Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48501	Solve the Function Operation	g(x)=2x+5 ; find g(1)	$g (x) = 2 x + 5$ ; find $g (1)$
48502	Find the Slope	(0,4) and (6,-4)	$(0, 4)$ and $(6, - 4)$
48503	Find the Asymptotes	f(x)=(4x)/(x^3+2x^2-3x)	$f (x) = \frac{4 x}{x^{3} + 2 x^{2} - 3 x}$
48504	Solve the Function Operation	f(x)=-x+2 ; find f(-6)	$f (x) = - x + 2$ ; find $f (- 6)$
48505	Evaluate the Function	f(x)=-x^3+2x^2-11 , f(-3)	$f (x) = - x^{3} + 2 x^{2} - 11$ , $f (- 3)$
48506	Find the GCF	xy^10 , x^4y^6 , x^9y^9 , x^10y^10	$x y^{10}$ , $x^{4} y^{6}$ , $x^{9} y^{9}$ , $x^{10} y^{10}$
48507	Find the Slope	(-3,0) and (0,-3)	$(- 3, 0)$ and $(0, - 3)$
48508	Solve the Function Operation	g(x)=-2x+5 ; find g(2)	$g (x) = - 2 x + 5$ ; find $g (2)$
48509	Solve the Function Operation	g(x)=-x-4 ; find g(5)	$g (x) = - x - 4$ ; find $g (5)$
48510	Find the Domain	(x^2+6)/( square root of 1-x)	$\frac{x^{2} + 6}{\sqrt{1 - x}}$
48511	Find the Asymptotes	f(x)=(6-5x)/(3x-7)	$f (x) = \frac{6 - 5 x}{3 x - 7}$
48512	Determine if a Parabola	y=-2x^2	$y = - 2 x^{2}$
48513	Find the Asymptotes	f(x)=(1+e^xsin(x))/(e^(x-1)-1)	$f (x) = \frac{1 + e^{x} \sin (x)}{e^{x - 1} - 1}$
48514	Find the Slope	(-1,-2) and (0,1)	$(- 1, - 2)$ and $(0, 1)$
48515	Solve the Function Operation	R=[[3,2],[-1,0]] , S=[[-2,1],[1,-1]]	$R = [\begin{array}{c} 3 & 2 \\ - 1 & 0 \end{array}]$ , $S = [\begin{array}{c} - 2 & 1 \\ 1 & - 1 \end{array}]$
48516	Find the Domain	f(x)=(2x^2-3)/(x^3+3x^2+3x+1)	$f (x) = \frac{2 x^{2} - 3}{x^{3} + 3 x^{2} + 3 x + 1}$
48517	Solve the Function Operation	h(X)=3X+3 g(X)=-4X+1 Find (h+g)(10)	$h (X) = 3 X + 3$ $g (X) = - 4 X + 1$ Find $(h + g) (10)$
48518	Solve the Function Operation	h(x)=4x+3 ; find h(-1)	$h (x) = 4 x + 3$ ; find $h (- 1)$
48519	Find the Domain	28/(x^2-9)+x/(3-x)+7/(3+x)=1	$\frac{28}{x^{2} - 9} + \frac{x}{3 - x} + \frac{7}{3 + x} = 1$
48520	Find the Asymptotes	f(x)=-2(1/3)^x+6	$f (x) = - 2 {(\frac{1}{3})}^{x} + 6$
48521	Solve the Function Operation	g(x)=3x+4 h(x)=3x-1 Find g(h(x))	$g (x) = 3 x + 4$ $h (x) = 3 x - 1$ Find $g (h (x))$
48522	Solve the Function Operation	f(x)=x+7 g(x)=2x^2-5x-12 Find: g(f(x))	$f (x) = x + 7$ $g (x) = 2 x^{2} - 5 x - 12$ Find: $g (f (x))$
48523	Evaluate the Function	f(x)=2x^2+5x-9 , f(5x-2)	$f (x) = 2 x^{2} + 5 x - 9$ , $f (5 x - 2)$
48524	Find the Asymptotes	(5(x+4))/(x^2+x-12)	$\frac{5 (x + 4)}{x^{2} + x - 12}$
48525	Find the Domain	f(x)=( square root of x^2-9)/(x+4)	$f (x) = \frac{\sqrt{x^{2} - 9}}{x + 4}$
48526	Find the Domain	f(x,y) = square root of 2x-y	$f (x, y) = \sqrt{2 x - y}$
48527	Find the Domain	f(x)=( square root of 2x+7)/( square root of 3-2x)	$f (x) = \frac{\sqrt{2 x + 7}}{\sqrt{3 - 2 x}}$
48528	Find the Asymptotes	(-x^2+5x)/(2x^2)	$\frac{- x^{2} + 5 x}{2 x^{2}}$
48529	Find the Vertex	x^2+3y-4x=17	$x^{2} + 3 y - 4 x = 17$
48530	Find the Asymptotes	f(x)=-3/(x^2+x-6)	$f (x) = - \frac{3}{x^{2} + x - 6}$
48531	Solve the Function Operation	100020 , 122 , 12*100	$1000 \times 20$ , $12 \times 2$ , $12 \times 100$
