Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15401	Find the Domain	xe^(-2x^2)	$x e^{- 2 x^{2}}$
15402	Find the Domain	3x+2y-2=0	$3 x + 2 y - 2 = 0$
15403	Find the Domain	arccos(1-3x)	$\arccos (1 - 3 x)$
15404	Find the Domain	9x^4	$9 x^{4}$
15405	Find the Domain	4x^16-18x^7+2	$4 x^{16} - 18 x^{7} + 2$
15406	Find the Domain	60e^(0.12t)=120e^(0.10t)	$60 e^{0.12 t} = 120 e^{0.1 t}$
15407	Find the Domain	f(x) square root of 1-2x	$f (x) \sqrt{1 - 2 x}$
15408	Find the Domain	f(x)=- square root of x-5+10	$f (x) = - \sqrt{x - 5} + 10$
15409	Find the Domain	cos(1-5x)	$\cos (1 - 5 x)$
15410	Find the Domain	f(x)=(1-e^(x^2))/(1-e^(1-x^2))	$f (x) = \frac{1 - e^{x^{2}}}{1 - e^{1 - x^{2}}}$
15411	Find the Domain	f(x)=(3x-3)/(x+3)	$f (x) = \frac{3 x - 3}{x + 3}$
15412	Find the Domain	f(x)=(x-6)(x^2-12x-72)	$f (x) = (x - 6) (x^{2} - 12 x - 72)$
15413	Find the Domain	f(x)=(6x+17)/(x+7)	$f (x) = \frac{6 x + 17}{x + 7}$
15414	Find the Domain	1/( fourth root of x^2-6x)	$\frac{1}{\sqrt[4]{x^{2} - 6 x}}$
15415	Find the Domain	fifth root of x-6	$\sqrt[5]{x - 6}$
15416	Find the Domain	x/(1- natural log of x-9)	$\frac{x}{1 - \ln (x - 9)}$
15417	Find the Domain	cube root of x-7	$\sqrt[3]{x - 7}$
15418	Find the Domain	sixth root of x	$\sqrt[6]{x}$
15419	Find the Domain	square root of 1-2^t	$\sqrt{1 - 2^{t}}$
15420	Find the Domain	cube root of 4t-6	$\sqrt[3]{4 t - 6}$
15421	Find the Domain	square root of 225-x^2	$\sqrt{225 - x^{2}}$
15422	Find the Domain	square root of 5-x- square root of x^2-9	$\sqrt{5 - x} - \sqrt{x^{2} - 9}$
15423	Find the Domain	square root of x^2-2x-3	$\sqrt{x^{2} - 2 x - 3}$
15424	Find the Domain	(2x+1)/(x^2+x-30)	$\frac{2 x + 1}{x^{2} + x - 30}$
15425	Find the Domain	log base 2 of x+6	$\log_{2} (x + 6)$
15426	Find the Domain	(6+x)/(e^(cos(x)))	$\frac{6 + x}{e^{\cos (x)}}$
15427	Find the Domain	-(7t^(-3/2))/2	$- \frac{7 t^{- \frac{3}{2}}}{2}$
15428	Find the Domain	(2x^3-5)/(x^2+x-6)	$\frac{2 x^{3} - 5}{x^{2} + x - 6}$
15429	Find the Domain	(2x)/(x^2+1)	$\frac{2 x}{x^{2} + 1}$
15430	Find the Domain	5/(1- square root of 5x-9)	$\frac{5}{1 - \sqrt{5 x - 9}}$
15431	Find the Domain	1/(x^2+3x+2)	$\frac{1}{x^{2} + 3 x + 2}$
15432	Find the Domain	1/(sin(2x))	$\frac{1}{\sin (2 x)}$
15433	Find the Domain	(1-4t)/(6+t)	$\frac{1 - 4 t}{6 + t}$
15434	Find the Domain	1800/(x-40)	$\frac{1800}{x - 40}$
15435	Find the Domain	-(3t^(-3/2))/2	$- \frac{3 t^{- \frac{3}{2}}}{2}$
