Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50601	Solve the Function Operation	f(x)=(x+3)/(x+1) , (f(x)-f(1))/(x-1)	$f (x) = \frac{x + 3}{x + 1}$ , $\frac{f (x) - f (1)}{x - 1}$
50602	Find the GCF	9 and 15	$9$ and $15$
50603	Find the Slope	(3,0) and (6,-1)	$(3, 0)$ and $(6, - 1)$
50604	Solve the Function Operation	f(x)=(x^(1/3)-1)/9 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{3}} - 1}{9}$ ; find $f^{- 1} (x)$
50605	Solve the Function Operation	2A+0.75S=1 , 109 , A+S=937	$2 A + 0.75 S = 1$ , $109$ , $A + S = 937$
50606	Find the Slope	What is the slope of the line through (2,-2) and (9,3) ?	What is the slope of the line through $(2, - 2)$ and $(9, 3)$ ?
50607	Find the Domain	(5x+1)/(5x-20)+(x+17)/(20-5x)	$\frac{5 x + 1}{5 x - 20} + \frac{x + 17}{20 - 5 x}$
50608	Find the Domain	(4x-1)^(7/2)	${(4 x - 1)}^{\frac{7}{2}}$
50609	Find the Domain	y = square root of x-3+1/(x-3)	$y = \sqrt{x - 3} + \frac{1}{x - 3}$
50610	Find the Domain	(x^2-25)/(x^2-5x)	$\frac{(x^{2} - 25)}{x^{2} - 5 x}$
50611	Solve the Function Operation	If P(x)=x^2+x+4 ; find P(6)	If $P (x) = x^{2} + x + 4$ ; find $P (6)$
50612	Find the Domain	8-(8-x^3)^3	$8 - {(8 - x^{3})}^{3}$
50613	Solve the Function Operation	6h-1=-3	$6 h - 1 = - 3$
50614	Find the Vertex	y+6=2(x-7)^2	$y + 6 = 2 {(x - 7)}^{2}$
50615	Find the Slope	y-3=x+4	$y - 3 = x + 4$
50616	Find the GCF	18cd , 30cd	$18 c d$ , $30 c d$
50617	Find the GCF	130x and 13	$130 x$ and $13$
50618	Find the Slope	(3/8,-1) and (-1/4,-1/4)	$(\frac{3}{8}, - 1)$ and $(- \frac{1}{4}, - \frac{1}{4})$
50619	Solve the Function Operation	4k+3=14	$4 k + 3 = 14$
50620	Find the Domain	f(x)=(x^2-3x)/(2x^2+2x-12)	$f (x) = \frac{x^{2} - 3 x}{2 x^{2} + 2 x - 12}$
50621	Find the Vertex	f(x)=-3\|x\|	$f (x) = - 3 \| x \|$
50622	Find the Slope	Find the slope of the line passing through the points (-5,4) and (3,-3)	Find the slope of the line passing through the points $(- 5, 4)$ and $(3, - 3)$
50623	Find the Domain	f(x)=(11-2x)/(2x^2-13x-7)	$f (x) = \frac{11 - 2 x}{2 x^{2} - 13 x - 7}$
50624	Find the Domain	h(z)=z^8+z^-8	$h (z) = z^{8} + z^{- 8}$
50625	Find the Domain	f(x) = square root of 3/(2x-18)	$f (x) = \sqrt{\frac{3}{2 x - 18}}$
50626	Find the Direction Angle of the Vector	3i-4j	$3 i - 4 j$
50627	Find the GCF	12 and 44	$12$ and $44$
50628	Find the Domain	f(x)=(x+6)/( square root of 4-x^2)	$f (x) = \frac{x + 6}{\sqrt{4 - x^{2}}}$
50629	Find the Average Rate of Change	g(t)=2cos(t)^2 , [0,pi/6]	$g (t) = 2 \cos^{2} (t)$ , $[0, \frac{π}{6}]$
50630	Find the Domain	m(x) = fifth root of x-6	$m (x) = \sqrt[5]{x - 6}$
50631	Find the Domain	square root of y-x^2	$\sqrt{y - x^{2}}$
50632	Find the Asymptotes	g(x)=3csc(2x)	$g (x) = 3 \csc (2 x)$
50633	Find the Asymptotes	(12x^3)/(3x^2+1)	$\frac{12 x^{3}}{3 x^{2} + 1}$
50634	Find the Domain	log of 2x^2+3x = log of 6x+2	$\log (2 x^{2} + 3 x) = \log (6 x + 2)$
50635	Find the Asymptotes	f(x)=csc(1/2x-pi/4)	$f (x) = \csc (\frac{1}{2} x - \frac{π}{4})$
50636	Find the Domain	f(x)=(x-1)/(3 square root of 10-2x)	$f (x) = \frac{x - 1}{3 \sqrt{10 - 2 x}}$
50637	Find the Asymptotes	f(x)=(x^2-3x+2)/(2x^3-8x)	$f (x) = \frac{x^{2} - 3 x + 2}{2 x^{3} - 8 x}$
50638	Find the Slope	(-7,-2) and (7,8)	$(- 7, - 2)$ and $(7, 8)$
