Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5601	Find the Domain and Range	f(x)=(8x)/(x^2-4)	$f (x) = \frac{8 x}{x^{2} - 4}$
5602	Find the Domain and Range	f(x)=(5x)/( cube root of x^3+8)	$f (x) = \frac{5 x}{\sqrt[3]{x^{3} + 8}}$
5603	Find the Domain and Range	f(x)=(5x)/(x^2-9)	$f (x) = \frac{5 x}{x^{2} - 9}$
5604	Find the Domain and Range	f(x)=6/(x-5)	$f (x) = \frac{6}{x - 5}$
5605	Find the Domain and Range	f(x)=6/((x-3)^2)	$f (x) = \frac{6}{{(x - 3)}^{2}}$
5606	Find the Domain and Range	f(x)=5^x+4	$f (x) = 5^{x} + 4$
5607	Find the Domain and Range	f(x)=(6x^2)/(x^2-1)	$f (x) = \frac{6 x^{2}}{x^{2} - 1}$
5608	Find the Domain and Range	f(x)=(6x^2)/(x^2-4)	$f (x) = \frac{6 x^{2}}{x^{2} - 4}$
5609	Find the Domain and Range	f(x)=4/(x+7)	$f (x) = \frac{4}{x + 7}$
5610	Find the Domain and Range	f(x)=(4x)/(x^2-9)	$f (x) = \frac{4 x}{x^{2} - 9}$
5611	Find the Domain and Range	f(x)=(4x-4)/(x+2)	$f (x) = \frac{4 x - 4}{x + 2}$
5612	Find the Domain and Range	f(x)=x^2-2x-5	$f (x) = x^{2} - 2 x - 5$
5613	Find the Domain and Range	f(x)=(x+2)/(x^2+2x-8)	$f (x) = \frac{x + 2}{x^{2} + 2 x - 8}$
5614	Find the Domain and Range	f(x)=(x+x+2)/(x^2-1)+(x+2)/(x^2-2)	$f (x) = \frac{x + x + 2}{x^{2} - 1} + \frac{x + 2}{x^{2} - 2}$
5615	Find the Domain and Range	f(x)=(x-7)/(x-12x+35)	$f (x) = \frac{x - 7}{x - 12 x + 35}$
5616	Find the Domain and Range	f(x)=(x-9)/(x^2-81)	$f (x) = \frac{x - 9}{x^{2} - 81}$
5617	Find the Domain and Range	f(x)=(x-4)/(x(x-4))	$f (x) = \frac{x - 4}{x (x - 4)}$
5618	Find the Domain and Range	f(x)=(x-5)/(x^2-1)	$f (x) = \frac{x - 5}{x^{2} - 1}$
5619	Find the Domain and Range	f(x)=-(2/3)^x	$f (x) = - {(\frac{2}{3})}^{x}$
5620	Find the Domain and Range	f(x)=(x^2-49)/x	$f (x) = \frac{x^{2} - 49}{x}$
5621	Find the Domain and Range	f(x)=(2x)/(x^2-25)	$f (x) = \frac{2 x}{x^{2} - 25}$
5622	Find the Domain and Range	f(x)=(15-2x-x^2)/(x^3-3x^2-28x)	$f (x) = \frac{15 - 2 x - x^{2}}{x^{3} - 3 x^{2} - 28 x}$
5623	Find the Domain and Range	f(x)=((2x^2-2)(x+3))/((x^2-6x+8)(x+3))	$f (x) = \frac{(2 x^{2} - 2) (x + 3)}{(x^{2} - 6 x + 8) (x + 3)}$
5624	Find the Domain	f(x)=(18-x^2)/2	$f (x) = \frac{18 - x^{2}}{2}$
5625	Find the Domain and Range	f(x)=(2^(-(x+1)))	$f (x) = (2^{- (x + 1)})$
5626	Find the Domain and Range	f(x)=(7/8)^(x+5)-6	$f (x) = {(\frac{7}{8})}^{x + 5} - 6$
5627	Find the Domain and Range	(4x)/(x^2-4)	$\frac{4 x}{x^{2} - 4}$
5628	Find the Domain and Range	f(x)=(x^2-25)/(x^2+5x)	$f (x) = \frac{x^{2} - 25}{x^{2} + 5 x}$
5629	Find the Domain and Range	f(x)=(x^2-x)/(x-1)	$f (x) = \frac{x^{2} - x}{x - 1}$
5630	Find the Domain and Range	f(x)=(-x^2-5x+36)/(x^2+16x+63)	$f (x) = \frac{- x^{2} - 5 x + 36}{x^{2} + 16 x + 63}$
5631	Find the Domain and Range	f(x)=(x^2-16)/(x^2-5x+4)	$f (x) = \frac{x^{2} - 16}{x^{2} - 5 x + 4}$
