Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38301	Find the Domain and Range	f(x)=(x^2)*( natural log of x)	$f (x) = (x^{2}) \cdot (\ln (x))$
38302	Find the Domain and Range	f(x)=(1+5x)(5-4x)	$f (x) = (1 + 5 x) (5 - 4 x)$
38303	Find the Domain and Range	f(x)=(4x^3+8x^2-12x)*e^x	$f (x) = (4 x^{3} + 8 x^{2} - 12 x) \cdot e^{x}$
38304	Find the Domain and Range	f(x)=(3/7)^x	$f (x) = {(\frac{3}{7})}^{x}$
38305	Find the Domain and Range	f(x)=(1+cos(6x))/(1+x^3)	$f (x) = \frac{1 + \cos (6 x)}{1 + x^{3}}$
38306	Find the Domain and Range	f(x)=(10x+3)/(2x-5)	$f (x) = \frac{10 x + 3}{2 x - 5}$
38307	Find the Domain and Range	f(x)=2/( square root of x-2)	$f (x) = \frac{2}{\sqrt{x - 2}}$
38308	Find the Domain and Range	f(x)=(2x^2-8)/(x^2-16)	$f (x) = \frac{2 x^{2} - 8}{x^{2} - 16}$
38309	Find the Domain and Range	f(x)=(2x-1)^3	$f (x) = {(2 x - 1)}^{3}$
38310	Find the Domain and Range	f(x)=(3x^2-7x+1)/(2x^2-8)	$f (x) = \frac{3 x^{2} - 7 x + 1}{2 x^{2} - 8}$
38311	Find the Domain and Range	f(x)=(3x-6)/(4-x)	$f (x) = \frac{3 x - 6}{4 - x}$
38312	Find the Domain and Range	f(x)=((x-1)(x-2))/((x-3)(x-4))	$f (x) = \frac{(x - 1) (x - 2)}{(x - 3) (x - 4)}$
38313	Find the Domain and Range	f(x)=(x-2)/(x^3-4x)	$f (x) = \frac{x - 2}{x^{3} - 4 x}$
38314	Find the Domain and Range	f(x)=(x-2)^2+3	$f (x) = {(x - 2)}^{2} + 3$
38315	Find the Domain and Range	f(x)=(x-3)^2-5	$f (x) = {(x - 3)}^{2} - 5$
38316	Find the Domain and Range	f(x)=(x-5)/(x^2-36)	$f (x) = \frac{x - 5}{x^{2} - 36}$
38317	Find the Domain and Range	f(x)=(x-6)/(x+7)	$f (x) = \frac{x - 6}{x + 7}$
38318	Find the Domain and Range	f(x)=(2x^2-5x-3)/(3x^2-12)	$f (x) = \frac{2 x^{2} - 5 x - 3}{3 x^{2} - 12}$
38319	Find the Domain and Range	f(x)=(e^(-2x))/(x-2)	$f (x) = \frac{e^{- 2 x}}{x - 2}$
38320	Find the Domain and Range	f(x)=( square root of 36x^2+7)/(9x+4)	$f (x) = \frac{\sqrt{36 x^{2} + 7}}{9 x + 4}$
38321	Find the Domain and Range	f(x)=( square root of 7x^2+8)/(9x+7)	$f (x) = \frac{\sqrt{7 x^{2} + 8}}{9 x + 7}$
38322	Find the Domain and Range	f(x)=( square root of 9x^2+2x+14-5)/(x-1)	$f (x) = \frac{\sqrt{9 x^{2} + 2 x + 14} - 5}{x - 1}$
38323	Find the Domain and Range	f(x)=( cube root of x^6+729)/(4x^2+ square root of 2x^4+64)	$f (x) = \frac{\sqrt[3]{x^{6} + 729}}{4 x^{2} + \sqrt{2 x^{4} + 64}}$