50639	Find the Domain	(1/y+2/(x-y))*(x-(x^2+y^2)/(x+y))	$(\frac{1}{y} + \frac{2}{x - y}) \cdot (x - \frac{x^{2} + y^{2}}{x + y})$
50640	Find the Slope	Find the slope of the line passing through the points (-4,7) and (2,-8)	Find the slope of the line passing through the points $(- 4, 7)$ and $(2, - 8)$
50641	Find the Asymptotes	(x^2-16)/(2x^2+8x)	$\frac{x^{2} - 16}{2 x^{2} + 8 x}$
50642	Solve the Function Operation	f(3) if f(x)=2x+4	$f (3)$ if $f (x) = 2 x + 4$
50643	Evaluate Using the Remainder Theorem	f(x)=2x^4+6x^3-2x^2-x-14 , c=-3	$f (x) = 2 x^{4} + 6 x^{3} - 2 x^{2} - x - 14$ , $c = - 3$
50644	Find the Slope	(3,4) and (5,8)	$(3, 4)$ and $(5, 8)$
50645	Find the Domain	(3x+5)/(2x-1)+(7x+3)/(1-2x)	$\frac{3 x + 5}{2 x - 1} + \frac{7 x + 3}{1 - 2 x}$
50646	Find the Domain	f(x)=sec(x)+1/2	$f (x) = \sec (x) + \frac{1}{2}$
50647	Find the Domain	(x(x+1))/(x+4)	$\frac{x (x + 1)}{x + 4}$
50648	Solve the Function Operation	g(x)=2x f(x)=-2x^3+2x Find g(x)+f(x)	$g (x) = 2 x$ $f (x) = - 2 x^{3} + 2 x$ Find $g (x) + f (x)$
50649	Find the Asymptotes	(2x(x+5))/((3x-2)(x+4))	$\frac{2 x (x + 5)}{(3 x - 2) (x + 4)}$
50650	Solve the Function Operation	Given that f(x)=x^2+9x+20 and g(x)=x+4 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 9 x + 20$ and $g (x) = x + 4$ ; find $(f - g) (x)$ and express the result in standard form.
50651	Find the Domain	x^4+2x^3+2x^2+x	$x^{4} + 2 x^{3} + 2 x^{2} + x$
50652	Find the Domain	(2x+1)/( square root of 5-x)	$\frac{2 x + 1}{\sqrt{5 - x}}$
50653	Find the Vertex	x^2=y	$x^{2} = y$
50654	Solve the Function Operation	x^3-6x^2+5x+12=0 , 4	$x^{3} - 6 x^{2} + 5 x + 12 = 0$ , $4$
50655	Find the Domain	h(x) = square root of (x+2)/(x^2-5x)	$h (x) = \sqrt{\frac{x + 2}{x^{2} - 5 x}}$
50656	Find the Slope of a Perpendicular Line	6x=3y-9	$6 x = 3 y - 9$
50657	Find the GCF	xy^3 , x^2y^2	$x y^{3}$ , $x^{2} y^{2}$
50658	Solve the Function Operation	f(x)=(x+9)/(x+4) , (f(x)-f(1))/(x-1)	$f (x) = \frac{x + 9}{x + 4}$ , $\frac{f (x) - f (1)}{x - 1}$
50659	Find the Asymptotes	f(x)=(x^2-4)/(x^4-81)	$f (x) = \frac{x^{2} - 4}{x^{4} - 81}$
50660	Solve the Function Operation	Given that f(x)=x^2-19x+90 and g(x)=x-10 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 19 x + 90$ and $g (x) = x - 10$ ; find $(f \div g) (x)$ and express the result in standard form.
50661	Find the Asymptotes	f(x)=((x-9)(x+5)(x-4))/(-6x^3-9x^2-5x+10)	$f (x) = \frac{(x - 9) (x + 5) (x - 4)}{- 6 x^{3} - 9 x^{2} - 5 x + 10}$
50662	Find the Domain	x/( cube root of x-2)	$\frac{x}{\sqrt[3]{x} - 2}$
50663	Solve the Function Operation	x+y=3 , 500x-y=2 , 342	$x + y = 3$ , $500 x - y = 2$ , $342$
50664	Solve the Function Operation	Given that f(x)=x^2+11x+30 and g(x)=x+6 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 11 x + 30$ and $g (x) = x + 6$ ; find $(f \cdot g) (x)$ and express the result in standard form.
50665	Evaluate the Function	f(x)=\|1-5x\| , f(9)	$f (x) = \| 1 - 5 x \|$ , $f (9)$
50666	Solve the Function Operation	Center=(3,4) , radius=2	$C e n t e r = (3, 4)$ , $r a d i u s = 2$
50667	Find the Slope	What is the slope of the line through (-10,1) and (0,-4) ?	What is the slope of the line through $(- 10, 1)$ and $(0, - 4)$ ?
