Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47301	Find the Asymptotes	f(x)=(-4x+17)/(3x)	$f (x) = \frac{- 4 x + 17}{3 x}$
47302	Find the Domain	square root of x^2-2x-2+ square root of 2x-3=5	$\sqrt{x^{2} - 2 x - 2} + \sqrt{2 x - 3} = 5$
47303	Determine if Odd, Even, or Neither	f(x)=x^4+x^2+1	$f (x) = x^{4} + x^{2} + 1$
47304	Find the Asymptotes	f(x)=(-2x^2-4x)/(4x+8)	$f (x) = \frac{- 2 x^{2} - 4 x}{4 x + 8}$
47305	Find the GCF	78x^4y^6 , 39x^2y^4 , 84xy^5	$78 x^{4} y^{6}$ , $39 x^{2} y^{4}$ , $84 x y^{5}$
47306	Find the Slope	(-2,-7) and (3,5)	$(- 2, - 7)$ and $(3, 5)$
47307	Find the Asymptotes	(3x^3+x^2+1)/(x^2+2x)	$\frac{3 x^{3} + x^{2} + 1}{x^{2} + 2 x}$
47308	Find the Slope	(-7,-4) and (8,8)	$(- 7, - 4)$ and $(8, 8)$
47309	Find the Average Rate of Change	f(x) = square root of 2x from x_1=2 to x_2=8	$f (x) = \sqrt{2 x}$ from $x_{1} = 2$ to $x_{2} = 8$
47310	Find the Domain	f(x) = square root of (3-x)/(x+2)	$f (x) = \sqrt{\frac{3 - x}{x + 2}}$
47311	Find the Vertex	f(x)=-1/4(x-1)^2+4	$f (x) = - \frac{1}{4} {(x - 1)}^{2} + 4$
47312	Find the Asymptotes	f(x)=(5x^2-5)/(-3x^2-6x+9)	$f (x) = \frac{5 x^{2} - 5}{- 3 x^{2} - 6 x + 9}$
47313	Find the Asymptotes	f(x)=(2x+4)/(-x^2+4)	$f (x) = \frac{2 x + 4}{- x^{2} + 4}$
47314	Find the Asymptotes	f(x)=(5x^2)/(-3x^2-7x)	$f (x) = \frac{5 x^{2}}{- 3 x^{2} - 7 x}$
47315	Find the Domain	f(x)=x/x	$f (x) = \frac{x}{x}$
47316	Find the Asymptotes	f(x)=((x^3+5)(2x-1))/((x^2-4)(x^2+4))	$f (x) = \frac{(x^{3} + 5) (2 x - 1)}{(x^{2} - 4) (x^{2} + 4)}$
47317	Solve the Function Operation	10-10*10+10	$10 - 10 \cdot 10 + 10$
47318	Solve the Function Operation	(f*g)(x)	$(f \cdot g) (x)$
47319	Find the Slope	(-4,7) and (-6,-4)	$(- 4, 7)$ and $(- 6, - 4)$
47320	Find the Domain	f(x)=(x-1)/x	$f (x) = \frac{x - 1}{x}$
47321	Find the Slope	(-6,-5) and (4,4)	$(- 6, - 5)$ and $(4, 4)$
47322	Find the Asymptotes	f(x)=(4x+8)/(x^2+2x)	$f (x) = \frac{4 x + 8}{x^{2} + 2 x}$
47323	Find the Slope	(1,-8) and (-9,-10)	$(1, - 8)$ and $(- 9, - 10)$
47324	Find the Domain	g(x) = log of 4x-x^2	$g (x) = \log (4 x - x^{2})$
47325	Find the Vertex	y=-4\|x+2\|+5	$y = - 4 \| x + 2 \| + 5$
47326	Find the Asymptotes	f(x)=(-x^2+5x)/(2x^2)	$f (x) = \frac{- x^{2} + 5 x}{2 x^{2}}$
47327	Find the Slope	(6,3) and (-6,-3)	$(6, 3)$ and $(- 6, - 3)$
47328	Find the Direction Angle of the Vector	v=-8i+5j	$v = - 8 i + 5 j$
47329	Find the Domain	F(x)=(x^2)/(x+2)	$F (x) = \frac{x^{2}}{x + 2}$
47330	Find the Asymptotes	f(x)=(5x^2-25x)/(-4x^2)	$f (x) = \frac{5 x^{2} - 25 x}{- 4 x^{2}}$
47331	Determine if Odd, Even, or Neither	F(x)=3x^3	$F (x) = 3 x^{3}$
47332	Find the Domain	h(x) = square root of -9/(x-4)	$h (x) = \sqrt{\frac{- 9}{x - 4}}$
47333	Find the Asymptotes	f(x)=(-4x+12)/(2x^2-x-15)	$f (x) = \frac{- 4 x + 12}{2 x^{2} - x - 15}$
