Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48101	Find the Asymptotes	(x^2-25)/(2x^2-17x+35)	$\frac{x^{2} - 25}{2 x^{2} - 17 x + 35}$
48102	Find the Slope	(3,4) and (0,-2)	$(3, 4)$ and $(0, - 2)$
48103	Find the Slope	(-3,4) and (-3,-8)	$(- 3, 4)$ and $(- 3, - 8)$
48104	Determine if Odd, Even, or Neither	f(x)=-4x^6+6+x^4	$f (x) = - 4 x^{6} + 6 + x^{4}$
48105	Find the Asymptotes	f(x)=(x^2+x-6)/(x^2-4)	$f (x) = \frac{x^{2} + x - 6}{x^{2} - 4}$
48106	Solve the Function Operation	r+4>8 , r=2	$r + 4 > 8$ , $r = 2$
48107	Find the Slope	(-3,-3) and (-9,5)	$(- 3, - 3)$ and $(- 9, 5)$
48108	Find the Domain	f(x)=( natural log of x+arctan(x))/(x^2-1)	$f (x) = \frac{\ln (x) + \arctan (x)}{x^{2} - 1}$
48109	Solve the Function Operation	f(x)=x^(1/4)-3 ; find f^-1(x)	$f (x) = x^{\frac{1}{4}} - 3$ ; find $f^{- 1} (x)$
48110	Solve the Function Operation	(f+g)(x)=f(x)+g(x)	$(f + g) (x) = f (x) + g (x)$
48111	Find the Average Rate of Change	h(x)=-2x^2-3x-1	$h (x) = - 2 x^{2} - 3 x - 1$
48112	Find the Slope	(-2,-1) and (2,-3)	$(- 2, - 1)$ and $(2, - 3)$
48113	Solve the Function Operation	g(n)=n^2+4+2n h(n)=-3n+2 Find (g*h)(1)	$g (n) = n^{2} + 4 + 2 n$ $h (n) = - 3 n + 2$ Find $(g \cdot h) (1)$
48114	Find the Slope	(3,5) and (-1,5)	$(3, 5)$ and $(- 1, 5)$
48115	Find the Domain	f(x) = square root of (x-1)/(x^2-5x+6)	$f (x) = \sqrt{\frac{x - 1}{x^{2} - 5 x + 6}}$
48116	Find the Domain	f(x)=( square root of x-3)/( square root of 3-2x)	$f (x) = \frac{\sqrt{x - 3}}{\sqrt{3 - 2 x}}$
48117	Find the Slope	(3,2) and (4,5)	$(3, 2)$ and $(4, 5)$
48118	Determine if Odd, Even, or Neither	f(x)=7x+5x^5-7x^7	$f (x) = 7 x + 5 x^{5} - 7 x^{7}$
48119	Find the Asymptotes	f(x)=(4x^3+9x^2+x-5)/(x^2+3)	$f (x) = \frac{4 x^{3} + 9 x^{2} + x - 5}{x^{2} + 3}$
48120	Find the Slope	(4,-9) and (8,-3)	$(4, - 9)$ and $(8, - 3)$
48121	Find the Asymptotes	y=(2x)/( square root of x^2-1)	$y = \frac{2 x}{\sqrt{x^{2} - 1}}$
48122	Find the Asymptotes	(5x^2)/(2x^2+3x)	$\frac{5 x^{2}}{2 x^{2} + 3 x}$
48123	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 $(f + g) (x)$
48124	Find the Vertex	(x^2)/4-(y^2)/9=1	$\frac{x^{2}}{4} - \frac{y^{2}}{9} = 1$
48125	Find the Domain	f(x)=(1-2x)/(x+4)+(1- square root of 16-x^2)/(\|x-2\|-3)	$f (x) = \frac{1 - 2 x}{x + 4} + \frac{1 - \sqrt{16 - x^{2}}}{\| x - 2 \| - 3}$
48126	Find the Domain	x^2+x+x^2	$x^{2} + x + x^{2}$
48127	Find the Domain	y=( square root of x^2-25)/(3x-24)	$y = \frac{\sqrt{x^{2} - 25}}{3 x - 24}$
48128	Find the Sum of the Infinite Geometric Series	1+1/4+1/16+1/64+...	$1 + \frac{1}{4} + \frac{1}{16} + \frac{1}{64} + \dots$
48129	Use the Rational Roots Test to Find All Possible Roots	F(x)=2x^2-3x+7	$F (x) = 2 x^{2} - 3 x + 7$
48130	Determine if Odd, Even, or Neither	f(x)=x^4+5x^2-x^5	$f (x) = x^{4} + 5 x^{2} - x^{5}$
