Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47901	Solve the Function Operation	sih (x)=2x y j(x)=4x^2-6x	sih $(x) = 2 x$ $y$ $j (x) = 4 x^{2} - 6 x$
47902	Find the GCF	a^2x , ax^2	$a^{2} x$ , $a x^{2}$
47903	Solve the Function Operation	given g(x)=-5x+2 ; find g(4)	given $g (x) = - 5 x + 2$ ; find $g (4)$
47904	Find the Asymptotes	f(x)=(5x-15)/(x-3)	$f (x) = \frac{5 x - 15}{x - 3}$
47905	Find the Domain	f(x) = fourth root of x+9	$f (x) = \sqrt[4]{x + 9}$
47906	Find the Asymptotes	f(x)=(2x^2-11x-6)/(2x^3-15x^2+18x)	$f (x) = \frac{2 x^{2} - 11 x - 6}{2 x^{3} - 15 x^{2} + 18 x}$
47907	Find the Asymptotes	f(x)=(3^x+2)/(e^(2x)+1)	$f (x) = \frac{3^{x} + 2}{e^{2 x} + 1}$
47908	Find the Slope	Find the slope of the line passing through the points (-9,-3) and (7,-7)	Find the slope of the line passing through the points $(- 9, - 3)$ and $(7, - 7)$
47909	Find the Domain	f(x,y) = square root of x+y	$f (x, y) = \sqrt{x + y}$
47910	Find the Vertex	y^2=8(x-5)	$y^{2} = 8 (x - 5)$
47911	Find the Slope	(-5,-5) and (-5,5)	$(- 5, - 5)$ and $(- 5, 5)$
47912	Find the Slope	(8,7) and (4,5)	$(8, 7)$ and $(4, 5)$
47913	Solve the Function Operation	f(x) = fourth root of x-6 ; find f^-1(x)	$f (x) = \sqrt[4]{x} - 6$ ; find $f^{- 1} (x)$
47914	Find the Domain	f(x)=1/( square root of x^2-1)	$f (x) = \frac{1}{\sqrt{x^{2} - 1}}$
47915	Solve the Function Operation	f(x)=x^2-3x ; Find f(-8)	$f (x) = x^{2} - 3 x$ ; Find $f (- 8)$
47916	Find the Asymptotes	f(x)=(2x(x+1))/(3(x+7)(x-7))	$f (x) = \frac{2 x (x + 1)}{3 (x + 7) (x - 7)}$
47917	Find the Domain	x/(x^2-x-6)	$\frac{x}{x^{2} - x - 6}$
47918	Evaluate the Function	(6,2)	$(6, 2)$
47919	Find the Slope	(-2,-6) and (2,2)	$(- 2, - 6)$ and $(2, 2)$
47920	Find the Domain	P(t)=( square root of t-6)/(2t-16)	$P (t) = \frac{\sqrt{t - 6}}{2 t - 16}$
47921	Solve the Function Operation	(f+g)(-2)	$(f + g) (- 2)$
47922	Find the Vertex	4x^2+9y^2-24x+72y+144=0	$4 x^{2} + 9 y^{2} - 24 x + 72 y + 144 = 0$
47923	Determine if Odd, Even, or Neither	f(x) = square root of x^2-9	$f (x) = \sqrt{x^{2}} - 9$
47924	Find the Asymptotes	f(x)=(x-5)/(2(3x+2)(x-5))	$f (x) = \frac{x - 5}{2 (3 x + 2) (x - 5)}$
47925	Use the Rational Roots Test to Find All Possible Roots	D(x)=x^4-3x^3+x^2+3x-2	$D (x) = x^{4} - 3 x^{3} + x^{2} + 3 x - 2$
47926	Find the Slope	(9,4) and (9,-5)	$(9, 4)$ and $(9, - 5)$
47927	Find the Slope	(5,6) and (5,9)	$(5, 6)$ and $(5, 9)$
47928	Find the Vertex	f(x)=2\|x-6\|	$f (x) = 2 \| x - 6 \|$
47929	Find the Asymptotes	f(x)=(2(3x+8)(3x-8))/(3(x+2)(x-2))	$f (x) = \frac{2 (3 x + 8) (3 x - 8)}{3 (x + 2) (x - 2)}$
47930	Find the Slope of a Parallel Line	y=x	$y = x$
47931	Find the Domain	x/(\|x\|)	$\frac{x}{\| x \|}$
47932	Find the Slope	(-10,4) and (-10,8)	$(- 10, 4)$ and $(- 10, 8)$
