Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
20001	Graph	f(x)=4*(1/5)^x	$f (x) = 4 \cdot {(\frac{1}{5})}^{x}$
20002	Graph	f(x)=4- seventh root of x-7	$f (x) = 4 - \sqrt[7]{x - 7}$
20003	Write the Absolute Value as Piecewise	f(x)=\|-x-9\|	$f (x) = \| - x - 9 \|$
20004	Write the Absolute Value as Piecewise	f(x)=2\|x-2\|	$f (x) = 2 \| x - 2 \|$
20005	Write the Absolute Value as Piecewise	f(x)=\|-x+1\|	$f (x) = \| - x + 1 \|$
20006	Write the Absolute Value as Piecewise	f(x)=\|x-2\|+3	$f (x) = \| x - 2 \| + 3$
20007	Write the Absolute Value as Piecewise	f(x)=\|x-8\|	$f (x) = \| x - 8 \|$
20008	Write the Absolute Value as Piecewise	\|x^2\|+4	$\| x^{2} \| + 4$
20009	Write the Absolute Value as Piecewise	\|-5-4i\|	$\| - 5 - 4 i \|$
20010	Write the Absolute Value as Piecewise	\|x\|	$\| x \|$
20011	Write the Absolute Value as Piecewise	\|x-5\|	$\| x - 5 \|$
20012	Write the Absolute Value as Piecewise	\|-2+7i\|	$\| - 2 + 7 i \|$
20013	Write the Absolute Value as Piecewise	7-\|2(4)-17\|	$7 - \| 2 (4) - 17 \|$
20014	Write the Absolute Value as Piecewise	\|2x-9\|-9	$\| 2 x - 9 \| - 9$
20015	Write the Absolute Value as Piecewise	(x^2)*\|x-3\|	$(x^{2}) \cdot \| x - 3 \|$
20016	Write the Absolute Value as Piecewise	(r^2)/(\|r^2\|)	$\frac{r^{2}}{\| r^{2} \|}$
20017	Find the Domain of the Quotient of the Two Functions	f(x)=(2x+9)/(x^2-64) , g(x)=(x+1)/(x^2-64)	$f (x) = \frac{2 x + 9}{x^{2} - 64}$ , $g (x) = \frac{x + 1}{x^{2} - 64}$
20018	Find the Domain of the Quotient of the Two Functions	f(x)=4x-5 , g(x)=x-9	$f (x) = 4 x - 5$ , $g (x) = x - 9$
20019	Write the Absolute Value as Piecewise	f(x)=5\|x\|-\|x-4\|	$f (x) = 5 \| x \| - \| x - 4 \|$
20020	Graph	f(x)=(x+5)/(x^2-25)	$f (x) = \frac{x + 5}{x^{2} - 25}$
20021	Graph	f(x)=x^2-6x+14	$f (x) = x^{2} - 6 x + 14$
20022	Graph	f(x)=2 log base 2 of x+1+3	$f (x) = 2 \log_{2} (x + 1) + 3$
20023	Graph	f(x) = log base 5 of x+2	$f (x) = \log_{5} (x + 2)$
20024	Graph	f(x) = square root of 16-x^4	$f (x) = \sqrt{16 - x^{4}}$
20025	Graph	f(x)=3/(x-5)	$f (x) = \frac{3}{x - 5}$
20026	Graph	f(x)=(3y)/(y+5)	$f (x) = \frac{3 y}{y + 5}$
20027	Graph	f(x) = log base 2 of x+6	$f (x) = \log_{2} (x + 6)$
20028	Graph	f(x) = log base 3 of (x-7)/x	$f (x) = \log_{3} (\frac{x - 7}{x})$
20029	Graph	f(x) = log base 8 of x-7	$f (x) = \log_{8} (x - 7)$
20030	Graph	f(x)=(4x-9)/(3x+5)	$f (x) = \frac{4 x - 9}{3 x + 5}$
20031	Graph	f(x)=(8x)/(9x-7)	$f (x) = \frac{8 x}{9 x - 7}$
20032	Find the Difference of the Two Functions	f(x)=x+2 , g(x)=4x^2	$f (x) = x + 2$ , $g (x) = 4 x^{2}$
20033	Find the Sum of the Functions	f(x) = square root of x^2-4 , g(x)=(x^2)/(x^2+1)	$f (x) = \sqrt{x^{2} - 4}$ , $g (x) = \frac{x^{2}}{x^{2} + 1}$
20034	Find the Sum of the Functions	r(x)=x+5 , s(x)=4x^2	$r (x) = x + 5$ , $s (x) = 4 x^{2}$
20035	Find the Sum of the Functions	f(x)=7x+6 , g(x)=4x^2	$f (x) = 7 x + 6$ , $g (x) = 4 x^{2}$