47334	Find the Domain	f(x) = square root of (x-1)^2	$f (x) = \sqrt{{(x - 1)}^{2}}$
47335	Find the Domain	f(x)=( square root of x-6)/( square root of x-4)	$f (x) = \frac{\sqrt{x - 6}}{\sqrt{x - 4}}$
47336	Find the Domain	square root of 6-x- square root of 3x-9	$\sqrt{6 - x} - \sqrt{3 x - 9}$
47337	Find the GCF	12 and 18	$12$ and $18$
47338	Find the Slope	(7,-1) and (0,-6)	$(7, - 1)$ and $(0, - 6)$
47339	Find the Asymptotes	f(x)=(x^2+4x)/(2x^2-5x)	$f (x) = \frac{x^{2} + 4 x}{2 x^{2} - 5 x}$
47340	Find the Asymptotes	f(x)=(3x^2+12x)/(-2x^2+2x)	$f (x) = \frac{3 x^{2} + 12 x}{- 2 x^{2} + 2 x}$
47341	Evaluate the Function	[0,2pi)	$[0, 2 π)$
47342	Find the Vertex	y^2-12x+8y=-40	$y^{2} - 12 x + 8 y = - 40$
47343	Find the Asymptotes	F(x)=(2x^2+x+3)/(2x^2+3x+1)	$F (x) = \frac{2 x^{2} + x + 3}{2 x^{2} + 3 x + 1}$
47344	Find the Asymptotes	f(x)=(x^2-7x+12)/(-5x+15)	$f (x) = \frac{x^{2} - 7 x + 12}{- 5 x + 15}$
47345	Find the Asymptotes	(x^3+1)/(3x+6)	$\frac{x^{3} + 1}{3 x + 6}$
47346	Find the Asymptotes	y=((3x+4)(4x-3))/(6x^2+2)	$y = \frac{(3 x + 4) (4 x - 3)}{6 x^{2} + 2}$
47347	Find the Asymptotes	f(x)=(3x-9)/(x-3)	$f (x) = \frac{3 x - 9}{x - 3}$
47348	Find the Asymptotes	f(x)=(4x-8)/(x^2-4x+4)	$f (x) = \frac{4 x - 8}{x^{2} - 4 x + 4}$
47349	Find the Vertex	(x^2)/9-(y^2)/16=1	$\frac{x^{2}}{9} - \frac{y^{2}}{16} = 1$
47350	Find the GCF	108d^2 and 216d	$108 d^{2}$ and $216 d$
47351	Find the Asymptotes	f(x)=(-x-3)/(4x+12)	$f (x) = \frac{- x - 3}{4 x + 12}$
47352	Find the Vertex	y=\|x\|	$y = \| x \|$
47353	Find the Domain	f(x) = square root of 1/3x+2	$f (x) = \sqrt{\frac{1}{3} x + 2}$
47354	Find the Asymptotes	f(x)=(x^2+4x)/(-x-4)	$f (x) = \frac{x^{2} + 4 x}{- x - 4}$
47355	Find the Domain	f(x)=2/x+4/(x+1)	$f (x) = \frac{2}{x} + \frac{4}{x + 1}$
47356	Evaluate the Function	(f+g)(x)	$(f + g) (x)$
47357	Find the Vertex	f(x)=1/2(x-1)^2	$f (x) = \frac{1}{2} {(x - 1)}^{2}$
47358	Find the Asymptotes	f(x)=(x^2+1)/(3(x-8))	$f (x) = \frac{x^{2} + 1}{3 (x - 8)}$
47359	Find the Asymptotes	f(x)=(5x^2)/(2x^2+3x)	$f (x) = \frac{5 x^{2}}{2 x^{2} + 3 x}$
47360	Find the Domain	f(x)=x/( square root of 3-x)	$f (x) = \frac{x}{\sqrt{3 - x}}$
47361	Find the Asymptotes	f(x)=(x+1)/(-x-1)	$f (x) = \frac{x + 1}{- x - 1}$
47362	Find the Asymptotes	f(x)=(4x^2-16)/(-5x+10)	$f (x) = \frac{4 x^{2} - 16}{- 5 x + 10}$
47363	Find the Asymptotes	f(x)=(x^2-5x)/(2x^2+7x)	$f (x) = \frac{x^{2} - 5 x}{2 x^{2} + 7 x}$
47364	Solve the Function Operation	[0,2pi)	$[0, 2 π)$
47365	Find the Asymptotes	f(x)=(3x+4)/(2x^2+3x+1)	$f (x) = \frac{3 x + 4}{2 x^{2} + 3 x + 1}$
47366	Split Using Partial Fraction Decomposition	(x-1)/(x^2(x-2)^3)	$\frac{x - 1}{x^{2} {(x - 2)}^{3}}$
47367	Find the Vertex	(y+5/2)^2=-5(x-9/2)	${(y + \frac{5}{2})}^{2} = - 5 (x - \frac{9}{2})$