48131	Find the Slope	(3,-5) and (1,-5)	$(3, - 5)$ and $(1, - 5)$
48132	Find the Vertex	f(x)=\|x+3\|	$f (x) = \| x + 3 \|$
48133	Find the Domain	square root of 8-2x- square root of 5x-12	$\sqrt{8 - 2 x} - \sqrt{5 x - 12}$
48134	Determine if Odd, Even, or Neither	f(x)=9x^3-5x+5x^5	$f (x) = 9 x^{3} - 5 x + 5 x^{5}$
48135	Find the Vertex	y=-0.25x^2+-1.5x+6	$y = - 0.25 x^{2} + - 1.5 x + 6$
48136	Determine if Odd, Even, or Neither	g(x)=5cos(x)-7	$g (x) = 5 \cos (x) - 7$
48137	Find the Domain	f(x,y) = square root of y-x-2	$f (x, y) = \sqrt{y - x - 2}$
48138	Determine if Odd, Even, or Neither	f(x)=8+x^5	$f (x) = 8 + x^{5}$
48139	Find the Sum of the Series	4+9+14+...+64	$4 + 9 + 14 + \dots + 64$
48140	Find the Asymptotes	y=(3x^3-4x+2)/(2x^3+3)	$y = \frac{3 x^{3} - 4 x + 2}{2 x^{3} + 3}$
48141	Find the Slope	(4,-2) and (24,-17)	$(4, - 2)$ and $(24, - 17)$
48142	Find the Domain	R(x)=(x^2)/(x^2-x-2)	$R (x) = \frac{x^{2}}{x^{2} - x - 2}$
48143	Determine if Odd, Even, or Neither	f(x)=7+x+9x^5	$f (x) = 7 + x + 9 x^{5}$
48144	Determine if Odd, Even, or Neither	f(x)=9x+x^3	$f (x) = 9 x + x^{3}$
48145	Find the Asymptotes	f(x)=(x^2-1)/(x^2+x)	$f (x) = \frac{x^{2} - 1}{x^{2} + x}$
48146	Find the Slope	(3/8,-1/2) and (1/4,1/4)	$(\frac{3}{8}, - \frac{1}{2})$ and $(\frac{1}{4}, \frac{1}{4})$
48147	Find the Slope	(5,-2) and (5,7)	$(5, - 2)$ and $(5, 7)$
48148	Find the Domain	f(x) = square root of ((x-6)(x-4))/(x+4)	$f (x) = \sqrt{\frac{(x - 6) (x - 4)}{x + 4}}$
48149	Find the Slope	(-3,4) and (4,1)	$(- 3, 4)$ and $(4, 1)$
48150	Find the Slope	(10,2) and (19,14)	$(10, 2)$ and $(19, 14)$
48151	Solve the Function Operation	f(x)=x^7+3 ; find f^-1(x)	$f (x) = x^{7} + 3$ ; find $f^{- 1} (x)$
48152	Determine if Odd, Even, or Neither	f(x)=-7x^5-5x^7+x^3	$f (x) = - 7 x^{5} - 5 x^{7} + x^{3}$
48153	Determine if Odd, Even, or Neither	f(x)=x^6-6x^4+x^2-3	$f (x) = x^{6} - 6 x^{4} + x^{2} - 3$
48154	Find the Domain	F(x)=(x+4)/(x-2)	$F (x) = \frac{x + 4}{x - 2}$
48155	Find the Slope	(3,-6) and (6,-7)	$(3, - 6)$ and $(6, - 7)$
48156	Find the Slope	(-6,8) and (-16,33)	$(- 6, 8)$ and $(- 16, 33)$
48157	Find the Slope	(4,7) and (5,8)	$(4, 7)$ and $(5, 8)$
48158	Determine if Odd, Even, or Neither	f(x)=1/(\|x\|)	$f (x) = \frac{1}{\| x \|}$
48159	Find the Domain	f(x) = log of 9-x^2	$f (x) = \log (9 - x^{2})$
48160	Find the Slope	(8,4) and (20,-4)	$(8, 4)$ and $(20, - 4)$
48161	Determine if Odd, Even, or Neither	y=1/(4x^2)	$y = \frac{1}{4 x^{2}}$
48162	Find the Asymptotes	y=(4x^2+12x)/(x+7)	$y = \frac{4 x^{2} + 12 x}{x + 7}$
48163	Determine if Odd, Even, or Neither	f(x)=7x^3-4-7x^2	$f (x) = 7 x^{3} - 4 - 7 x^{2}$
48164	Solve the Function Operation	f(x)=x^(1/5)+7 ; find f^-1(x)	$f (x) = x^{\frac{1}{5}} + 7$ ; find $f^{- 1} (x)$
48165	Find the Asymptotes	f(x)=(3x-1)/(2-5x)	$f (x) = \frac{3 x - 1}{2 - 5 x}$
