Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38501	Find the Domain and Range	f(x)=5x^2-20x+7	$f (x) = 5 x^{2} - 20 x + 7$
38502	Find the Domain and Range	f(x)=5x^2-3x	$f (x) = 5 x^{2} - 3 x$
38503	Find the Domain and Range	f(x)=-5x^2-6x-6x^3	$f (x) = - 5 x^{2} - 6 x - 6 x^{3}$
38504	Find the Domain and Range	f(x)=5+(x^2)/(x^2-2x-3)	$f (x) = 5 + \frac{x^{2}}{x^{2} - 2 x - 3}$
38505	Find the Domain and Range	f(x)=5+5e^(-0.1x)	$f (x) = 5 + 5 e^{- 0.1 x}$
38506	Find the Domain and Range	f(x)=6-4x-16/x	$f (x) = 6 - 4 x - \frac{16}{x}$
38507	Find the Domain and Range	f(x)=6x+9x^-1	$f (x) = 6 x + 9 x^{- 1}$
38508	Find the Domain and Range	f(x)=3x-3	$f (x) = 3 x - 3$
38509	Find the Domain and Range	f(x)=9x^2+x^5 log of xx , x^2	$f (x) = 9 x^{2} + x^{5} \log (x) x$ , $x^{2}$
38510	Find the Domain and Range	f(x)=cos(x)-1/2*cos(2x)	$f (x) = \cos (x) - \frac{1}{2} \cdot \cos (2 x)$
38511	Find the Domain and Range	f(x) = natural log of x^2+8	$f (x) = \ln (x^{2} + 8)$
38512	Find the Domain and Range	f(x)=x+ natural log of x^2-1	$f (x) = x + \ln (x^{2} - 1)$
38513	Find the Domain and Range	f(x)=(1/3)x^3-3x^2+8x	$f (x) = (\frac{1}{3}) x^{3} - 3 x^{2} + 8 x$
38514	Find the Domain and Range	f(x)=(2/x)+x	$f (x) = (\frac{2}{x}) + x$
38515	Find the Domain and Range	f(x)=(x^2+10)(100-x^2)	$f (x) = (x^{2} + 10) (100 - x^{2})$
38516	Find the Domain and Range	f(x)=(x^2+12)(144-x^2)	$f (x) = (x^{2} + 12) (144 - x^{2})$
38517	Find the Domain and Range	f(x)=(x^2+7)(47-x^2)	$f (x) = (x^{2} + 7) (47 - x^{2})$
38518	Find the Domain and Range	f(x)=7e^(2x)	$f (x) = 7 e^{2 x}$
38519	Find the Domain and Range	f(x)=750e^(-1.5x)-1125e^-1.5x	$f (x) = 750 e^{- 1.5 x} - 1125 e^{- 1.5} x$
38520	Find the Domain and Range	f(x)=-8p^2+24000p	$f (x) = - 8 p^{2} + 24000 p$
38521	Find the Domain and Range	f(x)=cos(pi/2)	$f (x) = \cos (\frac{π}{2})$
38522	Find the Domain and Range	f(x) = natural log of x^2+36	$f (x) = \ln (x^{2} + 36)$
38523	Find the Domain and Range	f(x) = natural log of 11x^2+6	$f (x) = \ln (11 x^{2} + 6)$
38524	Find the Domain and Range	f(x) = natural log of 2x+3	$f (x) = \ln (2 x + 3)$
38525	Find the Domain and Range	f(x) = log of x-2-1	$f (x) = \log (x - 2) - 1$
38526	Find the Domain and Range	f(x)=ae^(-x/x)	$f (x) = a e^{- \frac{x}{x}}$
38527	Find the Domain and Range	f(x)=x square root of 9-x	$f (x) = x \sqrt{9 - x}$
38528	Find the Domain and Range	f(x)=x^3-2x+1	$f (x) = x^{3} - 2 x + 1$
38529	Find the Inverse	f(x)=1/2*( natural log of 2x-1)	$f (x) = \frac{1}{2} \cdot (L n (2 x - 1))$
38530	Find the Domain and Range	f(x)=x^3-2x+4	$f (x) = x^{3} - 2 x + 4$
38531	Find the Domain and Range	f(x)=-x^3-3x^2+54x	$f (x) = - x^{3} - 3 x^{2} + 54 x$
38532	Find the Domain and Range	f(x)=-x^3-3x^2+9x+12	$f (x) = - x^{3} - 3 x^{2} + 9 x + 12$
38533	Find the Domain and Range	f(x)=x^3-3x^2-24x+32	$f (x) = x^{3} - 3 x^{2} - 24 x + 32$