5632	Find the Domain and Range	f(x)=(x^2-25)/(x^2-4x-5)	$f (x) = \frac{x^{2} - 25}{x^{2} - 4 x - 5}$
5633	Find the Domain and Range	f(x)=(x^2-8x-20)/(x^2-14x+40)	$f (x) = \frac{x^{2} - 8 x - 20}{x^{2} - 14 x + 40}$
5634	Find the Domain and Range	f(x)=(x^2-1)/(x^4-16)	$f (x) = \frac{x^{2} - 1}{x^{4} - 16}$
5635	Find the Domain and Range	f(x)=(x^2+x-20)/(x-7)	$f (x) = \frac{x^{2} + x - 20}{x - 7}$
5636	Find the Domain and Range	f(x)=(x^2+x-56)/(x^2-x-42)	$f (x) = \frac{x^{2} + x - 56}{x^{2} - x - 42}$
5637	Find the Domain and Range	f(x)=(x^2+8x-3)/(x-3)	$f (x) = \frac{x^{2} + 8 x - 3}{x - 3}$
5638	Find the Domain and Range	f(x)=(x^2+4x-3)/(x-6)	$f (x) = \frac{x^{2} + 4 x - 3}{x - 6}$
5639	Find the Domain and Range	f(x)=(x^2+7x-4)/(x-8)	$f (x) = \frac{x^{2} + 7 x - 4}{x - 8}$
5640	Find the Domain and Range	f(x)=(x^2+x-12)/(x-6)	$f (x) = \frac{x^{2} + x - 12}{x - 6}$
5641	Find the Domain and Range	f(x)=(x^2+4x-5)/(x^2-9)	$f (x) = \frac{x^{2} + 4 x - 5}{x^{2} - 9}$
5642	Find the Domain and Range	f(x)=(4/3)^(-(0))	$f (x) = {(\frac{4}{3})}^{- (0)}$
5643	Find the Domain and Range	f(x)=((x-9)(x+7))/(x^2-4)	$f (x) = \frac{(x - 9) (x + 7)}{x^{2} - 4}$
5644	Find the Domain and Range	f(x)=((x-3)(x+4))/(x^2-1)	$f (x) = \frac{(x - 3) (x + 4)}{x^{2} - 1}$
5645	Find the Domain and Range	f(x)=((x-6)(x+6))/(x^2-9)	$f (x) = \frac{(x - 6) (x + 6)}{x^{2} - 9}$
5646	Find the Domain and Range	f(x)=(x^2+3x-10)/(x^2-5x-14)	$f (x) = \frac{x^{2} + 3 x - 10}{x^{2} - 5 x - 14}$
5647	Find the Domain and Range	f(x)=(x^2+3x-4)/x	$f (x) = \frac{x^{2} + 3 x - 4}{x}$
5648	Find the Domain and Range	f(x)=(10/9)^(-x)	$f (x) = {(\frac{10}{9})}^{- x}$
5649	Find the Domain and Range	3/(x^2-1)	$\frac{3}{x^{2} - 1}$
5650	Find the Domain and Range	(2x^2-5x-12)/(3x^2-11x-4)	$\frac{2 x^{2} - 5 x - 12}{3 x^{2} - 11 x - 4}$
5651	Find the Domain and Range	(x^2-x-6)/(x-4)	$\frac{x^{2} - x - 6}{x - 4}$
5652	Find the Domain and Range	arctan(-( square root of 3)/3)	$\arctan (- \frac{\sqrt{3}}{3})$
5653	Find the Domain and Range	x/(x-1)	$\frac{x}{x - 1}$
5654	Find the Domain	p(t)=1/(t^2-4)	$p (t) = \frac{1}{t^{2} - 4}$
5655	Find the Domain	m(x)=1/( square root of x-2)	$m (x) = \frac{1}{\sqrt{x - 2}}$
5656	Find the Domain	h(x) = square root of -x-5	$h (x) = \sqrt{- x - 5}$
5657	Find the Domain	h(z)=1/( square root of z)	$h (z) = \frac{1}{\sqrt{z}}$
5658	Find the Domain	R(x)=(3(x^2-x-6))/(4(x^2-9))	$R (x) = \frac{3 (x^{2} - x - 6)}{4 (x^{2} - 9)}$
5659	Find the Domain	v(x) = square root of 35-7x	$v (x) = \sqrt{35 - 7 x}$
5660	Find the Domain	f(n)=n/(12-3n)	$f (n) = \frac{n}{12 - 3 n}$
5661	Find the Domain	f(x)=(x-3)/(x^2-9)	$f (x) = \frac{x - 3}{x^{2} - 9}$
5662	Find the Domain	f(x)=2 square root of x+5-2	$f (x) = 2 \sqrt{x + 5} - 2$
