Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
13301	Find the Domain	f(x) = square root of 3x-21	$f (x) = \sqrt{3 x - 21}$
13302	Find the Domain	y = square root of x^2-1	$y = \sqrt{x^{2} - 1}$
13303	Find the Domain	f(x) = square root of 4x-x^2	$f (x) = \sqrt{4 x - x^{2}}$
13304	Convert from Degrees to Radians	tan(240)	$\tan (240)$
13305	Find the Domain	g(a) = square root of 1+a^2	$g (a) = \sqrt{1 + a^{2}}$
13306	Find the Domain	f(x) = square root of 5x-10	$f (x) = \sqrt{5 x - 10}$
13307	Find the Domain	f(x) = square root of 5x-15	$f (x) = \sqrt{5 x - 15}$
13308	Find the Domain	f(x) = square root of 5x-25	$f (x) = \sqrt{5 x - 25}$
13309	Find the Domain	f(x) = square root of 5x-45	$f (x) = \sqrt{5 x - 45}$
13310	Find the Domain	f(x) = square root of 4x-3	$f (x) = \sqrt{4 x - 3}$
13311	Find the Domain	1/(x-5)	$\frac{1}{x - 5}$
13312	Find the Domain	f(x)=2/(x^2-8x)	$f (x) = \frac{2}{x^{2} - 8 x}$
13313	Find the Domain	f(x)=2/x	$f (x) = \frac{2}{x}$
13314	Find the Domain	f(x)=2/(x^2+2x-24)	$f (x) = \frac{2}{x^{2} + 2 x - 24}$
13315	Find the Domain	f(x)=(2x^2-1)/(3x-1)	$f (x) = \frac{2 x^{2} - 1}{3 x - 1}$
13316	Find the Domain	f(x)=12/(13-x)	$f (x) = \frac{12}{13 - x}$
13317	Find the Domain	f(x)=1/(x-5)	$f (x) = \frac{1}{x - 5}$
13318	Find the Domain	f(x)=1/(x-8)	$f (x) = \frac{1}{x - 8}$
13319	Find the Domain	f(x)=(2x^2)/(x^2-1)	$f (x) = \frac{2 x^{2}}{x^{2} - 1}$
13320	Find the Domain	f(x)=(2x^2-5x+2)/(x^2-4)	$f (x) = \frac{2 x^{2} - 5 x + 2}{x^{2} - 4}$
13321	Find the Domain	f(x)=1/( square root of x+2)	$f (x) = \frac{1}{\sqrt{x + 2}}$
13322	Find the Domain	f(x)=1/( square root of 5x+7)	$f (x) = \frac{1}{\sqrt{5 x + 7}}$
13323	Find the Domain	( square root of x-1)/(x-4)	$\frac{\sqrt{x - 1}}{x - 4}$
13324	Find the Domain	f(x)=1/(x^2-2x-8)	$f (x) = \frac{1}{x^{2} - 2 x - 8}$
13325	Find the Domain	f(x)=1/(3x-6)	$f (x) = \frac{1}{3 x - 6}$
13326	Find the Domain	f(x)=1/(5x-20)	$f (x) = \frac{1}{5 x - 20}$
13327	Find the Domain	f(x)=(3x)/(x^2-16)	$f (x) = \frac{3 x}{x^{2} - 16}$
13328	Find the Center and Radius	(x-5)^2+(y+1)^2=4	${(x - 5)}^{2} + {(y + 1)}^{2} = 4$
13329	Find the Domain	f(x)=(3x-6)/(2x^2+9x+4)	$f (x) = \frac{3 x - 6}{2 x^{2} + 9 x + 4}$
13330	Find the Domain	f(x)=(3x+1)/(4x+2)	$f (x) = \frac{3 x + 1}{4 x + 2}$
13331	Find the Domain	f(x)=3/(x+4)	$f (x) = \frac{3}{x + 4}$
13332	Find the Domain	f(x)=(3x^3+5x-7)/(2x^2-18)	$f (x) = \frac{3 x^{3} + 5 x - 7}{2 x^{2} - 18}$
13333	Find the Domain	f(x)=(2x(x+3))/((x-2)(x-5))	$f (x) = \frac{2 x (x + 3)}{(x - 2) (x - 5)}$
13334	Find the Domain	f(x) = square root of 4-3x	$f (x) = \sqrt{4 - 3 x}$
13335	Find the Domain	f(x)=(2x)/((x-2) square root of x+3)	$f (x) = \frac{2 x}{(x - 2) \sqrt{x + 3}}$
13336	Find the Domain	f(x)=(2x)/(x^2-2x-8)	$f (x) = \frac{2 x}{x^{2} - 2 x - 8}$