47368	Find the Domain	f(x)=1/(2x)	$f (x) = \frac{1}{2 x}$
47369	Find the Domain	f(x)=(2+x)/(x^2-7x)	$f (x) = \frac{2 + x}{x^{2} - 7 x}$
47370	Find the Asymptotes	f(x)=(5x+5)/(-x^2-2x-1)	$f (x) = \frac{5 x + 5}{- x^{2} - 2 x - 1}$
47371	Find the Average Rate of Change	f(x)=5x+7 from x_1=-1 to x_2=0	$f (x) = 5 x + 7$ from $x_{1} = - 1$ to $x_{2} = 0$
47372	Find the Asymptotes	f(x)=(2-x)/((x-3)(x+5))	$f (x) = \frac{2 - x}{(x - 3) (x + 5)}$
47373	Determine if Odd, Even, or Neither	f(x)=\|x^3\|	$f (x) = \| x^{3} \|$
47374	Evaluate the Function	10^4=10 , 0	$10^{4} = 10$ , $0$
47375	Find the Domain	h(x)=( square root of 2x-3)/(x-5)	$h (x) = \frac{\sqrt{2 x - 3}}{x - 5}$
47376	Find the Asymptotes	1/(x-2)+4	$\frac{1}{x - 2} + 4$
47377	Find the Asymptotes	f(x)=(x^2-5x)/(2x^2)	$f (x) = \frac{x^{2} - 5 x}{2 x^{2}}$
47378	Find the Asymptotes	f(x)=((x+2)^2)/(2x(x^2+5x))	$f (x) = \frac{{(x + 2)}^{2}}{2 x (x^{2} + 5 x)}$
47379	Find the Slope	(-5,-2) and (3,-9)	$(- 5, - 2)$ and $(3, - 9)$
47380	Find the Domain	f(a)=(5a)/( square root of 4a-1)	$f (a) = \frac{5 a}{\sqrt{4 a - 1}}$
47381	Find the Asymptotes	f(x)=(2-x)/((x-3)(x+4))	$f (x) = \frac{2 - x}{(x - 3) (x + 4)}$
47382	Determine if Odd, Even, or Neither	G(x) = square root of x	$G (x) = \sqrt{x}$
47383	Find the Domain	x* square root of x	$x \cdot \sqrt{x}$
47384	Solve the Function Operation	(f+g)(2)	$(f + g) (2)$
47385	Find the Slope of a Parallel Line	x+y=5	$x + y = 5$
47386	Find the Domain	f(x)=(2x-5)/(x(x-3))	$f (x) = \frac{2 x - 5}{x (x - 3)}$
47387	Solve the Function Operation	simplify composition of function g(f(x)) for f(x)=-x+1 , g(x)=2x-5	simplify composition of function $g (f (x))$ for $f (x) = - x + 1$ , $g (x) = 2 x - 5$
47388	Determine if Odd, Even, or Neither	f(x)=2^x	$f (x) = 2^{x}$
47389	Find the Slope of a Parallel Line	y=-(3x)/2+4	$y = - \frac{3 x}{2} + 4$
47390	Find the Asymptotes	y=\|x\|	$y = \| x \|$
47391	Find the Slope	(9,8) and (-9,7)	$(9, 8)$ and $(- 9, 7)$
47392	Determine if Odd, Even, or Neither	f(x)=x^3-x^2+4x+2	$f (x) = x^{3} - x^{2} + 4 x + 2$
47393	Find the Domain	h(x)=( square root of x-5)/(2x^2-17x+21)	$h (x) = \frac{\sqrt{x - 5}}{2 x^{2} - 17 x + 21}$
47394	Find the Vertex	y=-4x(x+7)	$y = - 4 x (x + 7)$
47395	Find the Slope	(1,-19) and (-2,-7)	$(1, - 19)$ and $(- 2, - 7)$
47396	Find the Asymptotes	f(x)=(5x^2+20x)/(3x+12)	$f (x) = \frac{5 x^{2} + 20 x}{3 x + 12}$
47397	Find the Asymptotes	f(x)=(x^2-5x)/(-2x^2)	$f (x) = \frac{x^{2} - 5 x}{- 2 x^{2}}$
47398	Find the Asymptotes	f(x)=(3x^2-75)/(x^2-5x)	$f (x) = \frac{3 x^{2} - 75}{x^{2} - 5 x}$
47399	Determine if Odd, Even, or Neither	sec(x)	$\sec (x)$
47400	Find the Domain	g(x)=(8x)/( square root of 2x+6)	$g (x) = \frac{8 x}{\sqrt{2 x + 6}}$