15436	Divide Using Long Polynomial Division	(x^3-10x^2+20x-9)/(x-2)	$\frac{x^{3} - 10 x^{2} + 20 x - 9}{x - 2}$
15437	Find the Domain	(x^2+1)/(2x^2-x-1)	$\frac{x^{2} + 1}{2 x^{2} - x - 1}$
15438	Find the Domain	(x^2+14x+1)/((x+1)^2)	$\frac{x^{2} + 14 x + 1}{{(x + 1)}^{2}}$
15439	Find the Domain	(x^2-4)/(x-2)	$\frac{x^{2} - 4}{x - 2}$
15440	Find the Domain	1/( cube root of x^4)	$\frac{1}{\sqrt[3]{x^{4}}}$
15441	Find the Domain	1/( fourth root of x^2-3x)	$\frac{1}{\sqrt[4]{x^{2} - 3 x}}$
15442	Find the Domain	1/(3- natural log of x)	$\frac{1}{3 - \ln (x)}$
15443	Find the Domain	f(x)=x^2-2x-3	$f (x) = x^{2} - 2 x - 3$
15444	Find the Domain	f(x)=x^4+2x^2-2	$f (x) = x^{4} + 2 x^{2} - 2$
15445	Find the Domain	f(x)=x^4-6x^2	$f (x) = x^{4} - 6 x^{2}$
15446	Find the Domain	f(x)=(x-2)/(e^x-1)	$f (x) = \frac{x - 2}{e^{x} - 1}$
15447	Find the Domain	f(x)=(x+3)/(2x^2-x-3)	$f (x) = \frac{x + 3}{2 x^{2} - x - 3}$
15448	Find the Domain	f(x)=x^3-15x^2	$f (x) = x^{3} - 15 x^{2}$
15449	Find the Domain	f(x)=x/( square root of 9-x^2)	$f (x) = \frac{x}{\sqrt{9 - x^{2}}}$
15450	Evaluate the Integral	integral of 2t^-10 with respect to t	$\int 2 t^{- 10} d t$
15451	Find the Domain	f(x) = square root of x+121	$f (x) = \sqrt{x + 121}$
15452	Find the Domain	f(x) = square root of x+25	$f (x) = \sqrt{x + 25}$
15453	Find the Domain	-1/(2(7-x)^(1/2))	$- \frac{1}{2 {(7 - x)}^{\frac{1}{2}}}$
15454	Find the Domain	f(x)=x/(1-x^2)	$f (x) = \frac{x}{1 - x^{2}}$
15455	Find the Domain	f(x)=x/(cos(x))	$f (x) = \frac{x}{\cos (x)}$
15456	Find the Domain	f(x)=3x-17	$f (x) = 3 x - 17$
15457	Find the Domain	f(x)=2-3x^2	$f (x) = 2 - 3 x^{2}$
15458	Find the Domain	f(x)=(x+5)/(x-5)	$f (x) = \frac{x + 5}{x - 5}$
15459	Find the Domain	f(x)=2x(x-2)^3	$f (x) = 2 x {(x - 2)}^{3}$
15460	Evaluate the Integral	integral of sin(x)x^2 with respect to x	$\int \sin (x) x^{2} d x$
15461	Find the Domain	f(x) = natural log of 6-9x	$f (x) = \ln (6 - 9 x)$
15462	Find the Domain	f(x)=6 natural log of x	$f (x) = 6 \ln (x)$
15463	Find the Domain	f(x)=6x+3	$f (x) = 6 x + 3$
15464	Find the Domain	f(x)=arcsin(e^x)	$f (x) = \arcsin (e^{x})$
15465	Find the Domain	f(x)=csc(2x)	$f (x) = \csc (2 x)$
15466	Find the Domain	f(x) = natural log of x^2+1	$f (x) = \ln (x^{2} + 1)$
15467	Find the Domain	f(x) = natural log of x^2-2x+1	$f (x) = \ln (x^{2} - 2 x + 1)$
15468	Find the Domain	f(x)=1/( fourth root of x^2-5x)	$f (x) = \frac{1}{\sqrt[4]{x^{2} - 5 x}}$
