Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
12301	Find the Domain	f(x)=1/(1/x)	$f (x) = \frac{1}{\frac{1}{x}}$
12302	Find the Domain	f(x)=1/(x^2+2x-15)	$f (x) = \frac{1}{x^{2} + 2 x - 15}$
12303	Find the Domain	f(x)=1/((x^2)-4)	$f (x) = \frac{1}{(x^{2}) - 4}$
12304	Find the Domain	f(x)=(x^2-3)e^(-x)	$f (x) = (x^{2} - 3) e^{- x}$
12305	Find the Domain	f(x)=(x^2+5x-24)/(x^2)	$f (x) = \frac{x^{2} + 5 x - 24}{x^{2}}$
12306	Find the Inverse	f(x)=cos(9x)	$f (x) = \cos (9 x)$
12307	Find the Domain	f(t)=3/(t^2-t)	$f (t) = \frac{3}{t^{2} - t}$
12308	Find the Domain	f(x)=(x^2+3x+4)/( square root of x^2+1)	$f (x) = \frac{x^{2} + 3 x + 4}{\sqrt{x^{2} + 1}}$
12309	Find the Domain	f(x)=(x^3)/(x^2-49)	$f (x) = \frac{x^{3}}{x^{2} - 49}$
12310	Find the Domain	f(x)=(x^2+3x-9)/(x+5)	$f (x) = \frac{x^{2} + 3 x - 9}{x + 5}$
12311	Find the Inflection Points	f(x)=5x^3-15x	$f (x) = 5 x^{3} - 15 x$
12312	Find the Domain	f(x)=-x^2+2x-4	$f (x) = - x^{2} + 2 x - 4$
12313	Find the Domain	f(x)=x/( fourth root of 9-x^2)	$f (x) = \frac{x}{\sqrt[4]{9 - x^{2}}}$
12314	Find the Domain	f(x)=e^(-3x)	$f (x) = e^{- 3 x}$
12315	Find the Domain	f(x)=(2x-2)/(3x+1)	$f (x) = \frac{2 x - 2}{3 x + 1}$
12316	Find the Domain	f(x)=(9x)/(x^2-9)	$f (x) = \frac{9 x}{x^{2} - 9}$
12317	Find the Domain	f(x)=(2x-3)/(x-1)	$f (x) = \frac{2 x - 3}{x - 1}$
12318	Find the Inverse	f(x)=x^(2/3)	$f (x) = x^{\frac{2}{3}}$
12319	Find the Inverse	f(x)=-x^2-5	$f (x) = - x^{2} - 5$
12320	Find the Inverse	f(x) = cube root of 3x-2	$f (x) = \sqrt[3]{3 x - 2}$
12321	Find the Inverse	f(x)=1/3+2x^2-12x-20	$f (x) = \frac{1}{3} + 2 x^{2} - 12 x - 20$
12322	Find the Inverse	f(x)=1/5x+7	$f (x) = \frac{1}{5} x + 7$
12323	Find the Inverse	f(x)=-2/3x+6	$f (x) = - \frac{2}{3} x + 6$
12324	Find the Inverse	f(x)=e^(2x)+1	$f (x) = e^{2 x} + 1$
12325	Find the Inverse	f(x)=9 seventh root of 8x-7	$f (x) = 9 \sqrt[7]{8 x - 7}$
12326	Find the Inverse	f(x)=3/2x+3	$f (x) = \frac{3}{2} x + 3$
12327	Find the Inverse	f(x)=3e^(1/3x+1)	$f (x) = 3 e^{\frac{1}{3} x + 1}$
12328	Find the Inverse	x(t)=x^3+t^3x+t^5+7	$x (t) = x^{3} + t^{3} x + t^{5} + 7$
12329	Find the Inverse	f(x)=x^2-2x+5	$f (x) = x^{2} - 2 x + 5$
12330	Find the Inverse	f(x)=2x^2+3x+1	$f (x) = 2 x^{2} + 3 x + 1$
12331	Find the Inverse	f(x)=(6x-1)/(2x+5)	$f (x) = \frac{6 x - 1}{2 x + 5}$
12332	Find the Inverse	f(x) = square root of 8-4x	$f (x) = \sqrt{8 - 4 x}$
12333	Find the Inverse	f(x)=3/(x-4)	$f (x) = \frac{3}{x - 4}$
12334	Find the Inverse	f(x)=e^(-8x)	$f (x) = e^{- 8 x}$
12335	Find the Inverse	f(x)=arctan(x)	$f (x) = \arctan (x)$
12336	Find the Inverse	f(x)=(e^x)/(1+2e^x)	$f (x) = \frac{e^{x}}{1 + 2 e^{x}}$
12337	Find the Inverse	f(x)=1/4x-1/2	$f (x) = \frac{1}{4} x - \frac{1}{2}$
12338	Find the Inverse	f(x)=(e^x-1)/(e^x+1)	$f (x) = \frac{e^{x} - 1}{e^{x} + 1}$
12339	Find the Inverse	f(x)=(1+e^x)/(1-e^x)	$f (x) = \frac{1 + e^{x}}{1 - e^{x}}$