13337	Find the Domain	f(x)=(2x+3)/(3x-2)	$f (x) = \frac{2 x + 3}{3 x - 2}$
13338	Find the Domain	f(x)=(2x)/(6-5x)	$f (x) = \frac{2 x}{6 - 5 x}$
13339	Find the Domain	f(x)=(2x+1)/(x-1)	$f (x) = \frac{2 x + 1}{x - 1}$
13340	Find the Domain	arcsin( square root of (2x)/(1-2x))	$\arcsin (\sqrt{\frac{2 x}{1 - 2 x}})$
13341	Determine if Odd, Even, or Neither	f(x)=x^5+x^3	$f (x) = x^{5} + x^{3}$
13342	Find the Domain	y=tan(pi/13x)	$y = \tan (\frac{π}{13} x)$
13343	Find the Domain	y=tan(pi/2x)	$y = \tan (\frac{π}{2} x)$
13344	Find the Domain	y=tan(1/2x)	$y = \tan (\frac{1}{2} x)$
13345	Find the Domain	y = natural log of \|x\|	$y = \ln (\| x \|)$
13346	Find the Domain	y = log of x-1	$y = \log (x - 1)$
13347	Find the Domain	y=sec(x)	$y = \sec (x)$
13348	Find the Domain	( cube root of m^4)(m^(-1/2))	$(\sqrt[3]{m^{4}}) (m^{- \frac{1}{2}})$
13349	Split Using Partial Fraction Decomposition	((x^2-1)(2x-1)^2)/(4x-1)	$\frac{(x^{2} - 1) {(2 x - 1)}^{2}}{4 x - 1}$
13350	Split Using Partial Fraction Decomposition	(2x+1)/(x^2-25)	$\frac{2 x + 1}{x^{2} - 25}$
13351	Split Using Partial Fraction Decomposition	(pi/2)/4	$\frac{\frac{π}{2}}{4}$
13352	Split Using Partial Fraction Decomposition	((4y^5z^(2/5))/(x^(1/2)))^2((x^-5y^10)/(32z^4))^(1/5)	${(\frac{4 y^{5} z^{\frac{2}{5}}}{x^{\frac{1}{2}}})}^{2} {(\frac{x^{- 5} y^{10}}{32 z^{4}})}^{\frac{1}{5}}$
13353	Split Using Partial Fraction Decomposition	((4x^2)(2x^3))/((x^2)^4)	$\frac{(4 x^{2}) (2 x^{3})}{{(x^{2})}^{4}}$
13354	Split Using Partial Fraction Decomposition	(4-x)/(x^2+6x+8)	$\frac{4 - x}{x^{2} + 6 x + 8}$
13355	Find the Domain	y=-8sec(pi/3x)	$y = - 8 \sec (\frac{π}{3} x)$
13356	Find the Domain	y=8cos(1/8x)	$y = 8 \cos (\frac{1}{8} x)$
13357	Find the Domain	y=4sin(pi/2x)-2	$y = 4 \sin (\frac{π}{2} x) - 2$
13358	Find the Domain	y=4x-5	$y = 4 x - 5$
13359	Find the Domain	y=-6csc(x)	$y = - 6 \csc (x)$
13360	Find the Domain	y=-6sin(4x)	$y = - 6 \sin (4 x)$
13361	Find the Domain	y=3cot(x-pi/2)	$y = 3 \cot (x - \frac{π}{2})$
13362	Find the Domain	y=4 natural log of x+1	$y = 4 \ln (x + 1)$
13363	Find the Domain	y=h(x)	$y = h (x)$
13364	Find the Domain	y = natural log of x+1	$y = \ln (x + 1)$
13365	Find the Domain	y=3cos(x+2)	$y = 3 \cos (x + 2)$
13366	Find the Domain	y=cos(4x)	$y = \cos (4 x)$
13367	Find the Domain	y = log base 2 of x-1	$y = \log_{2} (x - 1)$
13368	Find the Domain	y = log base 2 of 7t+8-5	$y = \log_{2} (7 t + 8) - 5$
13369	Find the Domain	y=arctan(x)	$y = \arctan (x)$
13370	Find the Domain	y = square root of x-2	$y = \sqrt{x - 2}$
13371	Find the Domain	y = square root of x-7	$y = \sqrt{x - 7}$
13372	Find the Domain	y = log base 3 of x-1-2	$y = \log_{3} (x - 1) - 2$
13373	Find the Domain	y=-x^2+8x-12	$y = - x^{2} + 8 x - 12$
13374	Find the Domain	y=2tan(3x)	$y = 2 \tan (3 x)$
