Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48001	Find the Asymptotes	f(x)=(2x^2-5x-12)/(x^2-16)	$f (x) = \frac{2 x^{2} - 5 x - 12}{x^{2} - 16}$
48002	Determine if Odd, Even, or Neither	m(x)=10sin(0.25x)	$m (x) = 10 \sin (0.25 x)$
48003	Find the GCF	28d^3 , 32d^3 ; and 20d^4	$28 d^{3}$ , $32 d^{3}$ ; and $20 d^{4}$
48004	Find the GCF	8x and 40y	$8 x$ and $40 y$
48005	Find the Slope	(-7,-8) and (0,4)	$(- 7, - 8)$ and $(0, 4)$
48006	Find the Asymptotes	F(x)=1/(x(x+6)(x-1))	$F (x) = \frac{1}{x (x + 6) (x - 1)}$
48007	Solve the Function Operation	pi=3 , 14	$π = 3$ , $14$
48008	Find the Slope	(4,2) and (-16,-10)	$(4, 2)$ and $(- 16, - 10)$
48009	Find the Domain	square root of 2x-x^2	$\sqrt{2 x - x^{2}}$
48010	Find the Domain	f(x) = square root of 2/(x-1)	$f (x) = \sqrt{\frac{2}{x - 1}}$
48011	Find the Asymptotes	F(x)=1/(7(x+2)(x+3))	$F (x) = \frac{1}{7 (x + 2) (x + 3)}$
48012	Find the Domain	f(x)=(x^2-20)/( square root of 4-x)	$f (x) = \frac{x^{2} - 20}{\sqrt{4 - x}}$
48013	Find the Slope	(9,5) and (21,1)	$(9, 5)$ and $(21, 1)$
48014	Find the Average Rate of Change	f(x)=x^2	$f (x) = x^{2}$
48015	Find the Asymptotes	f(x) = log base b of x	$f (x) = \log_{b} (x)$
48016	Find the Slope	(-9,2) and (1,27)	$(- 9, 2)$ and $(1, 27)$
48017	Find the Slope	(5,2) and (6,4)	$(5, 2)$ and $(6, 4)$
48018	Find the Asymptotes	f(x)=(x^2-2x-15)/(x^3-5x^2+x-5)	$f (x) = \frac{x^{2} - 2 x - 15}{x^{3} - 5 x^{2} + x - 5}$
48019	Find the GCF	2^5511 and 2^35^27	$2^{5} \cdot 5 \cdot 11$ and $2^{3} \cdot 5^{2} \cdot 7$
48020	Find the Domain	F(x) = square root of x^2	$F (x) = \sqrt{x^{2}}$
48021	Find the Asymptotes	y=((x+3)(x-4))/((3x+1)(2x-3))	$y = \frac{(x + 3) (x - 4)}{(3 x + 1) (2 x - 3)}$
48022	Find the Vertex	f(x)=\|x\|+3	$f (x) = \| x \| + 3$
48023	Determine if Odd, Even, or Neither	f(x)=-7x^6-8-x^2	$f (x) = - 7 x^{6} - 8 - x^{2}$
48024	Determine if Odd, Even, or Neither	f(x)=x+9x^7	$f (x) = x + 9 x^{7}$
48025	Determine if Odd, Even, or Neither	f(x)=-1+2x-x^2	$f (x) = - 1 + 2 x - x^{2}$
48026	Determine if Odd, Even, or Neither	x	$x$
48027	Find the Vertex	4x^2+y^2-8x+4y-8=0	$4 x^{2} + y^{2} - 8 x + 4 y - 8 = 0$
48028	Find the Asymptotes	f(x)=((x+a)(x+b))/(x^2+ax)	$f (x) = \frac{(x + a) (x + b)}{x^{2} + a x}$
48029	Find the GCF	18 and 42	$18$ and $42$
48030	Find the Slope	(-3,-9) and (22,-4)	$(- 3, - 9)$ and $(22, - 4)$
48031	Find the GCF	28 and 36	$28$ and $36$
48032	Find the Slope	(-9,8) and (-21,10)	$(- 9, 8)$ and $(- 21, 10)$
48033	Find the Slope	(2,1) and (17,-17)	$(2, 1)$ and $(17, - 17)$
48034	Find the Asymptotes	f(x)=(x^2+x-2)/(2x^2-2)	$f (x) = \frac{x^{2} + x - 2}{2 x^{2} - 2}$
48035	Find the Asymptotes	(4x^2-16)/(5x^2+15x+10)	$\frac{4 x^{2} - 16}{5 x^{2} + 15 x + 10}$