47933	Find the Slope	(-9,6) and (-3,9)	$(- 9, 6)$ and $(- 3, 9)$
47934	Find the Slope	(2,-2) and (9,3)	$(2, - 2)$ and $(9, 3)$
47935	Find the GCF	x^2 and x^9	$x^{2}$ and $x^{9}$
47936	Find the Domain	square root of 2x- square root of x-7	$\sqrt{2 x} - \sqrt{x - 7}$
47937	Find the Slope	(3,6) and (1,2)	$(3, 6)$ and $(1, 2)$
47938	Find the Asymptotes	f(x)=(x^2-2x-1)/(1-x)	$f (x) = \frac{x^{2} - 2 x - 1}{1 - x}$
47939	Find the Slope	(0,-3) and (1,0)	$(0, - 3)$ and $(1, 0)$
47940	Find the Asymptotes	y=(x^2)/(x^2-x-12)	$y = \frac{x^{2}}{x^{2} - x - 12}$
47941	Find the Asymptotes	f(x)=x/(1+x^2)	$f (x) = \frac{x}{1 + x^{2}}$
47942	Solve the Function Operation	f(x) = fourth root of x-3 ; find f^-1(x)	$f (x) = \sqrt[4]{x} - 3$ ; find $f^{- 1} (x)$
47943	Find the Domain	y=(7-4x)/(\|2x+5\|+3)	$y = \frac{7 - 4 x}{\| 2 x + 5 \| + 3}$
47944	Find the Asymptotes	f(x)=(1+x)/(1+x^2)	$f (x) = \frac{1 + x}{1 + x^{2}}$
47945	Find the Slope	(-5,-1) and (-5,-10)	$(- 5, - 1)$ and $(- 5, - 10)$
47946	Find the Asymptotes	f(x)=((2x+3)(x-4))/(3(x-4))	$f (x) = \frac{(2 x + 3) (x - 4)}{3 (x - 4)}$
47947	Find the Domain	f(x)=(x-5)/(3x^3-13x^2-10x)	$f (x) = \frac{x - 5}{3 x^{3} - 13 x^{2} - 10 x}$
47948	Split Using Partial Fraction Decomposition	(x^4+x^3+x^2-x+1)/(x(x^2+1)^2)	$\frac{x^{4} + x^{3} + x^{2} - x + 1}{x {(x^{2} + 1)}^{2}}$
47949	Find the Slope	(-4,-3) and (8,0)	$(- 4, - 3)$ and $(8, 0)$
47950	Find the Domain	f(x)=- square root of x^2-4	$f (x) = - \sqrt{x^{2} - 4}$
47951	Find the Slope	(-3,2) and (2,2)	$(- 3, 2)$ and $(2, 2)$
47952	Find the Asymptotes	f(x)=(2-x)/((x-4)(x+5))	$f (x) = \frac{2 - x}{(x - 4) (x + 5)}$
47953	Find the Asymptotes	f(x)=(3(x+7)(x-7))/(2x(x+7))	$f (x) = \frac{3 (x + 7) (x - 7)}{2 x (x + 7)}$
47954	Find the Domain	P(t)=( square root of t-6)/(4t-32)	$P (t) = \frac{\sqrt{t - 6}}{4 t - 32}$
47955	Find the Domain	( square root of 1-x^2)/(x^2)	$\frac{\sqrt{1 - x^{2}}}{x^{2}}$
47956	Find the Slope	(-5,-10) and (-1,5)	$(- 5, - 10)$ and $(- 1, 5)$
47957	Find the Domain	g(x)=( cube root of x)/(x^2+1)	$g (x) = \frac{\sqrt[3]{x}}{x^{2} + 1}$
47958	Determine if Odd, Even, or Neither	F(x)=x^11+x^9	$F (x) = x^{11} + x^{9}$
47959	Find the GCF	36 and 42	$36$ and $42$
47960	Determine if Odd, Even, or Neither	f(x)=(x^2)/(x-1)	$f (x) = \frac{x^{2}}{x - 1}$
47961	Find the Asymptotes	h(x)=(x^2-4)/((x-4)(x+2))	$h (x) = \frac{x^{2} - 4}{(x - 4) (x + 2)}$
47962	Find the Asymptotes	f(x)=(18-3x-x^2)/(x^2-9)	$f (x) = \frac{18 - 3 x - x^{2}}{x^{2} - 9}$
47963	Find the Domain	f(x)=( square root of 2x-7)/( square root of 3-2x)	$f (x) = \frac{\sqrt{2 x - 7}}{\sqrt{3 - 2 x}}$
47964	Find the Slope	(2,4) and (3,8)	$(2, 4)$ and $(3, 8)$
47965	Find the Asymptotes	r(x)=(x^2+6x-7)/(x^2+2x-3)	$r (x) = \frac{x^{2} + 6 x - 7}{x^{2} + 2 x - 3}$
