Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2501	Find the Domain	4/(x-5)	$\frac{4}{x - 5}$
2502	Find the Domain	f(x)=5 natural log of x	$f (x) = 5 \ln (x)$
2503	Find the Domain	f(x)=-5arctan(x)	$f (x) = - 5 \arctan (x)$
2504	Find the Domain	square root of 9-x^2	$\sqrt{9 - x^{2}}$
2505	Find the Domain	g(x)=1/x-3/(x+2)	$g (x) = \frac{1}{x} - \frac{3}{x + 2}$
2506	Find the Domain	f(x)=cos(arccos(x))	$f (x) = \cos (\arccos (x))$
2507	Find the Domain	f(x) = natural log of x^2+2x-3	$f (x) = \ln (x^{2} + 2 x - 3)$
2508	Find the Domain	y=x^2+4	$y = x^{2} + 4$
2509	Find the Domain	f(x)=(x+2)/(x^2-1)	$f (x) = \frac{x + 2}{x^{2} - 1}$
2510	Find the Domain	( square root of x)/(5x^2+4x-1)	$\frac{\sqrt{x}}{5 x^{2} + 4 x - 1}$
2511	Find the Domain	f(x)=x/(x^2-64)	$f (x) = \frac{x}{x^{2} - 64}$
2512	Find the Domain	h(x)=4/(3/x-1)	$h (x) = \frac{4}{\frac{3}{x} - 1}$
2513	Find the Domain	h(x)=( square root of 4-x^2)/(x-3)	$h (x) = \frac{\sqrt{4 - x^{2}}}{x - 3}$
2514	Find the Domain	g(x)=(x+9)/(x^2-16)	$g (x) = \frac{x + 9}{x^{2} - 16}$
2515	Find the Domain	g(x)=(2x)/(x^2-9)	$g (x) = \frac{2 x}{x^{2} - 9}$
2516	Find the Domain	g(x)=x/(x^2-16)	$g (x) = \frac{x}{x^{2} - 16}$
2517	Find the Domain	h(x)=(9x)/(x(x^2-36))	$h (x) = \frac{9 x}{x (x^{2} - 36)}$
2518	Find the Domain	x=-4	$x = - 4$
2519	Find the Domain	y=7^(x+6)	$y = 7^{x + 6}$
2520	Find the Domain	sin(arccos(x))	$\sin (\arccos (x))$
2521	Find the Domain	log of x- log of 4 = log of 4- log of x+4	$\log (x) - \log (4) = \log (4) - \log (x + 4)$
2522	Find the Domain	sin(x)	$\sin (x)$
2523	Split Using Partial Fraction Decomposition	1/(4x^2-9)	$\frac{1}{4 x^{2} - 9}$
2524	Split Using Partial Fraction Decomposition	(x^4+x^2+1)/(x^2(2x^2+3)^2)	$\frac{x^{4} + x^{2} + 1}{x^{2} {(2 x^{2} + 3)}^{2}}$
2525	Split Using Partial Fraction Decomposition	(x^2)/(x^4-2x^2-8)	$\frac{x^{2}}{x^{4} - 2 x^{2} - 8}$
2526	Split Using Partial Fraction Decomposition	(x^2+12x+12)/(x^3-4x)	$\frac{x^{2} + 12 x + 12}{x^{3} - 4 x}$
2527	Split Using Partial Fraction Decomposition	(x^2-11x-18)/(x(x^2+3x+3))	$\frac{x^{2} - 11 x - 18}{x (x^{2} + 3 x + 3)}$
2528	Split Using Partial Fraction Decomposition	160/(5+65e^(-0.55*1000000))	$\frac{160}{5 + 65 e^{- 0.55 \cdot 1000000}}$
2529	Split Using Partial Fraction Decomposition	(11x-10)/((x-2)(x+1))	$\frac{11 x - 10}{(x - 2) (x + 1)}$