5663	Find the Domain	g(x)=3/x	$g (x) = \frac{3}{x}$
5664	Find the Domain	f(x)=3x-6	$f (x) = 3 x - 6$
5665	Find the Domain	f(x)=(x^2)/(x^2+x-56)	$f (x) = \frac{x^{2}}{x^{2} + x - 56}$
5666	Find the Inverse	y = log base 3 of 3x	$y = \log_{3} (3 x)$
5667	Find the Domain	f(x)=( square root of x-5)/(x-7)	$f (x) = \frac{\sqrt{x - 5}}{x - 7}$
5668	Find the Domain	f(x)=( square root of x+1)/x	$f (x) = \frac{\sqrt{x + 1}}{x}$
5669	Find the Domain	f(x)=(x^2)/(x^2-4)	$f (x) = \frac{x^{2}}{x^{2} - 4}$
5670	Find the Domain	square root of 36-x^2	$\sqrt{36 - x^{2}}$
5671	Find the Domain	f(x)=( square root of x-1)/(x-4)	$f (x) = \frac{\sqrt{x - 1}}{x - 4}$
5672	Find the Domain	y=x^3	$y = x^{3}$
5673	Find the Domain	f(x)=1/( square root of x-3)	$f (x) = \frac{1}{\sqrt{x - 3}}$
5674	Find the Domain	square root of 4-x+ square root of x^2-1	$\sqrt{4 - x} + \sqrt{x^{2} - 1}$
5675	Find the Domain	f(x)=13/(10-x)	$f (x) = \frac{13}{10 - x}$
5676	Find the Domain	f(x)=1/(x-6)	$f (x) = \frac{1}{x - 6}$
5677	Find the Domain	-x^4+x^3+9x	$- x^{4} + x^{3} + 9 x$
5678	Find the Domain	f(x)=(3x^2-14x-5)/(x-5)	$f (x) = \frac{3 x^{2} - 14 x - 5}{x - 5}$
5679	Find the Domain	f(x)=(3x)/(x^2-25)	$f (x) = \frac{3 x}{x^{2} - 25}$
5680	Find the Domain	cube root of x-2	$\sqrt[3]{x - 2}$
5681	Find the Domain	f(x) = square root of 3x-12	$f (x) = \sqrt{3 x - 12}$
5682	Find the Domain	f(x) = square root of 2x-5	$f (x) = \sqrt{2 x - 5}$
5683	Find the Domain	f(x) = square root of 13-x	$f (x) = \sqrt{13 - x}$
5684	Find the Domain	f(x) = square root of 10-2x	$f (x) = \sqrt{10 - 2 x}$
5685	Find the Domain	f(x) = square root of x^3+8x^2+19x+12	$f (x) = \sqrt{x^{3} + 8 x^{2} + 19 x + 12}$
5686	Find the Domain	f(x) = square root of 15-3x	$f (x) = \sqrt{15 - 3 x}$
5687	Find the Domain	f(x) = square root of x^2-49	$f (x) = \sqrt{x^{2} - 49}$
5688	Find the Domain	f(x) = square root of x^2+4	$f (x) = \sqrt{x^{2} + 4}$
5689	Find the Domain	f(x)=6/( square root of x-5)	$f (x) = \frac{6}{\sqrt{x - 5}}$
5690	Find the Domain	f(x) = log of x+3	$f (x) = \log (x + 3)$
5691	Find the Domain	f(x) = log base 3 of 2x+1-2	$f (x) = \log_{3} (2 x + 1) - 2$
5692	Find the Domain	f(x) = log base 7 of x-8	$f (x) = \log_{7} (x - 8)$
5693	Find the Domain	f(x)=5/x	$f (x) = \frac{5}{x}$
5694	Find the Domain	f(x)=(x+2)/( square root of x-10)	$f (x) = \frac{x + 2}{\sqrt{x - 10}}$
5695	Find the Domain	f(x) = cube root of t-1	$f (x) = \sqrt[3]{t - 1}$
5696	Find the Domain	f(x)=(2x)/(x^2-4)	$f (x) = \frac{2 x}{x^{2} - 4}$
5697	Find the Domain	f(x)=- cube root of x	$f (x) = - \sqrt[3]{x}$
5698	Find the Domain	f(x) = square root of x-8	$f (x) = \sqrt{x - 8}$
5699	Find the Domain	f(x)=1/(x-3)	$f (x) = \frac{1}{x - 3}$
5700	Find the Domain	(8x+12)/(x^2+5x+4)	$\frac{8 x + 12}{x^{2} + 5 x + 4}$