Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47201	Find the Asymptotes	f(x)=((x-6)(x+7))/(x^2-4)	$f (x) = \frac{(x - 6) (x + 7)}{x^{2} - 4}$
47202	Find the Asymptotes	f(x)=-(5/8)^(-x)	$f (x) = - {(\frac{5}{8})}^{- x}$
47203	Find the Asymptotes	f(x)=(6x+12)/(x^2+x-12)	$f (x) = \frac{6 x + 12}{x^{2} + x - 12}$
47204	Find the Asymptotes	f(x)=(5x)/(6x^2+6x)	$f (x) = \frac{5 x}{6 x^{2} + 6 x}$
47205	Find the Asymptotes	f(x)=5/x	$f (x) = \frac{5}{x}$
47206	Find the Asymptotes	f(x)=(-4x^2-8x+5)/(2x+1)	$f (x) = \frac{- 4 x^{2} - 8 x + 5}{2 x + 1}$
47207	Find the Asymptotes	f(x)=4/(x-9)	$f (x) = \frac{4}{x - 9}$
47208	Find the Asymptotes	f(x)=(x^2+2x)/(x^2-7x-18)	$f (x) = \frac{x^{2} + 2 x}{x^{2} - 7 x - 18}$
47209	Find the Asymptotes	f(x)=(x^2+4x-5)/(x-5)	$f (x) = \frac{x^{2} + 4 x - 5}{x - 5}$
47210	Find the Asymptotes	f(x)=(x^2+5x-6)/(x-6)	$f (x) = \frac{x^{2} + 5 x - 6}{x - 6}$
47211	Find the Asymptotes	f(x)=(x^2)/(x+5)	$f (x) = \frac{x^{2}}{x + 5}$
47212	Find the Asymptotes	f(x)=(9(x-6))/(x^2-7x+6)	$f (x) = \frac{9 (x - 6)}{x^{2} - 7 x + 6}$
47213	Find the Asymptotes	f(x)=7/(x^2-36)	$f (x) = \frac{7}{x^{2} - 36}$
47214	Find the Asymptotes	f(x)=(x^2)/(4x^3-5)	$f (x) = \frac{x^{2}}{4 x^{3} - 5}$
47215	Find the Maximum/Minimum Value	7cos(x)	$7 \cos (x)$
47216	Find the Asymptotes	f(x)=-(4/5)^(-x)	$f (x) = - {(\frac{4}{5})}^{- x}$
47217	Find the Asymptotes	f(x)=(4/5)^(-x)	$f (x) = {(\frac{4}{5})}^{- x}$
47218	Find the Asymptotes	f(x)=-(5/2)^x	$f (x) = - {(\frac{5}{2})}^{x}$
47219	Find the Asymptotes	f(x)=(1/2)^x-2	$f (x) = {(\frac{1}{2})}^{x} - 2$
47220	Find the Asymptotes	f(x)=((2x+1)(9x-2))/(x^2-49)	$f (x) = \frac{(2 x + 1) (9 x - 2)}{x^{2} - 49}$
47221	Find the Asymptotes	f(x)=(3/5)^(6x)	$f (x) = {(\frac{3}{5})}^{6 x}$
47222	Find the Domain	f(x)=(3x^2)/(x(x-3))	$f (x) = \frac{3 x^{2}}{x (x - 3)}$
47223	Solve the Function Operation	(f+g)(x)	$(f + g) (x)$
47224	Find the Asymptotes	f(x)=(x^2+7x)/(x^3-5x^2-14x)	$f (x) = \frac{x^{2} + 7 x}{x^{3} - 5 x^{2} - 14 x}$
47225	Find the Vertex	Y=x^2+4x+1	$Y = x^{2} + 4 x + 1$
47226	Find the Slope	(-4,-3) and (8,-9)	$(- 4, - 3)$ and $(8, - 9)$
47227	Find the Slope	(-9,-3) and (7,-7)	$(- 9, - 3)$ and $(7, - 7)$
47228	Find the Asymptotes	((x-1)(x-3)^2(x+1)^2)/((x-2)(x+2)(x-1)(x+3))	$\frac{(x - 1) {(x - 3)}^{2} {(x + 1)}^{2}}{(x - 2) (x + 2) (x - 1) (x + 3)}$
47229	Find the Slope	(-9,-6) and (-4,5)	$(- 9, - 6)$ and $(- 4, 5)$
47230	Determine if Odd, Even, or Neither	Determine if f(x)=x^3+7 is even, odd, or neither	Determine if $f (x) = x^{3} + 7$ is even, odd, or neither
47231	Find the Domain	square root of 3-2x+ square root of 1-x	$\sqrt{3 - 2 x} + \sqrt{1 - x}$
47232	Find the Slope	(-8,-3) and (-3,4)	$(- 8, - 3)$ and $(- 3, 4)$
47233	Find the Slope	y=mx+b	$y = m x + b$
47234	Find the Slope	(-7,2) and (9,6)	$(- 7, 2)$ and $(9, 6)$
47235	Determine if Odd, Even, or Neither	f(x)=x^4+x^2	$f (x) = x^{4} + x^{2}$