13375	Split Using Partial Fraction Decomposition	(4x^3+5^2+7x-1)/(x^2x+1)	$\frac{4 x^{3} + 5^{2} + 7 x - 1}{x^{2} x + 1}$
13376	Split Using Partial Fraction Decomposition	-4/(x^2(x+5))	$\frac{- 4}{x^{2} (x + 5)}$
13377	Split Using Partial Fraction Decomposition	(4x^2-7x-3)/(x^3-x)	$\frac{4 x^{2} - 7 x - 3}{x^{3} - x}$
13378	Split Using Partial Fraction Decomposition	(36-7x)/(x^3-6x^2+9x)	$\frac{36 - 7 x}{x^{3} - 6 x^{2} + 9 x}$
13379	Split Using Partial Fraction Decomposition	(-3pi)/4	$\frac{- 3 π}{4}$
13380	Split Using Partial Fraction Decomposition	(3x)/((x-3)^2)	$\frac{3 x}{{(x - 3)}^{2}}$
13381	Split Using Partial Fraction Decomposition	(-3x-19)/(2x^2-5x-3)	$\frac{- 3 x - 19}{2 x^{2} - 5 x - 3}$
13382	Split Using Partial Fraction Decomposition	(3x^2-2x+4)/(x^2(2-x))	$\frac{3 x^{2} - 2 x + 4}{x^{2} (2 - x)}$
13383	Split Using Partial Fraction Decomposition	(2pi)/(pi/3)	$\frac{2 π}{\frac{π}{3}}$
13384	Split Using Partial Fraction Decomposition	2/(x^3-1)	$\frac{2}{x^{3} - 1}$
13385	Split Using Partial Fraction Decomposition	(2x^3-x^2+x+5)/(x^2+3x+2)	$\frac{2 x^{3} - x^{2} + x + 5}{x^{2} + 3 x + 2}$
13386	Split Using Partial Fraction Decomposition	10/(x(x^2+5))	$\frac{10}{x (x^{2} + 5)}$
13387	Split Using Partial Fraction Decomposition	(2x^2+9x+9)/((x^2-9)(2x-3))	$\frac{2 x^{2} + 9 x + 9}{(x^{2} - 9) (2 x - 3)}$
13388	Split Using Partial Fraction Decomposition	(2x^2-11x+5)/((x-3)(x^2+2x-5))	$\frac{2 x^{2} - 11 x + 5}{(x - 3) (x^{2} + 2 x - 5)}$
13389	Split Using Partial Fraction Decomposition	(x^2-3x+2)/(9x^3+7x^2)	$\frac{x^{2} - 3 x + 2}{9 x^{3} + 7 x^{2}}$
13390	Split Using Partial Fraction Decomposition	(x^3)/((x^2+16)^3)	$\frac{x^{3}}{{(x^{2} + 16)}^{3}}$
13391	Split Using Partial Fraction Decomposition	(x^2)/(x^3-4x^2+5x-2)	$\frac{x^{2}}{x^{3} - 4 x^{2} + 5 x - 2}$
13392	Split Using Partial Fraction Decomposition	(x^2+2x+3)/(x^3+x)	$\frac{x^{2} + 2 x + 3}{x^{3} + x}$
13393	Find the Domain	y = log base 3 of 4x-3+2	$y = \log_{3} (4 x - 3) + 2$
13394	Split Using Partial Fraction Decomposition	(pi/3)/2	$\frac{\frac{π}{3}}{2}$
13395	Split Using Partial Fraction Decomposition	(x^2)/((x-1)^2(x+1)^2)	$\frac{x^{2}}{{(x - 1)}^{2} {(x + 1)}^{2}}$
13396	Find the Domain	arccos(( square root of 3)/2)	$\arccos (\frac{\sqrt{3}}{2})$
13397	Split Using Partial Fraction Decomposition	((x^-3y^2)^-4)/((y^6x^-4)^-2)	$\frac{{(x^{- 3} y^{2})}^{- 4}}{{(y^{6} x^{- 4})}^{- 2}}$
13398	Split Using Partial Fraction Decomposition	( square root of 2+ square root of 2)/2	$\frac{\sqrt{2 + \sqrt{2}}}{2}$
13399	Split Using Partial Fraction Decomposition	1/((x-1)(x+2))	$\frac{1}{(x - 1) (x + 2)}$
13400	Split Using Partial Fraction Decomposition	(x^5-3x^4+3x^3-4x^2+2x+14)/((x-2)^2(x^2+2))	$\frac{x^{5} - 3 x^{4} + 3 x^{3} - 4 x^{2} + 2 x + 14}{{(x - 2)}^{2} (x^{2} + 2)}$