48036	Find the Slope	(15,7) and (3,-2)	$(15, 7)$ and $(3, - 2)$
48037	Find the Slope	(2,-3) and (2,13)	$(2, - 3)$ and $(2, 13)$
48038	Solve the Function Operation	f(x) = cube root of x+5 ; find f^-1(x)	$f (x) = \sqrt[3]{x} + 5$ ; find $f^{- 1} (x)$
48039	Find the Slope	(4,4) and (10,7)	$(4, 4)$ and $(10, 7)$
48040	Find the Domain	f(x)=1/(x+5)-1	$f (x) = \frac{1}{x + 5} - 1$
48041	Determine if Odd, Even, or Neither	f(x)=-x-x^7+x^3	$f (x) = - x - x^{7} + x^{3}$
48042	Find the Domain	square root of 2/(x-1)	$\sqrt{\frac{2}{x - 1}}$
48043	Find the Domain	f(x)=3/(x-3)+( square root of 4-x^2-1)/(1-\|x-2\|)	$f (x) = \frac{3}{x - 3} + \frac{\sqrt{4 - x^{2}} - 1}{1 - \| x - 2 \|}$
48044	Solve the Function Operation	f(x) = fourth root of x+4 ; find f^-1(x)	$f (x) = \sqrt[4]{x} + 4$ ; find $f^{- 1} (x)$
48045	Determine if Odd, Even, or Neither	f(x)=x^3+1/x	$f (x) = x^{3} + \frac{1}{x}$
48046	Find the Domain	f(x) = square root of \|x\|	$f (x) = \sqrt{\| x \|}$
48047	Find the Domain	f(x)=(x-4)/( square root of 6-x)	$f (x) = \frac{x - 4}{\sqrt{6 - x}}$
48048	Find the Vertex	f(x)=1/4(x-1)(x+7)	$f (x) = \frac{1}{4} (x - 1) (x + 7)$
48049	Find the Asymptotes	h(x)=((x-1)(x-5))/((2x)(x-4))	$h (x) = \frac{(x - 1) (x - 5)}{(2 x) (x - 4)}$
48050	Determine if Odd, Even, or Neither	g(x)=4 square root of x	$g (x) = 4 \sqrt{x}$
48051	Find the GCF	15x^2y^3 and -18x^3yz	$15 x^{2} y^{3}$ and $- 18 x^{3} y z$
48052	Find the Asymptotes	5/(3x+2)	$\frac{5}{3 x + 2}$
48053	Determine if Odd, Even, or Neither	f(x)=-5x+9x^7	$f (x) = - 5 x + 9 x^{7}$
48054	Find the Domain	f(x) = square root of 2x^2+5x-12	$f (x) = \sqrt{2 x^{2} + 5 x - 12}$
48055	Find the Sum of the Series	1+3+5+7+...+101	$1 + 3 + 5 + 7 + \dots + 101$
48056	Find the Slope	(-3,-4) and (7,6)	$(- 3, - 4)$ and $(7, 6)$
48057	Find the Slope	(-8,-6) and (-18,6)	$(- 8, - 6)$ and $(- 18, 6)$
48058	Find the Domain	f(x)=x/(x+10)+ square root of x^2+6x-7	$f (x) = \frac{x}{x + 10} + \sqrt{x^{2} + 6 x - 7}$
48059	Find the GCF	15a^2b^3c , 24ab^2x , 36b^4x^2	$15 a^{2} b^{3} c$ , $24 a b^{2} x$ , $36 b^{4} x^{2}$
48060	Find the Slope	(-3,3) and (-3,13)	$(- 3, 3)$ and $(- 3, 13)$
48061	Find the Slope	(-7,-7) and (-7,1)	$(- 7, - 7)$ and $(- 7, 1)$
48062	Find the Slope	(4,-2) and (-5,2)	$(4, - 2)$ and $(- 5, 2)$
48063	Find the Slope	(-1,6) and (0,2)	$(- 1, 6)$ and $(0, 2)$
48064	Find the Domain	f(x)=( square root of x+1)/(x^2-4)	$f (x) = \frac{\sqrt{x + 1}}{x^{2} - 4}$
48065	Find the Slope	(-7,8) and (-7,5)	$(- 7, 8)$ and $(- 7, 5)$
48066	Find the Domain	g(x)=(2x)/((x+4)(x-9))	$g (x) = \frac{2 x}{(x + 4) (x - 9)}$
48067	Find the Slope	(3,4) and (4,7)	$(3, 4)$ and $(4, 7)$
48068	Find the Slope	(1,2) and (3,4)	$(1, 2)$ and $(3, 4)$