15469	Find the Domain	f(x)=(1+e^x)/(1-e^x)	$f (x) = \frac{1 + e^{x}}{1 - e^{x}}$
15470	Find the Domain	f(x)=48000/(100-x)	$f (x) = \frac{48000}{100 - x}$
15471	Find the Domain	f(x)=(x^2-9)/(x^2-4)	$f (x) = \frac{x^{2} - 9}{x^{2} - 4}$
15472	Evaluate the Integral	integral of sin(4x)cos(3x) with respect to x	$\int \sin (4 x) \cos (3 x) d x$
15473	Find the Domain	f(x)=1/10x-1/8	$f (x) = \frac{1}{10} x - \frac{1}{8}$
15474	Find the Domain	x^3-2	$x^{3} - 2$
15475	Find the Domain	f(x) = square root of x^2-3	$f (x) = \sqrt{x^{2} - 3}$
15476	Find the Domain	f(x) = square root of x^2-3x	$f (x) = \sqrt{x^{2} - 3 x}$
15477	Find the Domain	f(x) = square root of x^2-3x+2	$f (x) = \sqrt{x^{2} - 3 x + 2}$
15478	Find the Domain	f(x) = square root of x^2-5x-14	$f (x) = \sqrt{x^{2} - 5 x - 14}$
15479	Find the Domain	square root of 3-x+ square root of x^2-4	$\sqrt{3 - x} + \sqrt{x^{2} - 4}$
15480	Find the Domain	f(x)=(sin(x))/x	$f (x) = \frac{\sin (x)}{x}$
15481	Find the Domain	f(x) = log base 2 of x	$f (x) = \log_{2} (x)$
15482	Find the Domain	f(x)=9/( square root of x)	$f (x) = \frac{9}{\sqrt{x}}$
15483	Find the Domain	f(x)=(3x-5)/( fifth root of 5x-15)	$f (x) = \frac{3 x - 5}{\sqrt[5]{5 x - 15}}$
15484	Find the Domain	f(x)=60/(x-4)	$f (x) = \frac{60}{x - 4}$
15485	Find the Domain	f(x) = square root of 2- square root of x	$f (x) = \sqrt{2 - \sqrt{x}}$
15486	Find the Domain	f(x) = square root of sin(pi(x-1))+ square root of 4-x^2	$f (x) = \sqrt{\sin (π (x - 1))} + \sqrt{4 - x^{2}}$
15487	Find the Domain	y = square root of 49-x^2	$y = \sqrt{49 - x^{2}}$
15488	Find the Domain	y=9/5x+32	$y = \frac{9}{5} x + 32$
15489	Find the Domain	x-y^2=0	$x - y^{2} = 0$
15490	Find the Domain	y=arctan(tan(x))	$y = \arctan (\tan (x))$
15491	Find the Domain	y = square root of x^2-4	$y = \sqrt{x^{2} - 4}$
15492	Find the Domain	y = square root of 24+2x-x^2	$y = \sqrt{24 + 2 x - x^{2}}$
15493	Find the Domain	y = square root of 25-x^2	$y = \sqrt{25 - x^{2}}$
15494	Find the Domain	y=(x^3)/(x-2)	$y = \frac{x^{3}}{x - 2}$
15495	Find the Domain	sin(x^2)	$\sin (x^{2})$
15496	Find the Domain	y=1000(1-(t/50))^2	$y = 1000 {(1 - (\frac{t}{50}))}^{2}$
15497	Find the Domain	y=5x square root of 16-x^2	$y = 5 x \sqrt{16 - x^{2}}$
15498	Find the Domain	y = square root of 36-x^2	$y = \sqrt{36 - x^{2}}$
15499	Find the Domain	y=arcsin(e^x)	$y = \arcsin (e^{x})$
15500	Find the Domain	y=mx+b	$y = m x + b$