48532	Find the Domain	(x^2+x)(x^2)	$(x^{2} + x) (x^{2})$
48533	Find the Average Rate of Change	f(x) = square root of x from x_1=9 to x_2=16	$f (x) = \sqrt{x}$ from $x_{1} = 9$ to $x_{2} = 16$
48534	Find the Slope	(9,-3) and (9,-8)	$(9, - 3)$ and $(9, - 8)$
48535	Find the Asymptotes	f(x)=(2+3x)/(x^2+3x-4)	$f (x) = \frac{2 + 3 x}{x^{2} + 3 x - 4}$
48536	Find the GCF	24 and 54	$24$ and $54$
48537	Find the Vertex	y=-\|x+4\|	$y = - \| x + 4 \|$
48538	Solve the Function Operation	h(x)=3x+4 ; find h(-1)	$h (x) = 3 x + 4$ ; find $h (- 1)$
48539	Find the Domain	f(x,y) = square root of x^2+y^2-4	$f (x, y) = \sqrt{x^{2} + y^{2} - 4}$
48540	Find the Slope	(-11,7) and (-11,-2)	$(- 11, 7)$ and $(- 11, - 2)$
48541	Find the Vertex	(x^2)/4-(y^2)/16=1	$\frac{x^{2}}{4} - \frac{y^{2}}{16} = 1$
48542	Find the Domain	f(x)=1/(2x^2+11x+15)	$f (x) = \frac{1}{2 x^{2} + 11 x + 15}$
48543	Find the Average Rate of Change	f(x)=-2x^2+4	$f (x) = - 2 x^{2} + 4$
48544	Find the Domain	cube root of 1- square root of x	$\sqrt[3]{1 - \sqrt{x}}$
48545	Solve the Function Operation	f(x)=-x+2 ; find f(-1)	$f (x) = - x + 2$ ; find $f (- 1)$
48546	Find the Asymptotes	y=(x^2-10)/(3x^2+x+1)	$y = \frac{x^{2} - 10}{3 x^{2} + x + 1}$
48547	Find the Domain	f(x)=(2x-1)/(3-x)+( square root of 25-x^2-9)/(1-\|x-3\|)	$f (x) = \frac{2 x - 1}{3 - x} + \frac{\sqrt{25 - x^{2}} - 9}{1 - \| x - 3 \|}$
48548	Find the Asymptotes	(4x-8)/(x^2-4x+4)	$\frac{4 x - 8}{x^{2} - 4 x + 4}$
48549	Find the Domain	f(x)=2+ square root of x-1	$f (x) = 2 + \sqrt{x - 1}$
48550	Find the Slope	(5,-5) and (7,3)	$(5, - 5)$ and $(7, 3)$
48551	Split Using Partial Fraction Decomposition	(2x^2+x)/((x-1)^2(x+1)^2)	$\frac{2 x^{2} + x}{{(x - 1)}^{2} {(x + 1)}^{2}}$
48552	Find the Domain	y = square root of x^2+4	$y = \sqrt{x^{2} + 4}$
48553	Determine if Odd, Even, or Neither	f(x)=-3x^3+3x^7+x	$f (x) = - 3 x^{3} + 3 x^{7} + x$
48554	Solve the Function Operation	g(n)=n^3-5n^2 ; Find g(-4n)	$g (n) = n^{3} - 5 n^{2}$ ; Find $g (- 4 n)$
48555	Find the Asymptotes	r(x)=(x^3-3x^2-4x)/(x-4)	$r (x) = \frac{x^{3} - 3 x^{2} - 4 x}{x - 4}$
48556	Solve the Function Operation	h(x)=-2x-4 ; find h(-2)	$h (x) = - 2 x - 4$ ; find $h (- 2)$
48557	Find the Asymptotes	f(x)=((x-4)(2x-3))/((x-1)^2)	$f (x) = \frac{(x - 4) (2 x - 3)}{{(x - 1)}^{2}}$
48558	Find the Asymptotes	t(x)=(3x^2)/(x^4-1)	$t (x) = \frac{3 x^{2}}{x^{4} - 1}$
48559	Find the Asymptotes	(5x^2-25x)/(-4x^2)	$\frac{5 x^{2} - 25 x}{- 4 x^{2}}$
48560	Solve the Function Operation	f(x)=2x-6 and g(x)=3x+9 ; find (f-g)(x)	$f (x) = 2 x - 6$ and $g (x) = 3 x + 9$ ; find $(f - g) (x)$
48561	Find the Asymptotes	f(x)=4x	$f (x) = 4 x$
48562	Find the Slope	(2,-2) and (4,-7)	$(2, - 2)$ and $(4, - 7)$
48563	Find the Slope	(-6,-3) and (3,-6)	$(- 6, - 3)$ and $(3, - 6)$
48564	Find the Domain	f(x)=(3x-2)/(x-3)+( square root of 16-x^2-4)/(2-\|x-3\|)	$f (x) = \frac{3 x - 2}{x - 3} + \frac{\sqrt{16 - x^{2}} - 4}{2 - \| x - 3 \|}$
48565	Determine if Odd, Even, or Neither	y=2x-1	$y = 2 x - 1$
