Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49301	Find the Asymptotes	f(x)=cot(1/2x-pi)	$f (x) = \cot (\frac{1}{2} x - π)$
49302	Determine if Odd, Even, or Neither	f(x)=x^3+x^7-x^9	$f (x) = x^{3} + x^{7} - x^{9}$
49303	Find the Domain	4x=-3y+xy	$4 x = - 3 y + x y$
49304	Find the Domain	g(x)=5/(x-6.2)+(2-x)/(2.8+x)	$g (x) = \frac{5}{x - 6.2} + \frac{2 - x}{2.8 + x}$
49305	Find the Domain	f(x)=(X+3)/(X-4)	$f (x) = \frac{X + 3}{X - 4}$
49306	Find the Asymptotes	f(x)=2tan(x-pi/2)	$f (x) = 2 \tan (x - \frac{π}{2})$
49307	Solve the Function Operation	Given that f(x)=x^2+5x+6 and g(x)=x+2 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 5 x + 6$ and $g (x) = x + 2$ ; find $(f \cdot g) (x)$ and express the result in standard form.
49308	Solve the Function Operation	6 (2x-5)=-(x+4)	$6$ $(2 x - 5) = - (x + 4)$
49309	Find the GCF	12ab and 12	$12 a b$ and $12$
49310	Solve the Function Operation	f(x) = square root of x+9 ; find f^-1(x)	$f (x) = \sqrt{x + 9}$ ; find $f^{- 1} (x)$
49311	Solve the Function Operation	f(x)=2x^2-7x+6 g(x)=4x+10 Find: g(f(x))	$f (x) = 2 x^{2} - 7 x + 6$ $g (x) = 4 x + 10$ Find: $g (f (x))$
49312	Solve the Function Operation	f(x)=x^2+1 g(x)=2x-5 Find f(x)-g(x)	$f (x) = x^{2} + 1$ $g (x) = 2 x - 5$ Find $f (x) - g (x)$
49313	Find the Domain	y=(2x-1)/(2-x)	$y = \frac{2 x - 1}{2 - x}$
49314	Find the Domain	(2y)/(9+y^2)	$\frac{2 y}{9 + y^{2}}$
49315	Find the Domain	x/(x+1)+(x+1)/(x+2)=1	$\frac{x}{x + 1} + \frac{x + 1}{x + 2} = 1$
49316	Solve the Function Operation	x=-1 , 3 , 4	$x = - 1$ , $3$ , $4$
49317	Find the Asymptotes	g(x)=(3x^2)/(x^2+2x+1)	$g (x) = \frac{3 x^{2}}{x^{2} + 2 x + 1}$
49318	Find the Asymptotes	(7+3e^(3x))/(4-8e^(3x))	$\frac{7 + 3 e^{3 x}}{4 - 8 e^{3 x}}$
49319	Find the Asymptotes	f(x)=(x^3+3x^2)/(x^2+2x-3)	$f (x) = \frac{x^{3} + 3 x^{2}}{x^{2} + 2 x - 3}$
49320	Find the Domain	(2t(t+1))/(t-1)-(3+t)/(t-1)	$\frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
49321	Solve the Function Operation	Given that f(x)=x^2-12x+32 and g(x)=x-4 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 12 x + 32$ and $g (x) = x - 4$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
49322	Solve the Function Operation	Given f(x)=8x^3 and g(x)=3x^2 ; find (f*g)(x)	Given $f (x) = 8 x^{3}$ and $g (x) = 3 x^{2}$ ; find $(f \cdot g) (x)$
49323	Find the Asymptotes	f(x)=(x^2-7x)/(x-7)	$f (x) = \frac{x^{2} - 7 x}{x - 7}$
49324	Solve the Function Operation	f(x)=5x-15 g(x)=2x^2+4x-3 Find: f(g(x))	$f (x) = 5 x - 15$ $g (x) = 2 x^{2} + 4 x - 3$ Find: $f (g (x))$
49325	Solve the Function Operation	f(x)=-(x+1)^2-3 if x<=0; -6 if x>=4 Find f(-2)	$f (x) = {\begin{cases} - {(x + 1)}^{2} - 3 & x \leq 0 \\ - 6 & x \geq 4 \end{cases}$ Find $f (- 2)$
49326	Solve the Function Operation	f(7) if f(x)=5x	$f (7)$ if $f (x) = 5 x$
49327	Solve the Function Operation	7 : x=2 : 3	$7$ : $x = 2$ : $3$
49328	Solve the Function Operation	f(x)=x^2+7x-1 g(x)=-3x-7 Find: (fog)(x)	$f (x) = x^{2} + 7 x - 1$ $g (x) = - 3 x - 7$ Find: $((f \circ g)) (x)$
49329	Solve the Function Operation	Given f(x)=2x and g(x)=x^2+3 ; find f(g(x))	Given $f (x) = 2 x$ and $g (x) = x^{2} + 3$ ; find $f (g (x))$
49330	Find the Domain	f(x)=1/5\|x\|	$f (x) = \frac{1}{5} \| x \|$
49331	Solve the Function Operation	Given that f(x)=x^2-3x-40 and g(x)=x+5 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 3 x - 40$ and $g (x) = x + 5$ ; find $(f + g) (x)$ and express the result in standard form.