48166	Find the Slope	(-8,3) and (-8,2)	$(- 8, 3)$ and $(- 8, 2)$
48167	Find the Domain	R(x)=(x^2)/(x^2-x-20)	$R (x) = \frac{x^{2}}{x^{2} - x - 20}$
48168	Find the Slope of a Perpendicular Line	y=4x+3/2	$y = 4 x + \frac{3}{2}$
48169	Find the Slope	(1,6) and (8,-1)	$(1, 6)$ and $(8, - 1)$
48170	Find the Slope	(-10,1) and (0,-4)	$(- 10, 1)$ and $(0, - 4)$
48171	Find the Slope	(10,5) and (15,20)	$(10, 5)$ and $(15, 20)$
48172	Determine if Odd, Even, or Neither	f(x)=-x^2-1+x^4	$f (x) = - x^{2} - 1 + x^{4}$
48173	Evaluate the Function	h(t) = square root of x^2+2x+4 , h(2)	$h (t) = \sqrt{x^{2} + 2 x + 4}$ , $h (2)$
48174	Find the Slope	(-5,-7) and (4,-1)	$(- 5, - 7)$ and $(4, - 1)$
48175	Find the Slope	(-2,-1) and (-4,-7)	$(- 2, - 1)$ and $(- 4, - 7)$
48176	Find the Slope	(-12,16) and (-4,-2)	$(- 12, 16)$ and $(- 4, - 2)$
48177	Find the Slope	(-2,3) and (-14,-5)	$(- 2, 3)$ and $(- 14, - 5)$
48178	Determine if Odd, Even, or Neither	f(x)=-6x^4+1-x	$f (x) = - 6 x^{4} + 1 - x$
48179	Determine if Odd, Even, or Neither	f(x)=4x^4-4x^3-x^2	$f (x) = 4 x^{4} - 4 x^{3} - x^{2}$
48180	Find the Slope	(-6,-13) and (3,-1)	$(- 6, - 13)$ and $(3, - 1)$
48181	Find the Asymptotes	r(x)=(x^2)/(x-2)	$r (x) = \frac{x^{2}}{x - 2}$
48182	Find the Vertex	h(t)=-16t^2+128t	$h (t) = - 16 t^{2} + 128 t$
48183	Find the Domain	(x^2+5)/( square root of 1-x)	$\frac{x^{2} + 5}{\sqrt{1 - x}}$
48184	Find the Domain	f(x)=(x-2)/x	$f (x) = \frac{x - 2}{x}$
48185	Find the Domain	G(x)=( square root of x-3)/(x-7)	$G (x) = \frac{\sqrt{x - 3}}{x - 7}$
48186	Determine if Odd, Even, or Neither	f(x)=5x^2-4x^6+x^4	$f (x) = 5 x^{2} - 4 x^{6} + x^{4}$
48187	Find the Asymptotes	(x^2+4x)/(2x^2-5x)	$\frac{x^{2} + 4 x}{2 x^{2} - 5 x}$
48188	Solve the Function Operation	f(x)=x^(1/2)-7 ; find f^-1(x)	$f (x) = x^{\frac{1}{2}} - 7$ ; find $f^{- 1} (x)$
48189	Solve the Function Operation	f(x)=2x-4 ; find f^-1(x)	$f (x) = 2 x - 4$ ; find $f^{- 1} (x)$
48190	Find the Slope	(-3,1) and (7,-14)	$(- 3, 1)$ and $(7, - 14)$
48191	Find the GCF	15 and 45	$15$ and $45$
48192	Find the Slope	(-8,-3) and (-24,1)	$(- 8, - 3)$ and $(- 24, 1)$
48193	Find the Slope	(7,-9) and (15,-29)	$(7, - 9)$ and $(15, - 29)$
48194	Find the Domain	f(x) = cube root of x/(x^2-5x+6)	$f (x) = \sqrt[3]{\frac{x}{x^{2} - 5 x + 6}}$
48195	Find the Slope	(-10,0) and (-13,3)	$(- 10, 0)$ and $(- 13, 3)$
48196	Find the Slope	(-4,-3) and (14,0)	$(- 4, - 3)$ and $(14, 0)$
48197	Find the Slope	(-8,-4) and (4,-4)	$(- 8, - 4)$ and $(4, - 4)$
48198	Determine if Odd, Even, or Neither	f(x)=-x-x^7-2x^5	$f (x) = - x - x^{7} - 2 x^{5}$
48199	Solve the Function Operation	f(w) = square root of 5w-101 ; find f(4)	$f (w) = \sqrt{5 w - 101}$ ; find $f (4)$
48200	Find the Slope	(6,-10) and (3,-13)	$(6, - 10)$ and $(3, - 13)$