38324	Find the Domain and Range	f(x)=(x^2)/(x^2+256)	$f (x) = \frac{x^{2}}{x^{2} + 256}$
38325	Find the Derivative - d/dx	y=(5-sec(x))/(tan(x))	$y = \frac{5 - \sec (x)}{\tan (x)}$
38326	Find the Domain and Range	f(x)=(x^2+2x-48)/(x^2)	$f (x) = \frac{x^{2} + 2 x - 48}{x^{2}}$
38327	Find the Domain and Range	f(x)=(x^2+x-6)/(x^2-x+6)	$f (x) = \frac{x^{2} + x - 6}{x^{2} - x + 6}$
38328	Find the Domain and Range	f(x)=(x^2-11x+67)/(x-9)	$f (x) = \frac{x^{2} - 11 x + 67}{x - 9}$
38329	Find the Domain and Range	f(x)=(x^2-143)/(x-12)	$f (x) = \frac{x^{2} - 143}{x - 12}$
38330	Find the Domain and Range	f(x)=(x^2-8x-9)/(x+17)	$f (x) = \frac{x^{2} - 8 x - 9}{x + 17}$
38331	Find the Domain and Range	f(x)=(x^2-9)/(x^2-4)	$f (x) = \frac{x^{2} - 9}{x^{2} - 4}$
38332	Find the Domain and Range	f(x)=(x^2-x-12)/(x^(3-4x))	$f (x) = \frac{x^{2} - x - 12}{x^{3 - 4 x}}$
38333	Find the Domain and Range	f(x)=(x^3-10x^2+21x)/(x^2+3x-18)	$f (x) = \frac{x^{3} - 10 x^{2} + 21 x}{x^{2} + 3 x - 18}$
38334	Find the Domain and Range	f(x)=1/((x-1)^3)	$f (x) = \frac{1}{{(x - 1)}^{3}}$
38335	Find the Domain and Range	f(x)=1/(x^2+2x-35)	$f (x) = \frac{1}{x^{2} + 2 x - 35}$
38336	Find the Domain and Range	f(x)=1/(x^2-16)	$f (x) = \frac{1}{x^{2} - 16}$
38337	Find the Domain and Range	f(x)=1/(x^2-3x-2)	$f (x) = \frac{1}{x^{2} - 3 x - 2}$
38338	Find the Domain and Range	f(x)=-1/2* log of x-5	$f (x) = - \frac{1}{2} \cdot \log (x - 5)$
38339	Find the Domain and Range	f(x)=1/3x^2-5/2x^2+4x+2	$f (x) = \frac{1}{3} x^{2} - \frac{5}{2} x^{2} + 4 x + 2$
38340	Find the Domain and Range	f(x)=1/4x^4-18x^2	$f (x) = \frac{1}{4} x^{4} - 18 x^{2}$
38341	Find the Domain and Range	f(x)=-1/8x^3+1/5x^2+14x	$f (x) = - \frac{1}{8} x^{3} + \frac{1}{5} x^{2} + 14 x$
38342	Find the Domain and Range	f(x)=-1/(x-7)	$f (x) = \frac{- 1}{x - 7}$
38343	Find the Domain and Range	f(x)=10^(-x)	$f (x) = 10^{- x}$
38344	Find the Domain and Range	f(x)=102/(x+3)	$f (x) = \frac{102}{x + 3}$
38345	Find the Domain and Range	f(x)=(16x^3*(7x)+6)/(28x^3+5-9)	$f (x) = \frac{16 x^{3} \cdot (7 x) + 6}{28 x^{3} + 5 - 9}$
38346	Find the Domain and Range	f(x)=(16x+12)/(x^2+1)	$f (x) = \frac{16 x + 12}{x^{2} + 1}$
38347	Find the Domain and Range	f(x)=(2x^2-18)/(x^2-4)	$f (x) = \frac{2 x^{2} - 18}{x^{2} - 4}$