49332	Solve the Function Operation	f(x)=8x^3 ; find f^-1(x)	$f (x) = 8 x^{3}$ ; find $f^{- 1} (x)$
49333	Solve the Function Operation	Given g(x)=3x+3 ; find g(6)	Given $g (x) = 3 x + 3$ ; find $g (6)$
49334	Solve the Function Operation	f(x)=-(x+1)^2-4 if x<1; x-7 if 1<=x<=6; 4 if x>6 Find f(7)	$f (x) = {\begin{cases} - {(x + 1)}^{2} - 4 & x < 1 \\ x - 7 & 1 \leq x \leq 6 \\ 4 & x > 6 \end{cases}$ Find $f (7)$
49335	Find the Sum of the Infinite Geometric Series	1-2/3+4/9-8/27+...	$1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27} + \dots$
49336	Determine if Odd, Even, or Neither	x^4+x^2	$x^{4} + x^{2}$
49337	Find the Asymptotes	y=(x^4+3)/(x^4+2x^2-3)	$y = \frac{x^{4} + 3}{x^{4} + 2 x^{2} - 3}$
49338	Solve the Function Operation	f(x)=5x+1 g(x)=x^2-3x+12 Find: (fog)(x)	$f (x) = 5 x + 1$ $g (x) = x^{2} - 3 x + 12$ Find: $((f \circ g)) (x)$
49339	Find the Asymptotes	(x^2+x)/(-5x-5)	$\frac{x^{2} + x}{- 5 x - 5}$
49340	Solve the Function Operation	f(x)=(x-1)^2-4 if x<2; -x-2 if 2<=x<=7; 2x-11 if x>7 Find f(6)	$f (x) = {\begin{cases} {(x - 1)}^{2} - 4 & x < 2 \\ - x - 2 & 2 \leq x \leq 7 \\ 2 x - 11 & x > 7 \end{cases}$ Find $f (6)$
49341	Find the Domain	(x^2+9y^2)/(x-3y)+(6xy)/(3y-x)	$\frac{x^{2} + 9 y^{2}}{x - 3 y} + \frac{6 x y}{3 y - x}$
49342	Find the Domain	R(x)=(x^2-9)/(x^4-16)	$R (x) = \frac{x^{2} - 9}{x^{4} - 16}$
49343	Find the Domain	( square root of x+1-2)/(x-3)	$\frac{\sqrt{x + 1} - 2}{x - 3}$
49344	Find the Asymptotes	f(x)=2* log base 1/4 of x	$f (x) = 2 \cdot \log_{\frac{1}{4}} (x)$
49345	Solve the Function Operation	f(x)=x+10 g(x)=x^2+2x-7 Find: (fog)(x)	$f (x) = x + 10$ $g (x) = x^{2} + 2 x - 7$ Find: $((f \circ g)) (x)$
49346	Solve the Function Operation	f(x)=3x+6 g(x)=3x^2-3x+9 Find: f(g(x))	$f (x) = 3 x + 6$ $g (x) = 3 x^{2} - 3 x + 9$ Find: $f (g (x))$
49347	Solve the Function Operation	f(x)=6(x-3) ; find f^-1(x)	$f (x) = 6 (x - 3)$ ; find $f^{- 1} (x)$
49348	Find the GCF	27y^3z and 45x^2y	$27 y^{3} z$ and $45 x^{2} y$
49349	Find the Asymptotes	(x+3)/(2x^2-98)	$\frac{x + 3}{2 x^{2} - 98}$
49350	Solve the Function Operation	let f(x)=-5x-4 and g(x)=6x-7 find f(x)+g(x)	let $f (x) = - 5 x - 4$ and $g (x) = 6 x - 7$ find $f (x) + g (x)$
49351	Find the GCF	12x and 3	$12 x$ and $3$
