Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39001	Find the Domain and Range	f(x)=3x^5-20x^3	$f (x) = 3 x^{5} - 20 x^{3}$
39002	Find the Domain and Range	f(x)=3x^5-5x^3+3	$f (x) = 3 x^{5} - 5 x^{3} + 3$
39003	Find the Domain and Range	f(x)=3x^5-5x^4	$f (x) = 3 x^{5} - 5 x^{4}$
39004	Find the Domain and Range	f(x)=3xe^x	$f (x) = 3 x e^{x}$
39005	Find the Domain and Range	f(x)=3+3e^(-0.2x)	$f (x) = 3 + 3 e^{- 0.2 x}$
39006	Find the Domain and Range	f(x)=30x^3-75x^2-60x+45	$f (x) = 30 x^{3} - 75 x^{2} - 60 x + 45$
39007	Find the Domain and Range	f(x)=-35x^2+3200x+30000	$f (x) = - 35 x^{2} + 3200 x + 30000$
39008	Find the Domain and Range	f(x)=36x^4-36x^2	$f (x) = 36 x^{4} - 36 x^{2}$
39009	Find the Domain and Range	f(x)=-3cos(x)	$f (x) = - 3 \cos (x)$
39010	Find the Domain and Range	f(x)=3cos(x)-cos(x)^3	$f (x) = 3 \cos (x) - \cos^{3} (x)$
39011	Find the Domain and Range	f(x)=2x(x-2)^3	$f (x) = 2 x {(x - 2)}^{3}$
39012	Find the Domain and Range	f(x)=2x(x-3)^3	$f (x) = 2 x {(x - 3)}^{3}$
39013	Find the Domain and Range	f(x)=2x+(6A)/x	$f (x) = 2 x + \frac{6 A}{x}$
39014	Find the Domain and Range	f(x)=2cos(2x-pi/4)	$f (x) = 2 \cos (2 x - \frac{π}{4})$
39015	Find the Domain and Range	f(x)=-2cos(2x-pi/6)	$f (x) = - 2 \cos (2 x - \frac{π}{6})$
39016	Find the Domain and Range	f(x)=2cos(x)+cos(x)^2	$f (x) = 2 \cos (x) + \cos^{2} (x)$
39017	Find the Domain and Range	f(x)=2- natural log of 1	$f (x) = 2 - \ln (1)$
39018	Find the Domain and Range	f(x)=-2sin((2pi)/3x-pi/3)+1	$f (x) = - 2 \sin (\frac{2 π}{3} x - \frac{π}{3}) + 1$
39019	Find the Domain and Range	f(x)=2sin(2x-pi/6)-1	$f (x) = 2 \sin (2 x - \frac{π}{6}) - 1$
39020	Find the Domain and Range	f(x)=2sin(x)+2cos(x)	$f (x) = 2 \sin (x) + 2 \cos (x)$
39021	Find the Domain and Range	f(x)=0.3x+10	$f (x) = 0.3 x + 10$
39022	Find the Domain and Range	f(x)=-0.5\|x+3\|+5	$f (x) = - 0.5 \| x + 3 \| + 5$
39023	Find the Domain and Range	f(x)=1-2/(2x-3)	$f (x) = 1 - \frac{2}{2 x - 3}$
39024	Find the Domain and Range	f(x)=1-e^x	$f (x) = 1 - e^{x}$
39025	Find the Domain and Range	f(x)=1+1/x-1/(x^2)	$f (x) = 1 + \frac{1}{x} - \frac{1}{x^{2}}$
39026	Find the Domain and Range	f(x)=1+ natural log of x+6	$f (x) = 1 + \ln (x + 6)$
39027	Find the Domain and Range	f(x)=1+ natural log of x-2	$f (x) = 1 + \ln (x - 2)$
39028	Find the Domain and Range	f(x)=10x^2*(10x)	$f (x) = 10 x^{2} \cdot (10 x)$
39029	Find the Domain and Range	f(x)=10-x^3	$f (x) = 10 - x^{3}$
39030	Find the Domain and Range	f(x)=10x^4-60x^2	$f (x) = 10 x^{4} - 60 x^{2}$
39031	Find the Domain and Range	f(x)=(x-5)/(x+9)	$f (x) = \frac{x - 5}{x + 9}$
39032	Find the Domain and Range	f(x)=(x-5)/(x-6)	$f (x) = \frac{x - 5}{x - 6}$
39033	Find the Domain and Range	f(x)=(x-6)/(x^2+8x-2)	$f (x) = \frac{x - 6}{x^{2} + 8 x - 2}$
39034	Find the Domain and Range	f(x)=(x-6)/(x^2-13x+42)	$f (x) = \frac{x - 6}{x^{2} - 13 x + 42}$