2530	Split Using Partial Fraction Decomposition	15/(x(x-5))	$\frac{15}{x (x - 5)}$
2531	Split Using Partial Fraction Decomposition	20/(x(x-5))	$\frac{20}{x (x - 5)}$
2532	Split Using Partial Fraction Decomposition	3/(x^2-3x)	$\frac{3}{x^{2} - 3 x}$
2533	Find the Domain	y = log base 3 of x+2	$y = \log_{3} (x + 2)$
2534	Find the Domain	y = log base 5 of x	$y = \log_{5} (x)$
2535	Find the Domain	y=tan(x)	$y = \tan (x)$
2536	Find the Domain	y=e^(-x)-2	$y = e^{- x} - 2$
2537	Find the Domain	y = log base 2 of x+2	$y = \log_{2} (x) + 2$
2538	Find the Domain	y = log of 3-2x	$y = \log (3 - 2 x)$
2539	Find the Domain	( square root of x)/(4x^2+3x-1)	$\frac{\sqrt{x}}{4 x^{2} + 3 x - 1}$
2540	Find the Domain	y = log of x+3	$y = \log (x + 3)$
2541	Find the Domain	y=sec(2x)	$y = \sec (2 x)$
2542	Find the Domain	y=tan(pi/3x)	$y = \tan (\frac{π}{3} x)$
2543	Find the Domain	y=tan(pi/5x)	$y = \tan (\frac{π}{5} x)$
2544	Find the Domain	f(x)=(3x^2-12x)/(x^2-2x-3)	$f (x) = \frac{3 x^{2} - 12 x}{x^{2} - 2 x - 3}$
2545	Find the Domain	f(x)=(3x)/(x^2-4)	$f (x) = \frac{3 x}{x^{2} - 4}$
2546	Find the Domain	f(x)=(3x-1)/((x+3)(x-1))	$f (x) = \frac{3 x - 1}{(x + 3) (x - 1)}$
2547	Find the Domain	f(x)=1/(x+4)	$f (x) = \frac{1}{x + 4}$
2548	Find the Domain	f(x)=1/(x-1)	$f (x) = \frac{1}{x - 1}$
2549	Find the Domain	f(x)=1/x	$f (x) = \frac{1}{x}$
2550	Find the Domain	f(x)=(x^2-x-6)/(x^2-2x-3)	$f (x) = \frac{x^{2} - x - 6}{x^{2} - 2 x - 3}$
2551	Find the Domain	( square root of x)/(8x^2+7x-1)	$\frac{\sqrt{x}}{8 x^{2} + 7 x - 1}$
2552	Find the Domain	f(x)=1/(x^2-x-6)	$f (x) = \frac{1}{x^{2} - x - 6}$
2553	Find the Domain	f(x) = square root of 3x-6	$f (x) = \sqrt{3 x - 6}$
2554	Find the Domain	f(x)=3- square root of 6-2x	$f (x) = 3 - \sqrt{6 - 2 x}$
2555	Find the Domain	f(x)=(2x^3-250)/(x^2-2x-15)	$f (x) = \frac{2 x^{3} - 250}{x^{2} - 2 x - 15}$
2556	Find the Domain	f(x) = square root of 3-2x	$f (x) = \sqrt{3 - 2 x}$
2557	Find the Domain	square root of x^2-3	$\sqrt{x^{2} - 3}$
2558	Find the Domain	g(x) = square root of x	$g (x) = \sqrt{x}$
2559	Find the Domain	h(x)=(2x)/(x^2-4)	$h (x) = \frac{2 x}{x^{2} - 4}$
2560	Find the Domain	h(x)=5/( square root of 2x+10)	$h (x) = \frac{5}{\sqrt{2 x + 10}}$
2561	Find the Domain	f(x)=6/(x^2-x-6)	$f (x) = \frac{6}{x^{2} - x - 6}$
2562	Find the Domain	f(x)=(4x)/(6x^2+13x-5)	$f (x) = \frac{4 x}{6 x^{2} + 13 x - 5}$