49352	Find the Asymptotes	f(x)=((x+1)(x-1))/(x+2)	$f (x) = \frac{(x + 1) (x - 1)}{x + 2}$
49353	Find the Domain	2/x+(x-1)/(x-5)	$\frac{2}{x} + \frac{x - 1}{x - 5}$
49354	Solve the Function Operation	9x-7i>3 (3x-7u)	$9 x - 7 i > 3$ $(3 x - 7 u)$
49355	Solve the Function Operation	f(x)=5x-12 What is f(-4)	$f (x) = 5 x - 12$ What is $f (- 4)$
49356	Find the Domain	(3(2a-b))/(a(2a+b))	$\frac{3 (2 a - b)}{a (2 a + b)}$
49357	Solve the Function Operation	f(x)=-(x+6)^2+4 if x<-3; 2x+2 if -3<=x<=2; -3/2x+5 if x>2 Find f(-4)	$f (x) = {\begin{cases} - {(x + 6)}^{2} + 4 & x < - 3 \\ 2 x + 2 & - 3 \leq x \leq 2 \\ - \frac{3}{2} x + 5 & x > 2 \end{cases}$ Find $f (- 4)$
49358	Solve the Function Operation	Given that f(x)=x^2-8x+12 and g(x)=x-6 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 8 x + 12$ and $g (x) = x - 6$ ; find $(f \div g) (x)$ and express the result in standard form.
49359	Find the Direction Angle of the Vector	-6i+2j	$- 6 i + 2 j$
49360	Find the Asymptotes	f(x) = log of 7x-9+3	$f (x) = \log (7 x - 9) + 3$
49361	Find the Domain	A(r)=2pir^2+16pir	$A (r) = 2 π r^{2} + 16 π r$
49362	Find the Sum of the Infinite Geometric Series	5/2 , 2 , 8/5	$\frac{5}{2}$ , $2$ , $\frac{8}{5}$
49363	Evaluate the Function	15+18 , 36-75+84 , 214-0 , 25	$15 + 18$ , $36 - 75 + 84$ , $214 - 0$ , $25$
49364	Solve the Function Operation	f(x)=8(x+10) ; find f^-1(x)	$f (x) = 8 (x + 10)$ ; find $f^{- 1} (x)$
49365	Solve the Function Operation	f(x)=5x-3 ; find f(-3)	$f (x) = 5 x - 3$ ; find $f (- 3)$
49366	Solve the Function Operation	f(x)=-2x-15 g(x)=2x^2+3x+3 Find: (fog)(x)	$f (x) = - 2 x - 15$ $g (x) = 2 x^{2} + 3 x + 3$ Find: $((f \circ g)) (x)$
49367	Solve the Function Operation	f(x)=x^2-2x-13 g(x)=-x-3 Find: f(g(x))	$f (x) = x^{2} - 2 x - 13$ $g (x) = - x - 3$ Find: $f (g (x))$
49368	Solve the Function Operation	f(x)=2x-7 if 1<=x<5; 4 if x=5; -4 if x>5 Find f(5)	$f (x) = {\begin{cases} 2 x - 7 & 1 \leq x < 5 \\ 4 & x = 5 \\ - 4 & x > 5 \end{cases}$ Find $f (5)$
49369	Solve the Function Operation	Given that f(x)=x^2-13x+36 and g(x)=x-9 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 13 x + 36$ and $g (x) = x - 9$ ; find $(f + g) (x)$ and express the result in standard form.