47236	Find the Slope	(-7,-7) and (-3,6)	$(- 7, - 7)$ and $(- 3, 6)$
47237	Find the Slope	(-5,3) and (7,9)	$(- 5, 3)$ and $(7, 9)$
47238	Find the Slope	(-3,3) and (5,9)	$(- 3, 3)$ and $(5, 9)$
47239	Find the Slope	(3,4) and (8,-3)	$(3, 4)$ and $(8, - 3)$
47240	Find the Domain	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
47241	Find the Slope	(3,8) and (7,-7)	$(3, 8)$ and $(7, - 7)$
47242	Find the Slope	(2,5) and (8,-4)	$(2, 5)$ and $(8, - 4)$
47243	Find the Asymptotes	(-2x(x+3)^2(x+2))/(3x(x+2)(x+3)^2)	$\frac{- 2 x {(x + 3)}^{2} (x + 2)}{3 x (x + 2) {(x + 3)}^{2}}$
47244	Find the Asymptotes	((2x-1)(x+4)^2(x-1)(3x+2))/(3x(x-4)(2x-1)^3)	$\frac{(2 x - 1) {(x + 4)}^{2} (x - 1) (3 x + 2)}{3 x (x - 4) {(2 x - 1)}^{3}}$
47245	Find the Asymptotes	(4(x+2)(x+1)(3x+4)(2x-3))/(3(x-2)(x^2-1)(2x-3)(x+2)^4)	$\frac{4 (x + 2) (x + 1) (3 x + 4) (2 x - 3)}{3 (x - 2) (x^{2} - 1) (2 x - 3) {(x + 2)}^{4}}$
47246	Find the Domain	g(x)=(x+6)/2	$g (x) = \frac{x + 6}{2}$
47247	Find the Vertex	y=\|x+2\|	$y = \| x + 2 \|$
47248	Find the Vertex	y=\|9x-3\|	$y = \| 9 x - 3 \|$
47249	Find the Slope	(2,4) and (6,12)	$(2, 4)$ and $(6, 12)$
47250	Find the Asymptotes	((x+4)(x-1)(x-2))/((x-2)^2(x+4)(x+1))	$\frac{(x + 4) (x - 1) (x - 2)}{{(x - 2)}^{2} (x + 4) (x + 1)}$
47251	Find the Average Rate of Change	y=x-9 , (0,-9) , (7,-2)	$y = x - 9$ , $(0, - 9)$ , $(7, - 2)$
47252	Find the Domain	square root of 2x+2+ square root of 6-4x	$\sqrt{2 x + 2} + \sqrt{6 - 4 x}$
47253	Find the Average Rate of Change	y=3x-5 , (4,7) , (1,-2)	$y = 3 x - 5$ , $(4, 7)$ , $(1, - 2)$
47254	Find the Average Rate of Change	y=2x-2 , [-2,7]	$y = 2 x - 2$ , $[- 2, 7]$
47255	Find the Average Rate of Change	y = square root of x , [1,4]	$y = \sqrt{x}$ , $[1, 4]$
47256	Find the Average Rate of Change	y=9-5x , (1,4) , (-1,14)	$y = 9 - 5 x$ , $(1, 4)$ , $(- 1, 14)$
47257	Find the Asymptotes	(-3(x-2)(x+7))/(x^2+5x)	$\frac{- 3 (x - 2) (x + 7)}{x^{2} + 5 x}$
47258	Find the Average Rate of Change	f(x)=4x-2 , (1,2) , (0,-2)	$f (x) = 4 x - 2$ , $(1, 2)$ , $(0, - 2)$
47259	Find the Average Rate of Change	y=6x^3 , (1,6) , (0,0)	$y = 6 x^{3}$ , $(1, 6)$ , $(0, 0)$
47260	Find the Average Rate of Change	y=3x+4 , [2,3]	$y = 3 x + 4$ , $[2, 3]$
47261	Find the Domain	F(x)=(x-2)/(x^3+x)	$F (x) = \frac{x - 2}{x^{3} + x}$
47262	Solve the Function Operation	2+5(8-5)	$2 + 5 (8 - 5)$
47263	Find the Domain	square root of x-3+ square root of x+1=3/(5-x)	$\sqrt{x - 3} + \sqrt{x + 1} = \frac{3}{5 - x}$
47264	Determine if Proper or Improper	g(x)=(12x^3+7x^2-1)/(x^2+x)	$g (x) = \frac{12 x^{3} + 7 x^{2} - 1}{x^{2} + x}$
47265	Find the Average Rate of Change	y-2=3x , (0,2) , (2,8)	$y - 2 = 3 x$ , $(0, 2)$ , $(2, 8)$
47266	Find the Domain	g(x) = log of 16x-x^2	$g (x) = \log (16 x - x^{2})$
47267	Find the Asymptotes	f(x)=(x^3+5)/(x^5+2)	$f (x) = \frac{x^{3} + 5}{x^{5} + 2}$