2563	Find the Domain	f(x)=(x^2-9x+18)/(x+3)	$f (x) = \frac{x^{2} - 9 x + 18}{x + 3}$
2564	Find the Domain	f(x)=(x^2+x-30)/(x^2-x-20)	$f (x) = \frac{x^{2} + x - 30}{x^{2} - x - 20}$
2565	Find the Domain	x/(x^2-9)	$\frac{x}{x^{2} - 9}$
2566	Find the Domain	square root of x-8	$\sqrt{x - 8}$
2567	Find the Domain	cube root of x	$\sqrt[3]{x}$
2568	Find the Domain	fourth root of 6x+15	$\sqrt[4]{6 x + 15}$
2569	Find the Domain	x/(x^2-5x)	$\frac{x}{x^{2} - 5 x}$
2570	Find the Domain	x/(x^2-25)	$\frac{x}{x^{2} - 25}$
2571	Find the Domain	x/( square root of x-7)	$\frac{x}{\sqrt{x - 7}}$
2572	Find the Domain	cube root of x-1	$\sqrt[3]{x - 1}$
2573	Find the Domain	square root of 9-x^2- square root of x^2-4	$\sqrt{9 - x^{2}} - \sqrt{x^{2} - 4}$
2574	Find the Domain	square root of 3x-27	$\sqrt{3 x - 27}$
2575	Find the Domain	square root of 3x^2-5x+2	$\sqrt{3 x^{2} - 5 x + 2}$
2576	Find the Domain	(x+1)/(x^2-1)	$\frac{x + 1}{x^{2} - 1}$
2577	Find the Domain	(x-3)/(x^2-9)	$\frac{x - 3}{x^{2} - 9}$
2578	Find the Domain	(x+3)/(x-4)	$\frac{x + 3}{x - 4}$
2579	Find the Domain	(x+6)/(x^2-9)	$\frac{x + 6}{x^{2} - 9}$
2580	Find the Domain	(x-5)/(x-2)	$\frac{x - 5}{x - 2}$
2581	Find the Domain	2x^2-x-1	$2 x^{2} - x - 1$
2582	Solve for x	\|x-20\|=4	$\| x - 20 \| = 4$
2583	Solve for t	16t^2=1064	$16 t^{2} = 1064$
2584	Solve for x	(x-1)(x+2)=0	$(x - 1) (x + 2) = 0$
2585	Solve for X	(1/4)^X=64	${(\frac{1}{4})}^{X} = 64$
2586	Simplify	\| square root of 5-5\|	$\| \sqrt{5} - 5 \|$
2587	Solve for a	3+ square root of 4a-5=10	$3 + \sqrt{4 a - 5} = 10$
2588	Simplify	tan(x)-sec(x)cos(x)(1-2cos(x)^2)	$\tan (x) - \sec (x) \cos (x) (1 - 2 \cos^{2} (x))$
2589	Simplify	tan(pi)-sin(0)	$\tan (π) - \sin (0)$
2590	Simplify	tan(x)(cot(x)-csc(x))	$\tan (x) (\cot (x) - \csc (x))$
2591	Simplify	tan(-x)tan(pi/2-x)	$\tan (- x) \tan (\frac{π}{2} - x)$
2592	Simplify	tan((2pi)/5)	$\tan (\frac{2 π}{5})$
2593	Simplify	tan((3pi)/11)	$\tan (\frac{3 π}{11})$
2594	Simplify	tan((7pi)/4)+tan((5pi)/4)	$\tan (\frac{7 π}{4}) + \tan (\frac{5 π}{4})$
2595	Simplify	tan((7pi)/2)	$\tan (\frac{7 π}{2})$
2596	Simplify	(1+8/(c-1))/(1-8/(c-1))	$\frac{1 + \frac{8}{c - 1}}{1 - \frac{8}{c - 1}}$
2597	Simplify	tan(pi/4)+cot(pi/4)	$\tan (\frac{π}{4}) + \cot (\frac{π}{4})$
2598	Simplify	tan(2arccos(x/6))	$\tan (2 \arccos (\frac{x}{6}))$
2599	Simplify	tan(A)+cot(A)	$\tan (A) + \cot (A)$
2600	Simplify	tan(9)	$\tan (9)$