39035	Find the Domain and Range	f(x)=(x-7)/(x^2+2x-15)	$f (x) = \frac{x - 7}{x^{2} + 2 x - 15}$
39036	Find the Domain and Range	f(x)=(x-8)/(x-2)	$f (x) = \frac{x - 8}{x - 2}$
39037	Find the Domain and Range	f(x)=xe^(5x)	$f (x) = x e^{5 x}$
39038	Find the Derivative - d/d@VAR	D(x) = square root of 250-x^3	$D (x) = \sqrt{250 - x^{3}}$
39039	Find the Domain and Range	f(x)=xe^x	$f (x) = x e^{x}$
39040	Find the Derivative - d/d@VAR	f(x) = natural log of 2x	$f (x) = \ln (2 x)$
39041	Find the Derivative - d/d@VAR	f(x)=arcsin(7x)+arccos(7x)	$f (x) = \arcsin (7 x) + \arccos (7 x)$
39042	Find the Domain and Range	f(x)=0.002x^3+5x+6406	$f (x) = 0.002 x^{3} + 5 x + 6406$
39043	Find the Domain and Range	f(x)=-0.12x^2+0.24x+5.12	$f (x) = - 0.12 x^{2} + 0.24 x + 5.12$
39044	Find the Domain and Range	f(x)=-0.15x^2-0.90x+3.3	$f (x) = - 0.15 x^{2} - 0.9 x + 3.3$
39045	Find the Domain and Range	f(x)=(x-4)/(x+4)	$f (x) = \frac{x - 4}{x + 4}$
39046	Find the Domain and Range	f(x)=(x-5)/(x^2-9)	$f (x) = \frac{x - 5}{x^{2} - 9}$
39047	Simplify	e^( natural log of x+ natural log of 11)	$e^{\ln (x) + \ln (11)}$
39048	Find the Domain and Range	f(x)=(x-1)/(x+7)	$f (x) = \frac{x - 1}{x + 7}$
39049	Find the Domain and Range	f(x)=(x-2)/(x^2-4x-12)	$f (x) = \frac{x - 2}{x^{2} - 4 x - 12}$
39050	Find the Domain and Range	f(x)=(x-2)/(x^2-8x+12)	$f (x) = \frac{x - 2}{x^{2} - 8 x + 12}$
39051	Find the Domain and Range	f(x)=x^3-24x^2	$f (x) = x^{3} - 24 x^{2}$
39052	Find the Domain and Range	f(x)=(x+4)/(x^2-5x-36)	$f (x) = \frac{x + 4}{x^{2} - 5 x - 36}$
39053	Find the Domain and Range	f(x)=(x+4)/(7x-5)	$f (x) = \frac{x + 4}{7 x - 5}$
39054	Find the Domain and Range	f(x)=(x+7)/(x^2+5x-3)	$f (x) = \frac{x + 7}{x^{2} + 5 x - 3}$
39055	Find the Domain and Range	f(x)=(x+7)/(x^2-6x+8)	$f (x) = \frac{x + 7}{x^{2} - 6 x + 8}$
39056	Find the Domain and Range	f(x)=(x+7)/(x-5)	$f (x) = \frac{x + 7}{x - 5}$
39057	Find the Domain	f(x)=x^2cos(x)	$f (x) = x^{2} \cos (x)$
39058	Find the Domain and Range	f(x)=(x+3)/(x^2-3x-18)	$f (x) = \frac{x + 3}{x^{2} - 3 x - 18}$
39059	Find the Domain and Range	f(x)=(x+3)/(x-5)	$f (x) = \frac{x + 3}{x - 5}$
39060	Find the Domain and Range	f(x)=-x^4-5x^3+8x-8	$f (x) = - x^{4} - 5 x^{3} + 8 x - 8$
39061	Find the Domain and Range	f(x)=x^4-6x^2-2	$f (x) = x^{4} - 6 x^{2} - 2$
39062	Find the Domain and Range	f(x)=x^4-6x^2-8x-3	$f (x) = x^{4} - 6 x^{2} - 8 x - 3$
39063	Find the Domain and Range	f(x)=x^4-7x^3+3x^2+7x-3	$f (x) = x^{4} - 7 x^{3} + 3 x^{2} + 7 x - 3$
39064	Find the Domain and Range	f(x)=x^4-72x^3	$f (x) = x^{4} - 72 x^{3}$
39065	Find the Domain and Range	f(x)=x^4-8x^2+8	$f (x) = x^{4} - 8 x^{2} + 8$
39066	Find the Domain	g(x)=-1/(2(5-x)^(1/2))	$g (x) = - \frac{1}{2 {(5 - x)}^{\frac{1}{2}}}$
39067	Find the Domain and Range	f(x)=x^4-8x^3+16x^2	$f (x) = x^{4} - 8 x^{3} + 16 x^{2}$
39068	Simplify	(2 square root of x)(4 cube root of x)	$(2 \sqrt{x}) (4 \sqrt[3]{x})$