38534	Find the Domain and Range	f(x)=x^3-3x^2-24x-10	$f (x) = x^{3} - 3 x^{2} - 24 x - 10$
38535	Find the Domain and Range	f(x)=x^3-3x^2y+6xy^2-9y^3	$f (x) = x^{3} - 3 x^{2} y + 6 x y^{2} - 9 y^{3}$
38536	Find the Domain and Range	f(x)=x^3-3x+1	$f (x) = x^{3} - 3 x + 1$
38537	Find the Domain and Range	f(x)=x^3-3x+5	$f (x) = x^{3} - 3 x + 5$
38538	Find the Domain and Range	f(x)=x^3-3x-1	$f (x) = x^{3} - 3 x - 1$
38539	Find the Domain and Range	f(x)=x^3-4x^2-3x+3	$f (x) = x^{3} - 4 x^{2} - 3 x + 3$
38540	Find the Domain and Range	f(x)=x^3-4x^2-9x+7	$f (x) = x^{3} - 4 x^{2} - 9 x + 7$
38541	Find the Domain and Range	f(x)=x^3-5x^2	$f (x) = x^{3} - 5 x^{2}$
38542	Find the Domain and Range	f(x)=x^3-5x^2+2x-1	$f (x) = x^{3} - 5 x^{2} + 2 x - 1$
38543	Find the Domain and Range	f(x)=x^3-6x^2+1	$f (x) = x^{3} - 6 x^{2} + 1$
38544	Find the Domain and Range	f(x)=x^3-6x^2+12x-11	$f (x) = x^{3} - 6 x^{2} + 12 x - 11$
38545	Find the Domain and Range	f(x)=x^3-6x^2+19x	$f (x) = x^{3} - 6 x^{2} + 19 x$
38546	Find the Domain and Range	f(x)=x^3-6x^2+3x+10	$f (x) = x^{3} - 6 x^{2} + 3 x + 10$
38547	Find the Domain and Range	f(x)=x^3+3x^2-9x-13	$f (x) = x^{3} + 3 x^{2} - 9 x - 13$
38548	Find the Domain and Range	f(x)=-x^3+9x^2-15x-10	$f (x) = - x^{3} + 9 x^{2} - 15 x - 10$
38549	Find the Domain and Range	f(x)=x^3-10x^2+25x	$f (x) = x^{3} - 10 x^{2} + 25 x$
38550	Find the Local Maxima and Minima	y=x^2-4x+3	$y = x^{2} - 4 x + 3$
38551	Find the Domain and Range	f(x)=x^3-18x^2+60x	$f (x) = x^{3} - 18 x^{2} + 60 x$
38552	Find the Domain and Range	f(x)=x^3-18x^2+81x	$f (x) = x^{3} - 18 x^{2} + 81 x$
38553	Find the Domain and Range	f(x)=x^3-2x^2-15x-4	$f (x) = x^{3} - 2 x^{2} - 15 x - 4$
38554	Find the Domain and Range	f(x)=x^3-20x-14	$f (x) = x^{3} - 20 x - 14$
38555	Find the Domain and Range	f(x)=x^3(8e^(8x))+3x^2e^(8x)	$f (x) = x^{3} (8 e^{8 x}) + 3 x^{2} e^{8 x}$
38556	Find the Domain and Range	f(x)=x^3*e^(-x^2)	$f (x) = x^{3} \cdot e^{- x^{2}}$
38557	Find the Domain and Range	f(x)=x^3(x-15)^2	$f (x) = x^{3} {(x - 15)}^{2}$
38558	Find the Domain and Range	f(x)=x^3-15/2x^2-18x-1	$f (x) = x^{3} - \frac{15}{2} x^{2} - 18 x - 1$
38559	Find the Domain and Range	f(x)=x^3+0.5x^2-1.3999x-0.29055	$f (x) = x^{3} + 0.5 x^{2} - 1.3999 x - 0.29055$
38560	Find the Domain and Range	f(x)=x^3+3x^2	$f (x) = x^{3} + 3 x^{2}$
38561	Find the Domain and Range	f(x)=-x^3+3x^2+9x-27	$f (x) = - x^{3} + 3 x^{2} + 9 x - 27$
38562	Find the Domain and Range	f(x)=x^3+3x^2-24x+6	$f (x) = x^{3} + 3 x^{2} - 24 x + 6$
38563	Evaluate the Limit	limit as t approaches 0 of ( square root of t^2+9-3)/(t^2)	$lim_{t \to 0} \frac{\sqrt{t^{2} + 9 - 3}}{t^{2}}$
38564	Find the Domain and Range	f(x)=-x^2+4x-1	$f (x) = - x^{2} + 4 x - 1$
38565	Evaluate the Limit	limit as v approaches 6 of (v^2-6v+8)/(2v^2-8v)	$lim_{v \to 6} \frac{v^{2} - 6 v + 8}{2 v^{2} - 8 v}$