48566	Find the Vertex	f(x)=\|x-3\|	$f (x) = \| x - 3 \|$
48567	Find the Slope	(-6,-7) and (5,-7)	$(- 6, - 7)$ and $(5, - 7)$
48568	Solve the Function Operation	h(x)=-x+5 ; find h(-5)	$h (x) = - x + 5$ ; find $h (- 5)$
48569	Solve the Function Operation	f(x)=2x-6 and g(x)=3x+9 ; find (f+g)(x)	$f (x) = 2 x - 6$ and $g (x) = 3 x + 9$ ; find $(f + g) (x)$
48570	Find the Asymptotes	(2x^2+6x)/(-4x^2+8x)	$\frac{2 x^{2} + 6 x}{- 4 x^{2} + 8 x}$
48571	Find the GCF	Find the GCF of 108d^2 and 216d	Find the GCF of $108 d^{2}$ and $216 d$
48572	Solve the Function Operation	(-3,5)^3	${(- 3, 5)}^{3}$
48573	Solve the Function Operation	g(x)=-3x-5 ; find g(-4)	$g (x) = - 3 x - 5$ ; find $g (- 4)$
48574	Find the Asymptotes	(x^2-2x-3)/(-4x+12)	$\frac{x^{2} - 2 x - 3}{- 4 x + 12}$
48575	Find the Vertex	y=-\|x\|	$y = - \| x \|$
48576	Find the Asymptotes	y=2x	$y = 2 x$
48577	Solve the Function Operation	g(x)=-4x-2 ; find g(1)	$g (x) = - 4 x - 2$ ; find $g (1)$
48578	Solve the Function Operation	g(x)=-x-2 ; find g(-5)	$g (x) = - x - 2$ ; find $g (- 5)$
48579	Find the Domain	g(x) = square root of (6+x)/(6-x)	$g (x) = \sqrt{\frac{6 + x}{6 - x}}$
48580	Find the Domain	3^(2 log base 3 of x+1)=16	$3^{2 \log_{3} (x + 1)} = 16$
48581	Find the Domain	f(x)=( square root of 2x-3)/(x^2-5x+4)	$f (x) = \frac{\sqrt{2 x - 3}}{x^{2} - 5 x + 4}$
48582	Find the Vertex	f(x)=-5/2\|x-4\|	$f (x) = - \frac{5}{2} \| x - 4 \|$
48583	Solve the Function Operation	f(x) = square root of x+2 ; find f^-1(x)	$f (x) = \sqrt{x + 2}$ ; find $f^{- 1} (x)$
48584	Find the Domain	x>=-11	$x \geq - 11$
48585	Find the Asymptotes	((2x+8)(x-5))/(x^2+4x-12)	$\frac{(2 x + 8) (x - 5)}{x^{2} + 4 x - 12}$
48586	Find the Slope	(2,-3) and (6,-13)	$(2, - 3)$ and $(6, - 13)$
48587	Find the Slope	(-1,3) and (2,-5)	$(- 1, 3)$ and $(2, - 5)$
48588	Find the Domain	square root of 25-x^2- square root of x+3	$\sqrt{25 - x^{2}} - \sqrt{x + 3}$
48589	Determine if Odd, Even, or Neither	f(x)=(3x^2)/(1-x^4)	$f (x) = \frac{3 x^{2}}{1 - x^{4}}$
48590	Find the Domain	(x^3)/( cube root of 1-x^3)	$\frac{x^{3}}{\sqrt[3]{1 - x^{3}}}$
48591	Solve the Function Operation	(x^2)/(63,500)+(y^2)/(50,900)=1	$\frac{x^{2}}{63, 500} + \frac{y^{2}}{50, 900} = 1$
48592	Solve the Function Operation	f(x)=-x-2 ; find f(-6)	$f (x) = - x - 2$ ; find $f (- 6)$
48593	Find the Domain	log base 2 of 128=x	$\log_{2} (128) = x$
48594	Solve the Function Operation	f(x)=2x-3 ; find f(1)	$f (x) = 2 x - 3$ ; find $f (1)$
48595	Find the Slope	Find the slope of the line passing through the points (3,4) and (8,-3)	Find the slope of the line passing through the points $(3, 4)$ and $(8, - 3)$
48596	Find the Domain	cube root of 1- cube root of 1-x	$\sqrt[3]{1 - \sqrt[3]{1 - x}}$
48597	Find the Domain	h(x)=(x^2-2x)/(x-6)	$h (x) = \frac{x^{2} - 2 x}{x - 6}$
48598	Find the Slope	y-4=5/2(x-2)	$y - 4 = \frac{5}{2} (x - 2)$
48599	Find the Asymptotes	f(x)=(x^4-4x^2)/(x^2-4x)	$f (x) = \frac{x^{4} - 4 x^{2}}{x^{2} - 4 x}$
48600	Find the Vertex	4x^2-128y=0	$4 x^{2} - 128 y = 0$