39069	Find the Domain and Range	f(x)=x^5-3x^3-5x+2	$f (x) = x^{5} - 3 x^{3} - 5 x + 2$
39070	Find the Domain and Range	f(x)=x^5-5x^4+15	$f (x) = x^{5} - 5 x^{4} + 15$
39071	Find the Domain and Range	f(x)=x^5-5x+2	$f (x) = x^{5} - 5 x + 2$
39072	Find the Domain and Range	f(x)=x^5-8x^3+20x-1	$f (x) = x^{5} - 8 x^{3} + 20 x - 1$
39073	Find the Domain and Range	f(x)=x^6e^(-8x)	$f (x) = x^{6} e^{- 8 x}$
39074	Find the Domain and Range	f(x)=x^8	$f (x) = x^{8}$
39075	Find the Domain and Range	f(x)=(x+1)/((2x-1)(x+3))	$f (x) = \frac{x + 1}{(2 x - 1) (x + 3)}$
39076	Find the Domain and Range	f(x)=(x+1)/(x^2-4x+3)	$f (x) = \frac{x + 1}{x^{2} - 4 x + 3}$
39077	Find the Domain and Range	f(x)=(x+2)/(x^2-3x-10)	$f (x) = \frac{x + 2}{x^{2} - 3 x - 10}$
39078	Find the Domain and Range	f(x)=x^4-2x^2+1	$f (x) = x^{4} - 2 x^{2} + 1$
39079	Find the Domain and Range	f(x)=x^4-2x^3-3x^2+4x+4	$f (x) = x^{4} - 2 x^{3} - 3 x^{2} + 4 x + 4$
39080	Find the Domain and Range	f(x)=x^4-3x^2+2	$f (x) = x^{4} - 3 x^{2} + 2$
39081	Find the Domain and Range	f(x)=x^4-3x^3+13x^2+x-18	$f (x) = x^{4} - 3 x^{3} + 13 x^{2} + x - 18$
39082	Find the Domain and Range	f(x)=x^4-4x^3+15	$f (x) = x^{4} - 4 x^{3} + 15$
39083	Find the Domain and Range	f(x)=x^4-4x^3+16x-16	$f (x) = x^{4} - 4 x^{3} + 16 x - 16$
39084	Find the Domain and Range	f(x)=x^4-4x^3+2	$f (x) = x^{4} - 4 x^{3} + 2$
39085	Find the Domain and Range	f(x)=x^4-4x^3-10x^2+28x-15	$f (x) = x^{4} - 4 x^{3} - 10 x^{2} + 28 x - 15$
39086	Find the Domain and Range	f(x)=x^4- square root of x+1	$f (x) = x^{4} - \sqrt{x + 1}$
39087	Find the Domain and Range	f(x)=x^4+12x^3+28x^2+2	$f (x) = x^{4} + 12 x^{3} + 28 x^{2} + 2$
39088	Find the Domain and Range	f(x)=-x^4+15x^3-82x^2-149	$f (x) = - x^{4} + 15 x^{3} - 82 x^{2} - 149$
39089	Find the Domain and Range	f(x)=x^4+24x^3+216x^2-24x-9	$f (x) = x^{4} + 24 x^{3} + 216 x^{2} - 24 x - 9$
39090	Find the Domain and Range	f(x)=-x^4+28x^3-28x+7	$f (x) = - x^{4} + 28 x^{3} - 28 x + 7$
39091	Find the Domain and Range	f(x)=x^4+4x^3-16x^2-64x	$f (x) = x^{4} + 4 x^{3} - 16 x^{2} - 64 x$
39092	Find the Domain and Range	f(x)=x^4-10x^3+24x^2+32x-8	$f (x) = x^{4} - 10 x^{3} + 24 x^{2} + 32 x - 8$
39093	Find the Domain and Range	f(x)=x^3-6x^2+9x+5	$f (x) = x^{3} - 6 x^{2} + 9 x + 5$
39094	Find the Domain and Range	f(x)=x^3-6x^2+9x-8	$f (x) = x^{3} - 6 x^{2} + 9 x - 8$
39095	Find the Domain and Range	f(x)=x^3-7x^2+25x-39	$f (x) = x^{3} - 7 x^{2} + 25 x - 39$
39096	Find the Domain and Range	f(x)=x^3-8x-3	$f (x) = x^{3} - 8 x - 3$
39097	Find the Domain and Range	f(x)=x^3-9x^2+x-3	$f (x) = x^{3} - 9 x^{2} + x - 3$
39098	Find the Domain and Range	f(x)=x^2-6x+10	$f (x) = x^{2} - 6 x + 10$
39099	Find the Domain and Range	f(x)=3(x-7)(x+3)^2	$f (x) = 3 (x - 7) {(x + 3)}^{2}$
39100	Find the Domain and Range	f(x)=3.6x^2-2.2x	$f (x) = 3.6 x^{2} - 2.2 x$