38348	Find the Domain and Range	f(x)=(-2x^3+x-2)/(3x^2+10x-4)	$f (x) = \frac{- 2 x^{3} + x - 2}{3 x^{2} + 10 x - 4}$
38349	Find the Domain and Range	f(x)=(2x^3-3x-9)/(9x^3-5x^2+3)	$f (x) = \frac{2 x^{3} - 3 x - 9}{9 x^{3} - 5 x^{2} + 3}$
38350	Find the Domain and Range	f(x)=20/(x^2(x-3))	$f (x) = \frac{20}{x^{2} (x - 3)}$
38351	Find the Domain and Range	f(x)=2e^(-8x)	$f (x) = 2 e^{- 8 x}$
38352	Find the Domain and Range	f(x)=(2x)/(3x+4)	$f (x) = \frac{2 x}{3 x + 4}$
38353	Find the Domain and Range	f(x)=(2x+1)/(x-1)	$f (x) = \frac{2 x + 1}{x - 1}$
38354	Find the Domain and Range	f(x)=(2x-3)/(x-7)	$f (x) = \frac{2 x - 3}{x - 7}$
38355	Find the Domain and Range	f(x)=(2x-5)/x	$f (x) = \frac{2 x - 5}{x}$
38356	Find the Domain and Range	f(x)=(-2x-7)/(-4x-6)	$f (x) = \frac{- 2 x - 7}{- 4 x - 6}$
38357	Find the Domain and Range	f(x)=(2x-7)/(3x+10)	$f (x) = \frac{2 x - 7}{3 x + 10}$
38358	Find the Domain and Range	f(x)=(2x-8)/(x^2-x-12)	$f (x) = \frac{2 x - 8}{x^{2} - x - 12}$
38359	Find the Domain and Range	f(x)=(3 square root of x)/(x-2 square root of x+1)	$f (x) = \frac{3 \sqrt{x}}{x - 2 \sqrt{x} + 1}$
38360	Find the Domain and Range	f(x)=(3x^2)/(x^2-16)	$f (x) = \frac{3 x^{2}}{x^{2} - 16}$
38361	Find the Domain and Range	f(x)=(3x^2-x-2)/(2x^2-5x)	$f (x) = \frac{3 x^{2} - x - 2}{2 x^{2} - 5 x}$
38362	Find the Domain and Range	f(x)=(3x^3)/(x^2-9)	$f (x) = \frac{3 x^{3}}{x^{2} - 9}$
38363	Find the Domain and Range	f(x)=(3x^3-3x+5)/(21x^3+8x-3)	$f (x) = \frac{3 x^{3} - 3 x + 5}{21 x^{3} + 8 x - 3}$
38364	Find the Domain and Range	f(x)=3/2-2	$f (x) = \frac{3}{2} - 2$
38365	Find the Domain and Range	f(x)=-3/(4x+8)	$f (x) = \frac{- 3}{4 x + 8}$
38366	Find the Domain and Range	f(x)=x+108/(x^2)	$f (x) = x + \frac{108}{x^{2}}$
38367	Find the Domain and Range	f(x)=x+32/(x^2)	$f (x) = x + \frac{32}{x^{2}}$
38368	Find the Domain and Range	f(x)=x+sin(x)	$f (x) = x + \sin (x)$
38369	Find the Domain and Range	f(x)=x-2sin(x)	$f (x) = x - 2 \sin (x)$
38370	Find the Domain and Range	f(x)=x- natural log of 7x[0.5,2]	$f (x) = x - \ln (7 x) [0.5, 2]$
38371	Find the Derivative - d/dx	y=1/(1-x^2)	$y = \frac{1}{1 - x^{2}}$
38372	Find the Domain and Range	f(x)=xsin(1/(6x))	$f (x) = x \sin (\frac{1}{6 x})$
38373	Find the Domain and Range	f(y)=3x^5-5x^3+4	$f (y) = 3 x^{5} - 5 x^{3} + 4$