50668	Find the Asymptotes	(x^3-5x)/(x^2+1)	$\frac{x^{3} - 5 x}{x^{2} + 1}$
50669	Find the GCF	10 and 20	$10$ and $20$
50670	Solve the Function Operation	f(x) = cube root of 9(x-9) ; find f^-1(x)	$f (x) = \sqrt[3]{9 (x - 9)}$ ; find $f^{- 1} (x)$
50671	Find the GCF	15 and 50	$15$ and $50$
50672	Solve the Function Operation	f(x)=((x^(1/7))/5)^5 ; find f^-1(x)	$f (x) = {(\frac{x^{\frac{1}{7}}}{5})}^{5}$ ; find $f^{- 1} (x)$
50673	Find the Vertex	f(x)=-3/4+2/5(x-6)^2	$f (x) = - \frac{3}{4} + \frac{2}{5} {(x - 6)}^{2}$
50674	Solve the Function Operation	sin(theta)=-15/17 , theta in Quadrant IV	$\sin (θ) = - \frac{15}{17}$ , $θ$ in Quadrant $I V$
50675	Find the Vertex	y+6=(2x-5)^2	$y + 6 = {(2 x - 5)}^{2}$
50676	Split Using Partial Fraction Decomposition	(2x^3-4x^2-15x+5)/(x^2-2x-8)	$\frac{2 x^{3} - 4 x^{2} - 15 x + 5}{x^{2} - 2 x - 8}$
50677	Find the Slope	What is the slope of the line through (-9,6) and (-3,9) ?	What is the slope of the line through $(- 9, 6)$ and $(- 3, 9)$ ?
50678	Solve the Function Operation	f(x)=x^2-x-6 , (f(-5))/(f(2))	$f (x) = x^{2} - x - 6$ , $\frac{f (- 5)}{f (2)}$
50679	Find the Domain	f(x)=(x^2+x-20)/(x^3-4x^2-9x+36)	$f (x) = \frac{x^{2} + x - 20}{x^{3} - 4 x^{2} - 9 x + 36}$
50680	Solve the Function Operation	f(x)=2x+3 g(x)=4x-2 Find (fog)(x)	$f (x) = 2 x + 3$ $g (x) = 4 x - 2$ Find $((f \circ g)) (x)$
50681	Find the Slope	(12,0) and (2,-5)	$(12, 0)$ and $(2, - 5)$
50682	Find the Asymptotes	y=(5x^3-4)/(x^2+4x-5)	$y = \frac{5 x^{3} - 4}{x^{2} + 4 x - 5}$
50683	Solve the Function Operation	f(x)=5 fifth root of x+7 ; find f^-1(x)	$f (x) = 5 \sqrt[5]{x + 7}$ ; find $f^{- 1} (x)$
50684	Find the Asymptotes	(2x(x+5))/(3(x+5))	$\frac{2 x (x + 5)}{3 (x + 5)}$
50685	Find the Asymptotes	(3(x-7)(x+7))/(2(x+7))	$\frac{3 (x - 7) (x + 7)}{2 (x + 7)}$
50686	Solve the Function Operation	g(x)=x-2 h(x)=-x-4 Find g(h(x))	$g (x) = x - 2$ $h (x) = - x - 4$ Find $g (h (x))$
50687	Find the Slope	(7,-4) and (7,-1)	$(7, - 4)$ and $(7, - 1)$
50688	Find the Difference Quotient	5x^2	$5 x^{2}$
50689	Find the GCF	10gh^2 and 5h	$10 g h^{2}$ and $5 h$
50690	Find the Average Rate of Change	25x-4y=50	$25 x - 4 y = 50$
50691	Find the Average Rate of Change	f(x)=-3x+5	$f (x) = - 3 x + 5$
50692	Find the Average Rate of Change	f(x)=sin(x/2)	$f (x) = \sin (\frac{x}{2})$
50693	Find the Average Rate of Change	f(x)=cos(x/2)	$f (x) = \cos (\frac{x}{2})$
50694	Find the Average Rate of Change	y=3x+1	$y = 3 x + 1$
50695	Find the Average Rate of Change	9x-11y+2=0	$9 x - 11 y + 2 = 0$
50696	Find the Average Rate of Change	f(x)=tan(x)	$f (x) = \tan (x)$
50697	Find the Average Rate of Change	f(x)=3x^2-2	$f (x) = 3 x^{2} - 2$
50698	Find the Average Rate of Change	y=2x+2	$y = 2 x + 2$
50699	Find the Average Rate of Change	f(x)=x^2+2x	$f (x) = x^{2} + 2 x$
50700	Find the Average Rate of Change	f(x)=2x^2+12x+16	$f (x) = 2 x^{2} + 12 x + 16$