20036	Find the Difference of the Two Functions	f(x)=2x+1 , g(x)=3x-2	$f (x) = 2 x + 1$ , $g (x) = 3 x - 2$
20037	Find the Difference of the Two Functions	f(x)=5x^2-8x , g(x)=x^2-8x+16	$f (x) = 5 x^{2} - 8 x$ , $g (x) = x^{2} - 8 x + 16$
20038	Find the Quotient of the Two Functions	f(x)=2x+1 , g(x)=x^2-7	$f (x) = 2 x + 1$ , $g (x) = x^{2} - 7$
20039	Find the Domain of the Sum of the Functions	f(x)=4x-16 , g(x)=x/4+4	$f (x) = 4 x - 16$ , $g (x) = \frac{x}{4} + 4$
20040	Find the Domain of the Product of the Functions	f(x)=x/(x-6) , g(x)=-8/(x+2)	$f (x) = \frac{x}{x - 6}$ , $g (x) = \frac{- 8}{x + 2}$
20041	Find the Domain of the Product of the Functions	f(x)=5x+2 , g(x) = square root of x	$f (x) = 5 x + 2$ , $g (x) = \sqrt{x}$
20042	Find the Sum of the Functions	f(x)=2/(x+4) , g(x)=x^2-2	$f (x) = \frac{2}{x + 4}$ , $g (x) = x^{2} - 2$
20043	Find the Domain of the Product of the Functions	f(x)=3x+2 , g(x)=3x-5	$f (x) = 3 x + 2$ , $g (x) = 3 x - 5$
20044	Find the Domain of the Product of the Functions	f(x)=x+2 , g(x)=5x-2x^2	$f (x) = x + 2$ , $g (x) = 5 x - 2 x^{2}$
20045	Find the Domain of the Product of the Functions	f(x)=x/(x+1) , g(x)=8/x	$f (x) = \frac{x}{x + 1}$ , $g (x) = \frac{8}{x}$
20046	Find the Domain of the Quotient of the Two Functions	f(x)=1/(x^2-9) , g(x) = square root of x-2	$f (x) = \frac{1}{x^{2} - 9}$ , $g (x) = \sqrt{x - 2}$
20047	Find the Domain of the Quotient of the Two Functions	f(x) = square root of 3x-5 , g(x)=x^2-4x-12	$f (x) = \sqrt{3 x - 5}$ , $g (x) = x^{2} - 4 x - 12$
20048	Find the Domain of the Quotient of the Two Functions	P(x)=4x^2+5x-1 , D(x)=x+4	$P (x) = 4 x^{2} + 5 x - 1$ , $D (x) = x + 4$
20049	Find the Domain and Range	g(x)=4^x-1	$g (x) = 4^{x} - 1$
20050	Find the Domain and Range	g(x)=3^(x+1)	$g (x) = 3^{x + 1}$
20051	Find the Domain and Range	g(x)=3/(x-4)	$g (x) = \frac{3}{x - 4}$
20052	Find the Domain and Range	g(x)=3^x+1	$g (x) = 3^{x} + 1$
20053	Find the Domain and Range	g(x)=1/x-3/(x+2)	$g (x) = \frac{1}{x} - \frac{3}{x + 2}$
20054	Find the Domain and Range	g(x)=1/(1+e^(-x))-3	$g (x) = \frac{1}{1 + e^{- x}} - 3$
20055	Find the Domain and Range	f(x)=tan(3x)	$f (x) = \tan (3 x)$
20056	Find the Domain and Range	f(x)=-x^2-1	$f (x) = - x^{2} - 1$
20057	Find the Domain and Range	f(x)=x-1	$f (x) = x - 1$
20058	Find the Domain and Range	g(x) = log base 2 of x-3	$g (x) = \log_{2} (x - 3)$
20059	Find the Domain and Range	g(x)=5^(x-1)	$g (x) = 5^{x - 1}$
20060	Find the Domain and Range	g(x) = log base 4 of x^2-4	$g (x) = \log_{4} (x^{2} - 4)$
20061	Find the Domain and Range	G(x) = square root of 4-x	$G (x) = \sqrt{4 - x}$
20062	Find the Domain and Range	g(x) = log base 5 of x	$g (x) = \log_{5} (x)$
20063	Find the Domain and Range	f(x) = log of x+5	$f (x) = \log (x + 5)$
20064	Find the Domain and Range	f(x) = log of x-3	$f (x) = \log (x) - 3$
