2)	$f (x) = \frac{x}{(x - 3) \sqrt{x - 2}}$
48646	Solve the Function Operation	f(x)=5x+8 g(x)=x^2+7x-2 Find: f(g(x))	$f (x) = 5 x + 8$ $g (x) = x^{2} + 7 x - 2$ Find: $f (g (x))$
48647	Find the Difference Quotient	F(x)=-3x^2+2	$F (x) = - 3 x^{2} + 2$
48648	Find the Slope	Find the slope of the line passing through the points (-8,-3) and (-3,4)	Find the slope of the line passing through the points $(- 8, - 3)$ and $(- 3, 4)$
48649	Solve the Function Operation	g(x)=-x-4 ; find g(-5)	$g (x) = - x - 4$ ; find $g (- 5)$
48650	Solve the Function Operation	f(x)=-x-5 g(x)=x^2-2x+10 Find: g(f(x))	$f (x) = - x - 5$ $g (x) = x^{2} - 2 x + 10$ Find: $g (f (x))$
48651	Evaluate the Function	h(x)=(1/3)x , h(-3)	$h (x) = (\frac{1}{3}) x$ , $h (- 3)$
48652	Find the Domain	f(x) = fourth root of (x-1)/(2-x)	$f (x) = \sqrt[4]{\frac{x - 1}{2 - x}}$
48653	Find the Asymptotes	F(x)=4+1/x	$F (x) = 4 + \frac{1}{x}$
48654	Find the Domain	f(x,y)=(y^2)/(y+x^2)	$f (x, y) = \frac{y^{2}}{y + x^{2}}$
48655	Determine if Odd, Even, or Neither	f(x) = square root of 2x	$f (x) = \sqrt{2} x$
48656	Find the Asymptotes	f(x) = fifth root of x	$f (x) = \sqrt[5]{x}$
48657	Solve the Function Operation	f(x)=5x+5 ; find f(-4)	$f (x) = 5 x + 5$ ; find $f (- 4)$
48658	Find the Domain	f(x)=(x-3)/(2x^2+x-21)	$f (x) = \frac{x - 3}{2 x^{2} + x - 21}$
48659	Find the GCF	12 and 20	$12$ and $20$
48660	Find the Asymptotes	(x^2-4)/(-x-2)	$\frac{x^{2} - 4}{- x - 2}$
48661	Find the Vertex	9x^2-16y^2-144=0	$9 x^{2} - 16 y^{2} - 144 = 0$
48662	Find the Asymptotes	(4x^2-16)/(-5x+10)	$\frac{4 x^{2} - 16}{- 5 x + 10}$
48663	Find the GCF	8 and 32	$8$ and $32$
48664	Find the Asymptotes	y=((x-4)(x+2))/((x-3)(x-1))	$y = \frac{(x - 4) (x + 2)}{(x - 3) (x - 1)}$
48665	Find the Asymptotes	(3x^2+12x)/(-2x^2+2x)	$\frac{3 x^{2} + 12 x}{- 2 x^{2} + 2 x}$
48666	Find the Asymptotes	f(x)=(1-3x^2)/(x+1)	$f (x) = \frac{1 - 3 x^{2}}{x + 1}$
48667	Find the Asymptotes	f(x)=(3x-6)/(5-2x)	$f (x) = \frac{3 x - 6}{5 - 2 x}$
48668	Find the Domain	square root of 2x+9+ square root of 3-5x	$\sqrt{2 x + 9} + \sqrt{3 - 5 x}$
48669	Find the Domain	R(x)=(x^2)/(x^2+x-56)	$R (x) = \frac{x^{2}}{x^{2} + x - 56}$
48670	Determine if Odd, Even, or Neither	y=3	$y = 3$
48671	Find the GCF	15 and 30	$15$ and $30$
48672	Find the Asymptotes	f(x)=x/(-2x^2+4x)	$f (x) = \frac{x}{- 2 x^{2} + 4 x}$
48673	Find the Domain	f(x)3/(x-2)	$f (x) \frac{3}{x - 2}$