49370	Find the Sum of the Series	40-10+2.5-0.625+...	$40 - 10 + 2.5 - 0.625 + \dots$
49371	Solve the Function Operation	f(x)=x^2-7x+14 g(x)=4x-9 Find: (gof)(x)	$f (x) = x^{2} - 7 x + 14$ $g (x) = 4 x - 9$ Find: $((g \circ f)) (x)$
49372	Find the Asymptotes	(9x^3+3x^2-2x)/(9x^2+3x-2)	$\frac{9 x^{3} + 3 x^{2} - 2 x}{9 x^{2} + 3 x - 2}$
49373	Find the Asymptotes	(2x^2-50)/(2x^2+x)	$\frac{2 x^{2} - 50}{2 x^{2} + x}$
49374	Find the Difference Quotient	-x^3	$- x^{3}$
49375	Find the Asymptotes	(x^2)/9-((y-1)^2)/5=1	$\frac{x^{2}}{9} - \frac{{(y - 1)}^{2}}{5} = 1$
49376	Find the GCF	30ab^6 , 45a^2b	$30 a b^{6}$ , $45 a^{2} b$
49377	Solve the Function Operation	f(x)=5(x+10) ; find f^-1(x)	$f (x) = 5 (x + 10)$ ; find $f^{- 1} (x)$
49378	Find the Domain	(2x-3)/(x(x+1))	$\frac{2 x - 3}{x (x + 1)}$
49379	Find the Slope	(-4,13) and (6,-2)	$(- 4, 13)$ and $(6, - 2)$
49380	Evaluate the Function	(-3,-28) , (0,-4) , (4,168) , (-5,-174)	$(- 3, - 28)$ , $(0, - 4)$ , $(4, 168)$ , $(- 5, - 174)$
49381	Find the Asymptotes	(2x+3)/(5x^2+4)	$\frac{2 x + 3}{5 x^{2} + 4}$
49382	Solve the Function Operation	Given that f(x)=x^2-18x+80 and g(x)=x-10 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 18 x + 80$ and $g (x) = x - 10$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
49383	Find the GCF	What is the GCF of 18k and 15k^3	What is the GCF of $18 k$ and $15 k^{3}$
49384	Find the Asymptotes	f(x)=(2x^2+x-3)/(4x^2-3x-1)	$f (x) = \frac{2 x^{2} + x - 3}{4 x^{2} - 3 x - 1}$
49385	Solve the Function Operation	Given that f(x)=x^2+5x-14 and g(x)=x+7 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 5 x - 14$ and $g (x) = x + 7$ ; find $(f \cdot g) (x)$ and express the result in standard form.
49386	Solve the Function Operation	Find (g-h)(x) when g(x)=x^3+2x^2-8x and h(x)=-3x^3+6x^2+5x-9	Find $(g - h) (x)$ when $g (x) = x^{3} + 2 x^{2} - 8 x$ and $h (x) = - 3 x^{3} + 6 x^{2} + 5 x - 9$
49387	Find the Slope	(3,-5) and (3,2)	$(3, - 5)$ and $(3, 2)$
49388	Find the Domain	square root of 5- square root of 2x-1	$\sqrt{5 - \sqrt{2 x - 1}}$
49389	Solve the Function Operation	f(x)=2x^2-4x+13 g(x)=3x-5 Find: (gof)(x)	$f (x) = 2 x^{2} - 4 x + 13$ $g (x) = 3 x - 5$ Find: $((g \circ f)) (x)$
49390	Find the Asymptotes	f(x)=(9x^6)/(7x)	$f (x) = \frac{9 x^{6}}{7 x}$
49391	Find the Domain	f(x)=1/( square root of 7x^2+20x-3)	$f (x) = \frac{1}{\sqrt{7 x^{2} + 20 x - 3}}$
49392	Solve the Function Operation	Given g(x)=-3x-4 ; find g(1)	Given $g (x) = - 3 x - 4$ ; find $g (1)$
49393	Find the Slope	3x+y=3x-8	$3 x + y = 3 x - 8$
49394	Find the Asymptotes	(2x-9)/(3x^2-75)	$\frac{2 x - 9}{3 x^{2} - 75}$
49395	Find the Domain	1/(1-tan(x))	$\frac{1}{1 - \tan (x)}$
49396	Solve the Function Operation	f(x)=-x+5 g(x)=x^2-x-4 Find: (fog)(x)	$f (x) = - x + 5$ $g (x) = x^{2} - x - 4$ Find: $((f \circ g)) (x)$
49397	Solve the Function Operation	f(x)=2x-10 g(x)=x^2+4x-2 Find: (gof)(x)	$f (x) = 2 x - 10$ $g (x) = x^{2} + 4 x - 2$ Find: $((g \circ f)) (x)$
49398	Evaluate the Function	x=-1 , 3 , 4	$x = - 1$ , $3$ , $4$
49399	Find the Slope	(5,-10) and (11,-12)	$(5, - 10)$ and $(11, - 12)$
49400	Solve the Function Operation	f(x)=x^2-2x-6 g(x)=-5x-3 Find: (gof)(x)	$f (x) = x^{2} - 2 x - 6$ $g (x) = - 5 x - 3$ Find: $((g \circ f)) (x)$