20065	Find the Domain and Range	f(x) = log of x+10	$f (x) = \log (x + 10)$
20066	Find the Domain and Range	f(x) = log of x-5+1	$f (x) = \log (x - 5) + 1$
20067	Find the Domain and Range	f(x) = natural log of x-8	$f (x) = \ln (x - 8)$
20068	Find the Domain and Range	f(x) = natural log of 4-x^2	$f (x) = \ln (4 - x^{2})$
20069	Find the Domain and Range	f(x) = natural log of x^2	$f (x) = \ln (x^{2})$
20070	Find the Domain and Range	f(x) = natural log of x-1+3	$f (x) = \ln (x - 1) + 3$
20071	Convert to Radical Form	3x^(-3/4)	$3 x^{- \frac{3}{4}}$
20072	Find the Domain and Range	f(x) = natural log of x+ natural log of 5-x	$f (x) = \ln (x) + \ln (5 - x)$
20073	Find the Domain and Range	f(x) = natural log of 7-x	$f (x) = \ln (7 - x)$
20074	Find the Domain and Range	f(x)=9x^2-9x	$f (x) = 9 x^{2} - 9 x$
20075	Find the Domain and Range	f(x)=9x-x^3	$f (x) = 9 x - x^{3}$
20076	Find the Domain and Range	f(x)=6x-x^2-13	$f (x) = 6 x - x^{2} - 13$
20077	Find the Domain and Range	f(x)=8x^2+16x-3	$f (x) = 8 x^{2} + 16 x - 3$
20078	Find the Domain and Range	f(x)=8+e^(-x)	$f (x) = 8 + e^{- x}$
20079	Find the Domain and Range	f(x)=9-3e^(-x)	$f (x) = 9 - 3 e^{- x}$
20080	Find the Domain and Range	f(x) = natural log of (2x+1)/(3x-2)	$f (x) = \ln (\frac{2 x + 1}{3 x - 2})$
20081	Find the Domain and Range	f(x)=3-\|x-2\|	$f (x) = 3 - \| x - 2 \|$
20082	Find the Domain and Range	f(x)=-2cos(x)	$f (x) = - 2 \cos (x)$
20083	Find the Domain and Range	f(x)=-2cot(3x)	$f (x) = - 2 \cot (3 x)$
20084	Find the Domain and Range	f(x)=-2 natural log of x	$f (x) = - 2 \ln (x)$
20085	Find the Domain and Range	f(x)=2sin(3x)	$f (x) = 2 \sin (3 x)$
20086	Find the Domain and Range	f(x)=-2x^2+12x-20	$f (x) = - 2 x^{2} + 12 x - 20$
20087	Find the Domain and Range	f(x)=-2x^2+16x-7	$f (x) = - 2 x^{2} + 16 x - 7$
20088	Find the Domain and Range	f(x)=2x^2+6x-7	$f (x) = 2 x^{2} + 6 x - 7$
20089	Find the Domain and Range	f(x)=2x^2-3x+5	$f (x) = 2 x^{2} - 3 x + 5$
20090	Find the Center and Radius	x^2+y^2-6x+4y-12=0	$x^{2} + y^{2} - 6 x + 4 y - 12 = 0$
20091	Find the Domain and Range	f(x)=2+(1/2)^x	$f (x) = 2 + {(\frac{1}{2})}^{x}$
20092	Convert to Rectangular Coordinates	(8,3/2*pi)	$(8, \frac{3}{2} \cdot π)$
20093	Find the Domain and Range	f(x)=2(x+3)^2-4	$f (x) = 2 {(x + 3)}^{2} - 4$
20094	Find the Domain and Range	f(x)=4x^2-8x-4	$f (x) = 4 x^{2} - 8 x - 4$
20095	Find the Domain and Range	f(x)=4x^2-24x+38	$f (x) = 4 x^{2} - 24 x + 38$
20096	Find the Domain and Range	f(x)=6-3^x	$f (x) = 6 - 3^{x}$
20097	Find the Domain and Range	f(x)=3tan(x)	$f (x) = 3 \tan (x)$
20098	Find the Domain and Range	f(x)=-4x^2+8x-3	$f (x) = - 4 x^{2} + 8 x - 3$
20099	Find the Domain and Range	f(x)=3 log of 5x-2	$f (x) = 3 \log (5 x - 2)$
20100	Find the Domain and Range	f(x)=2 cube root of x+8-15	$f (x) = 2 \sqrt[3]{x + 8} - 15$