38566	Find the Domain and Range	f(x)=x^2+6x-9	$f (x) = x^{2} + 6 x - 9$
38567	Find the Domain and Range	f(x)=x^2+8x+17	$f (x) = x^{2} + 8 x + 17$
38568	Find the Domain and Range	f(x)=x^2+ natural log of x^2	$f (x) = x^{2} + \ln (x^{2})$
38569	Find the Domain and Range	f(x)=x^(1/11)(x-1)^2	$f (x) = x^{\frac{1}{11}} {(x - 1)}^{2}$
38570	Find the Domain and Range	f(x)=x^(1/3)	$f (x) = x^{\frac{1}{3}}$
38571	Find the Domain and Range	f(x)=x^(4/3)+4x^(1/3)	$f (x) = x^{\frac{4}{3}} + 4 x^{\frac{1}{3}}$
38572	Evaluate the Limit	limit as x approaches pi of (sin(x))/x	$lim_{x \to π} \frac{\sin (x)}{x}$
38573	Find the Domain and Range	f(x)=x^(5/3)-3x^(2/3)	$f (x) = x^{\frac{5}{3}} - 3 x^{\frac{2}{3}}$
38574	Find the Domain and Range	f(x)=x^2-1/x*(1,e)	$f (x) = x^{2} - \frac{1}{x} \cdot (1, e)$
38575	Find the Domain and Range	f(x)=x^2+10x+13	$f (x) = x^{2} + 10 x + 13$
38576	Find the Domain and Range	f(x)=x^2+10x-24	$f (x) = x^{2} + 10 x - 24$
38577	Find the Domain and Range	f(x)=-x^2+280x-5000	$f (x) = - x^{2} + 280 x - 5000$
38578	Find the Domain and Range	f(x)=x^2+36x	$f (x) = x^{2} + 36 x$
38579	Find the Domain and Range	f(x)=x^2+3x-28	$f (x) = x^{2} + 3 x - 28$
38580	Find the Domain and Range	f(x)=x^2-2x-48	$f (x) = x^{2} - 2 x - 48$
38581	Find the Domain and Range	f(x)=x^2-3x+1	$f (x) = x^{2} - 3 x + 1$
38582	Find the Domain and Range	f(x)=x^2-3x-18	$f (x) = x^{2} - 3 x - 18$
38583	Find the Domain and Range	f(x)=-x^2-10x-25	$f (x) = - x^{2} - 10 x - 25$
38584	Find the Domain and Range	f(x)=-x^2-12x	$f (x) = - x^{2} - 12 x$
38585	Find the Domain and Range	f(x)=x^2-12x+35/(x^2+5-6)	$f (x) = x^{2} - 12 x + \frac{35}{x^{2} + 5 - 6}$
38586	Find the Domain and Range	f(x)=x^2-12x+35	$f (x) = x^{2} - 12 x + 35$
38587	Find the Domain and Range	f(x)=x^2-16x-17	$f (x) = x^{2} - 16 x - 17$
38588	Find the Domain and Range	f(x)=x^2-19x-20	$f (x) = x^{2} - 19 x - 20$
38589	Evaluate the Limit	limit as x approaches 1 of (x^10-1)/(x-1)	$lim_{x \to 1} \frac{x^{10} - 1}{x - 1}$
38590	Find the Domain and Range	f(x)=x^2-8x+11	$f (x) = x^{2} - 8 x + 11$
38591	Find the Domain and Range	f(x)=x^2-8x+24	$f (x) = x^{2} - 8 x + 24$
38592	Find the Domain and Range	f(x)=x^2-8xy+y^2+180y+46	$f (x) = x^{2} - 8 x y + y^{2} + 180 y + 46$
38593	Find the Domain and Range	f(x)=x^2-cos(x)	$f (x) = x^{2} - \cos (x)$
38594	Find the Domain and Range	f(x)=x^2-4x+7*cos(x)+2	$f (x) = x^{2} - 4 x + 7 \cdot \cos (x) + 2$
38595	Find the Domain and Range	f(x)=x^2-4x+7cos(x)+2	$f (x) = x^{2} - 4 x + 7 \cos (x) + 2$
38596	Find the Domain and Range	f(x)=e^(-0.5x^2)	$f (x) = e^{- 0.5 x^{2}}$
38597	Find the Domain and Range	f(x)=e^(2x^3)	$f (x) = e^{2 x^{3}}$
38598	Find the Domain and Range	f(x)=e^(2x)	$f (x) = e^{2 x}$
38599	Find the Domain and Range	f(x)=e^(3x)(6-x)	$f (x) = e^{3 x} (6 - x)$
38600	Find the Domain and Range	f(x)=e^(cos(x))	$f (x) = e^{\cos (x)}$