47268	Solve the Function Operation	6÷2(1+2)	$6 \div 2 (1 + 2)$
47269	Find the Asymptotes	f(x)=((x+2)(x+1)^3)/((x+2)(x-3)^2)	$f (x) = \frac{(x + 2) {(x + 1)}^{3}}{(x + 2) {(x - 3)}^{2}}$
47270	Find the Asymptotes	f(x)=(9x^3+3x^2-2x)/(9x^2+3x-2)	$f (x) = \frac{9 x^{3} + 3 x^{2} - 2 x}{9 x^{2} + 3 x - 2}$
47271	Solve the Function Operation	(f-g)(x)	$(f - g) (x)$
47272	Solve the Function Operation	f(x)=-x-2 , g(x)=2 ; solve the function operation (f+g)(x)	$f (x) = - x - 2$ , $g (x) = 2$ ; solve the function operation $(f + g) (x)$
47273	Determine if Proper or Improper	g(x)=(x^3-x^2-17x)/(20x^4+3x^2-5x)	$g (x) = \frac{x^{3} - x^{2} - 17 x}{20 x^{4} + 3 x^{2} - 5 x}$
47274	Determine if Odd, Even, or Neither	y=x	$y = x$
47275	Find the Slope	(-3,7) and (2,-6)	$(- 3, 7)$ and $(2, - 6)$
47276	Find the Domain	f(x) = square root of (x+3)^2	$f (x) = \sqrt{{(x + 3)}^{2}}$
47277	Find the Slope	(-6,6) and (4,-7)	$(- 6, 6)$ and $(4, - 7)$
47278	Find the Slope	(-4,6) and (3,-8)	$(- 4, 6)$ and $(3, - 8)$
47279	Find the Average Rate of Change	f(x)=-3x^2-x from x_1=5 to x_2=6	$f (x) = - 3 x^{2} - x$ from $x_{1} = 5$ to $x_{2} = 6$
47280	Find the Slope	(-4,7) and (2,-8)	$(- 4, 7)$ and $(2, - 8)$
47281	Find the Slope of a Perpendicular Line	y=-(5x)/6+6	$y = - \frac{5 x}{6} + 6$
47282	Find the Slope	(10,1) and (5,2)	$(10, 1)$ and $(5, 2)$
47283	Find the Slope	(-7,8) and (5,-7)	$(- 7, 8)$ and $(5, - 7)$
47284	Find the Domain	square root of x- square root of 3x-1	$\sqrt{x} - \sqrt{3 x - 1}$
47285	Find the Asymptotes	f(x)=(4x^2-16)/(5x^2+15x+10)	$f (x) = \frac{4 x^{2} - 16}{5 x^{2} + 15 x + 10}$
47286	Find the Asymptotes	f(x)=(x^2-25)/(2x^2-17x+35)	$f (x) = \frac{x^{2} - 25}{2 x^{2} - 17 x + 35}$
47287	Find the Domain	f(x)=((x+2)(x+1)^3)/((x+2)(x-3)^2)	$f (x) = \frac{(x + 2) {(x + 1)}^{3}}{(x + 2) {(x - 3)}^{2}}$
47288	Find the Domain	f(x)=(x^2+5)/( square root of x^2-1)	$f (x) = \frac{x^{2} + 5}{\sqrt{x^{2} - 1}}$
47289	Find the Asymptotes	f(x)=(x+5)/(3x^2)	$f (x) = \frac{x + 5}{3 x^{2}}$
47290	Solve the Function Operation	ax-b=c , a!=0	$a x - b = c$ , $a \neq 0$
47291	Solve the Function Operation	1/(2q)+1/(3q)=5 if q!=0	$\frac{1}{2 q} + \frac{1}{3 q} = 5$ if $q \neq 0$
47292	Find the Domain	g(z) = fifth root of -7z^2-15	$g (z) = \sqrt[5]{- 7 z^{2} - 15}$
47293	Find the Slope	(-3,-8) and (4,6)	$(- 3, - 8)$ and $(4, 6)$
47294	Find the Asymptotes	f(x)=(-3x^2+3x)/(5x^2-30x+25)	$f (x) = \frac{- 3 x^{2} + 3 x}{5 x^{2} - 30 x + 25}$
47295	Find the Slope	(-3,-8) and (5,6)	$(- 3, - 8)$ and $(5, 6)$
47296	Find the GCF	207c^3 and 108c^2	$207 c^{3}$ and $108 c^{2}$
47297	Find the Asymptotes	f(x)=(2x)/(3-x)	$f (x) = \frac{2 x}{3 - x}$
47298	Find the Asymptotes	f(x)=(5x+10)/(x^2+2x)	$f (x) = \frac{5 x + 10}{x^{2} + 2 x}$
47299	Find the Asymptotes	r(x)=(3x^2+6)/(x^2-2x-3)	$r (x) = \frac{3 x^{2} + 6}{x^{2} - 2 x - 3}$
47300	Find the Slope	(-4,-4) and (2,5)	$(- 4, - 4)$ and $(2, 5)$