48674	Find the Vertex	F(x)=\|x-2\|	$F (x) = \| x - 2 \|$
48675	Determine if Odd, Even, or Neither	f(x)=1+x^2-6x	$f (x) = 1 + x^{2} - 6 x$
48676	Solve the Function Operation	f(x)=-5^x-4 and g(x)=-3x-2 ; find (f+g)(x)	$f (x) = - 5^{x} - 4$ and $g (x) = - 3 x - 2$ ; find $(f + g) (x)$
48677	Determine if Odd, Even, or Neither	f(x) = cube root of 2x^2+1	$f (x) = \sqrt[3]{2 x^{2} + 1}$
48678	Find the Asymptotes	(x+1)/(-x-1)	$\frac{x + 1}{- x - 1}$
48679	Solve the Function Operation	g(x)=-2x-1 ; find g(1)	$g (x) = - 2 x - 1$ ; find $g (1)$
48680	Determine if Odd, Even, or Neither	f(x)=3x^4+3\|x^3\|-3	$f (x) = 3 x^{4} + 3 \| x^{3} \| - 3$
48681	Find the Domain	1/(x^2-1/25)	$\frac{1}{x^{2} - \frac{1}{25}}$
48682	Find the Vertex	f(x)=1/3\|x\|-7	$f (x) = \frac{1}{3} \| x \| - 7$
48683	Determine if Odd, Even, or Neither	f(x) = square root of 5-x^2	$f (x) = \sqrt{5 - x^{2}}$
48684	Solve the Function Operation	f(x)=(x-6)/6 ; find f^-1(x)	$f (x) = \frac{x - 6}{6}$ ; find $f^{- 1} (x)$
48685	Solve the Function Operation	f(x)=(x-8)/5 ; find f^-1(x)	$f (x) = \frac{x - 8}{5}$ ; find $f^{- 1} (x)$
48686	Find the Asymptotes	(x^3-1)/(x^2-1)	$\frac{x^{3} - 1}{x^{2} - 1}$
48687	Find the Asymptotes	f(x)=(2x+8)/(5x^2+9x-2)	$f (x) = \frac{2 x + 8}{5 x^{2} + 9 x - 2}$
48688	Solve the Function Operation	f(x)=3x^2+x-1 g(x)=-3x+5 Find: g(f(x))	$f (x) = 3 x^{2} + x - 1$ $g (x) = - 3 x + 5$ Find: $g (f (x))$
48689	Find the Asymptotes	f(x)=(x^2-2x+1)/(x^3+x-7)	$f (x) = \frac{x^{2} - 2 x + 1}{x^{3} + x - 7}$
48690	Find the Asymptotes	f(x)=(2x^2-5)/(x^2)	$f (x) = \frac{2 x^{2} - 5}{x^{2}}$
48691	Find the Domain	square root of -x^2+3x-2=4	$\sqrt{- x^{2} + 3 x - 2} = 4$
48692	Find the Slope	(-2,7) and (2,-5)	$(- 2, 7)$ and $(2, - 5)$
48693	Find the Domain	g(t) = square root of 6^t-36	$g (t) = \sqrt{6^{t} - 36}$
48694	Solve the Function Operation	f(x)=x-2 g(x)=2x^2-5x+8 Find: f(g(x))	$f (x) = x - 2$ $g (x) = 2 x^{2} - 5 x + 8$ Find: $f (g (x))$
48695	Find the Slope	(-4,0) and (2,0)	$(- 4, 0)$ and $(2, 0)$
48696	Solve the Function Operation	g(x)=-x-2 ; find g(0)	$g (x) = - x - 2$ ; find $g (0)$
48697	Solve the Function Operation	g(x)=-x-2 ; find g(1)	$g (x) = - x - 2$ ; find $g (1)$
48698	Determine if Odd, Even, or Neither	f(x)=(x^3)/(7x^2)	$f (x) = \frac{x^{3}}{7 x^{2}}$
48699	Find the Slope	(-4,-5) and (4,1)	$(- 4, - 5)$ and $(4, 1)$
48700	Determine if Odd, Even, or Neither	f(x)=1/2x^3-2x	$f (x) = \frac{1}{2} x^{3} - 2 x$