38374	Find the Domain and Range	g(t)=(t-1)/(t^(2-1))	$g (t) = \frac{t - 1}{t^{2 - 1}}$
38375	Find the Domain and Range	G(t)=1+1/t+1/(t^2)	$G (t) = 1 + \frac{1}{t} + \frac{1}{t^{2}}$
38376	Find the Domain and Range	g(x)=(x-4)^2-2	$g (x) = {(x - 4)}^{2} - 2$
38377	Find the Domain and Range	g(x)=((x-1)^2)/(x-4)	$g (x) = \frac{{(x - 1)}^{2}}{x - 4}$
38378	Find the Domain and Range	g(x)=(x^2+25)/(2x^2+5x-3)	$g (x) = \frac{x^{2} + 25}{2 x^{2} + 5 x - 3}$
38379	Find the Domain and Range	g(x)=1/(2x-6)	$g (x) = \frac{1}{2 x - 6}$
38380	Find the Domain and Range	g(x)=3/(x-2)-1	$g (x) = \frac{3}{x - 2} - 1$
38381	Find the Domain and Range	g(x)=-(4 fourth root of 1)/7	$g (x) = - \frac{4 \sqrt[4]{1}}{7}$
38382	Find the Domain and Range	g(x)=(5x^2+7)/(50-2x^2)	$g (x) = \frac{5 x^{2} + 7}{50 - 2 x^{2}}$
38383	Find the Domain and Range	g(x) = log base 3 of x-1	$g (x) = \log_{3} (x - 1)$
38384	Find the Domain and Range	g(x) = square root of natural log of x-1	$g (x) = \sqrt{\ln (x - 1)}$
38385	Find the Domain and Range	g(x)=-x^3+5x^2+8x-3	$g (x) = - x^{3} + 5 x^{2} + 8 x - 3$
38386	Find the Domain and Range	g(x)=2e^(-1/2x)	$g (x) = 2 e^{- \frac{1}{2} x}$
38387	Find the Domain and Range	g(x)=4 log base 2 of x	$g (x) = 4 \log_{2} (x)$
38388	Find the Domain and Range	g(x)=7x	$g (x) = 7 x$
38389	Find the Domain and Range	g(x) = natural log of x	$g (x) = \ln (x)$
38390	Find the Domain and Range	g(z)=z+(1/z)	$g (z) = z + (\frac{1}{z})$
38391	Find the Domain and Range	H(r)=-18x(1+0.03x^2)^-2	$H (r) = - 18 x {(1 + 0.03 x^{2})}^{- 2}$
38392	Find the Domain and Range	h(t)=99/(5+10(0.4)^t)	$h (t) = \frac{99}{5 + 10 {(0.4)}^{t}}$
38393	Find the Domain and Range	h(t)=52t-16t	$h (t) = 52 t - 16 t$
38394	Find the Domain and Range	m(y) = square root of 3-2y	$m (y) = \sqrt{3 - 2 y}$
38395	Find the Domain and Range	r(x)=(3x^2-3x)/(x^2+x-12)	$r (x) = \frac{3 x^{2} - 3 x}{x^{2} + x - 12}$
38396	Find the Domain and Range	r(x)=(5x-6)/(x^2-1)	$r (x) = \frac{5 x - 6}{x^{2} - 1}$
38397	Find the Domain and Range	s(x)=-5x^2-30x-43	$s (x) = - 5 x^{2} - 30 x - 43$
38398	Find the Domain and Range	w(t)=100(1-e^(0.3t))	$w (t) = 100 (1 - e^{0.3 t})$
38399	Find the Domain and Range	A(t)=b(2^(-t/h))	$A (t) = b (2^{- \frac{t}{h}})$
38400	Find the Domain and Range	C(n)=25n^2+150n+21500	$C (n) = 25 n^{2} + 150 n + 21500$