47966	Find the Slope	Ax+By+C=0	$A x + B y + C = 0$
47967	Find the Slope	(3,8) and (8,13)	$(3, 8)$ and $(8, 13)$
47968	Evaluate the Function	(3,5)	$(3, 5)$
47969	Solve the Function Operation	12÷43+18÷93-4*3	$12 \div 4 \times 3 + 18 \div 9 \times 3 - 4 \times 3$
47970	Find the Domain	h(x) = square root of 4-x+ square root of x^2-1	$h (x) = \sqrt{4 - x} + \sqrt{x^{2} - 1}$
47971	Find the Domain	F(x)=(2x-5)/(x^2-5x+6)	$F (x) = \frac{2 x - 5}{x^{2} - 5 x + 6}$
47972	Find the Vertex	y=4\|x\|+1	$y = 4 \| x \| + 1$
47973	Find the Domain	( square root of x+4)^2	${(\sqrt{x + 4})}^{2}$
47974	Find the Slope	(4,8) and (2,12)	$(4, 8)$ and $(2, 12)$
47975	Find the Asymptotes	f(x)=(x^2-9)/(2x^2+5x-3)	$f (x) = \frac{x^{2} - 9}{2 x^{2} + 5 x - 3}$
47976	Find the Asymptotes	f(x)=x/(x^2-2x)	$f (x) = \frac{x}{x^{2} - 2 x}$
47977	Find the Slope	(-7,-2) and (-6,7)	$(- 7, - 2)$ and $(- 6, 7)$
47978	Find the GCF	27 and 36	$27$ and $36$
47979	Find the Slope	(3,2) and (-1,2)	$(3, 2)$ and $(- 1, 2)$
47980	Find the Vertex	11x^2-25y^2+22x+250y-889=0	$11 x^{2} - 25 y^{2} + 22 x + 250 y - 889 = 0$
47981	Solve the Function Operation	10^(2-b)=10 , 0	$10^{2 - b} = 10$ , $0$
47982	Find the Domain	(x-4)/( square root of x)	$\frac{x - 4}{\sqrt{x}}$
47983	Solve the Function Operation	p(t)=4t-5 ; Find p(t-2)	$p (t) = 4 t - 5$ ; Find $p (t - 2)$
47984	Find the Factors Using the Factor Theorem	x-1 , x^2+2x+5	$x - 1$ , $x^{2} + 2 x + 5$
47985	Find the Slope	(7,2) and (8,4)	$(7, 2)$ and $(8, 4)$
47986	Find the Asymptotes	r(x)=(x^2-7x-8)/(x+1)	$r (x) = \frac{x^{2} - 7 x - 8}{x + 1}$
47987	Find the GCF	9x^2y^2 and 5x^2y^3	$9 x^{2} y^{2}$ and $5 x^{2} y^{3}$
47988	Find the Asymptotes	f(x)=(3-x)/((x-4)(x+5))	$f (x) = \frac{3 - x}{(x - 4) (x + 5)}$
47989	Find the Asymptotes	(x^2-16)/(x^3-5x^2+4x)	$\frac{x^{2} - 16}{x^{3} - 5 x^{2} + 4 x}$
47990	Find the Slope	(-4,2) and (3,-3)	$(- 4, 2)$ and $(3, - 3)$
47991	Find the GCF	7x^2 and 21x	$7 x^{2}$ and $21 x$
47992	Find the Slope	(10,6) and (9,5)	$(10, 6)$ and $(9, 5)$
47993	Find the Slope	(-1,-7) and (3,9)	$(- 1, - 7)$ and $(3, 9)$
47994	Find the Asymptotes	(2x^3)/(x^5)	$\frac{2 x^{3}}{x^{5}}$
47995	Evaluate the Function	x/a+x/b=c , a!=0 , b!=0 , a!=-b	$\frac{x}{a} + \frac{x}{b} = c$ , $a \neq 0$ , $b \neq 0$ , $a \neq - b$
47996	Find the Domain	f(x) = log of 1-x^2	$f (x) = \log (1 - x^{2})$
47997	Find the Asymptotes	(4x^4)/(2x^2-3)	$\frac{4 x^{4}}{2 x^{2} - 3}$
47998	Find the Domain	f(x)=2/(x+3)+(1- square root of 9-x^2)/(\|x-3\|-1)	$f (x) = \frac{2}{x + 3} + \frac{1 - \sqrt{9 - x^{2}}}{\| x - 3 \| - 1}$
47999	Find the Sum of the Infinite Geometric Series	1+1/2+1/4+1/8+...	$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \dots$
48000	Find the Slope	4=-3/5x-y	$4 = - \frac{3}{5} x - y$