48069	Find the Slope	(8,2) and (9,4)	$(8, 2)$ and $(9, 4)$
48070	Find the Domain	cube root of cube root of x	$\sqrt[3]{\sqrt[3]{x}}$
48071	Find the Domain	y=( square root of x^2-36)/(2x-8)	$y = \frac{\sqrt{x^{2} - 36}}{2 x - 8}$
48072	Find the Slope	(-3,-4) and (6,-7)	$(- 3, - 4)$ and $(6, - 7)$
48073	Find the Slope	(8,8) and (20,-2)	$(8, 8)$ and $(20, - 2)$
48074	Determine if Odd, Even, or Neither	f(x)=x^3+3x^2-x-3	$f (x) = x^{3} + 3 x^{2} - x - 3$
48075	Find the Slope	(-6,-8) and (-14,4)	$(- 6, - 8)$ and $(- 14, 4)$
48076	Solve the Function Operation	x^3+2x^2-5x-6=0 given that 2 is a zero of f(x)=x^3+2x^2-5x-6	$x^{3} + 2 x^{2} - 5 x - 6 = 0$ given that $2$ is a zero of $f (x) = x^{3} + 2 x^{2} - 5 x - 6$
48077	Find the Slope	(4,-1) and (8,0)	$(4, - 1)$ and $(8, 0)$
48078	Find the Vertex	y=-(2x^2-4x-1)	$y = - (2 x^{2} - 4 x - 1)$
48079	Find the Slope	(10,3) and (2,3)	$(10, 3)$ and $(2, 3)$
48080	Find the Vertex	x=-1/4(y+2)^2	$x = - \frac{1}{4} {(y + 2)}^{2}$
48081	Find the Asymptotes	T(t)=(4t)/(t^2+1)	$T (t) = \frac{4 t}{t^{2} + 1}$
48082	Find the Asymptotes	f(x)=x/(2x^2+5x-3)	$f (x) = \frac{x}{2 x^{2} + 5 x - 3}$
48083	Determine if Odd, Even, or Neither	f(x)=x^5-2x^3+x	$f (x) = x^{5} - 2 x^{3} + x$
48084	Split Using Partial Fraction Decomposition	(6x^2-8x+3)/((1-x)^3)	$\frac{6 x^{2} - 8 x + 3}{{(1 - x)}^{3}}$
48085	Find the Domain	square root of (x+4)/(x-3)	$\sqrt{\frac{x + 4}{x - 3}}$
48086	Find the Slope	(-5,0) and (7,8)	$(- 5, 0)$ and $(7, 8)$
48087	Solve the Function Operation	f(x)=4^x-8 and g(x)=5x+6 ; find (f-g)(x)	$f (x) = 4^{x} - 8$ and $g (x) = 5 x + 6$ ; find $(f - g) (x)$
48088	Find the Domain	f(x)=(4-x^2)/(x^2-x-6)	$f (x) = \frac{4 - x^{2}}{x^{2} - x - 6}$
48089	Solve the Function Operation	f(x)=3^x+10 and g(x)=2x-4 ; find (f+g)(x)	$f (x) = 3^{x} + 10$ and $g (x) = 2 x - 4$ ; find $(f + g) (x)$
48090	Find the Slope	(2,0) and (32,-5)	$(2, 0)$ and $(32, - 5)$
48091	Find the Slope	(0,7) and (8,7)	$(0, 7)$ and $(8, 7)$
48092	Find the Vertex	10+5x=-(1-y)^2	$10 + 5 x = - {(1 - y)}^{2}$
48093	Determine if Odd, Even, or Neither	f(x)=1/( cube root of x)	$f (x) = \frac{1}{\sqrt[3]{x}}$
48094	Solve the Function Operation	f(x)=x^(1/3)-9 ; find f^-1(x)	$f (x) = x^{\frac{1}{3}} - 9$ ; find $f^{- 1} (x)$
48095	Find the Slope	(-2,-5) and (18,-5)	$(- 2, - 5)$ and $(18, - 5)$
48096	Find the Asymptotes	f(x)=(x^2-x)/(2x^2+4)	$f (x) = \frac{x^{2} - x}{2 x^{2} + 4}$
48097	Find the Sum of the Series	81+27+9+...+1/81	$81 + 27 + 9 + \dots + \frac{1}{81}$
48098	Determine if Odd, Even, or Neither	f(x)=1-x^4+x^2	$f (x) = 1 - x^{4} + x^{2}$
48099	Find the Domain	square root of 4x-x^2	$\sqrt{4 x - x^{2}}$
48100	Determine if Odd, Even, or Neither	f(x)=6x^2-9-8x^4	$f (x) = 6 x^{2} - 9 - 8 x^{4}$