12340	Find the Inverse	f(x)=2/(3x-5)	$f (x) = \frac{2}{3 x - 5}$
12341	Find the Inverse	f(x)=3e^(2x)+1	$f (x) = 3 e^{2 x} + 1$
12342	Find the Inverse	f(x)=6x^2	$f (x) = 6 x^{2}$
12343	Evaluate the Difference Quotient	f(x)=x/(7-12x) , x=5/12	$f (x) = \frac{x}{7 - 12 x}$ , $x = \frac{5}{12}$
12344	Evaluate the Function	f(theta)=4sin(theta)-theta	$f (θ) = 4 \sin (θ) - θ$
12345	Evaluate the Function	f(x)=x^2 , x=8	$f (x) = x^{2}$ , $x = 8$
12346	Evaluate the Function	f(x)=7.4 natural log of 10+3 , 0 , 0 , 0	$f (x) = 7.4 \ln (10) + 3$ , $0$ , $0$ , $0$
12347	Evaluate the Function	f(x)=25-x^2 , f(1)	$f (x) = 25 - x^{2}$ , $f (1)$
12348	Evaluate the Function	f(theta)=thetacos(theta)sin(theta)	$f (θ) = θ \cos (θ) \sin (θ)$
12349	Evaluate the Function	g(t)=t square root of 4-t , t<3	$g (t) = t \sqrt{4 - t}$ , $t < 3$
12350	Evaluate the Function	f(4)=(x^2-2x-8)/(x-4)	$f (4) = \frac{x^{2} - 2 x - 8}{x - 4}$
12351	Evaluate the Function	h(1/2)=t+7/t	$h (\frac{1}{2}) = t + \frac{7}{t}$
12352	Evaluate the Function	h(x)=5x^2(8x+7)^4 , x=3	$h (x) = 5 x^{2} {(8 x + 7)}^{4}$ , $x = 3$
12353	Evaluate the Function	f(x)=x^2+3x , x=-1	$f (x) = x^{2} + 3 x$ , $x = - 1$
12354	Evaluate the Function	f(x)=x^(8/x) , x=5	$f (x) = x^{\frac{8}{x}}$ , $x = 5$
12355	Evaluate the Function	f(x)=x^2-4 , f(-3+h)-f*-3	$f (x) = x^{2} - 4$ , $f (- 3 + h) - f \cdot - 3$
12356	Evaluate the Function	f(x) = square root of x^2+21 , x=2	$f (x) = \sqrt{x^{2} + 21}$ , $x = 2$
12357	Evaluate the Function	f(x)=3x^3-5x^2+5x+7 , f'(6)	$f (x) = 3 x^{3} - 5 x^{2} + 5 x + 7$ , $f' (6)$
12358	Evaluate the Function	f(x)=2csc(x) , x=pi/6	$f (x) = 2 \csc (x)$ , $x = \frac{π}{6}$
12359	Evaluate the Function	f(theta)=(sec(theta))/(4+sec(theta))	$f (θ) = \frac{\sec (θ)}{4 + \sec (θ)}$
12360	Evaluate the Function	f(x)=8x^2-7x+3 , x=-2	$f (x) = 8 x^{2} - 7 x + 3$ , $x = - 2$
12361	Evaluate the Function	f(9)=9/((x^2+9)^(3/2))	$f (9) = \frac{9}{{(x^{2} + 9)}^{\frac{3}{2}}}$
12362	Evaluate the Function	f(9)=t^3-15t^2+48t	$f (9) = t^{3} - 15 t^{2} + 48 t$
12363	Evaluate the Function	f(x)=1/x , a=2	$f (x) = \frac{1}{x}$ , $a = 2$
12364	Evaluate the Function	f(2)=3x^3-2x^2+5x-5	$f (2) = 3 x^{3} - 2 x^{2} + 5 x - 5$
12365	Evaluate the Function	p(t)=200e^(-t) , t=2	$p (t) = 200 e^{- t}$ , $t = 2$
12366	Evaluate the Function	f(5)=6x(x+1)^2(x-1)^2	$f (5) = 6 x {(x + 1)}^{2} {(x - 1)}^{2}$
12367	Evaluate the Function	h(5)=-16t^2+160^t+125	$h (5) = - 16 t^{2} + 160^{t} + 125$
12368	Evaluate the Function	f(4)=(x^2-x-12)/(x-4)	$f (4) = \frac{x^{2} - x - 12}{x - 4}$
12369	Evaluate the Function	P(n)=-8n^2+3200n-80000 , n=200	$P (n) = - 8 n^{2} + 3200 n - 80000$ , $n = 200$
12370	Evaluate the Function	q(p)=1.2/p+3.5 , q'(2)	$q (p) = \frac{1.2}{p} + 3.5$ , $q' (2)$
12371	Evaluate the Function	s(t)=3t^2+9t , t=2	$s (t) = 3 t^{2} + 9 t$ , $t = 2$
12372	Evaluate the Function	f(0.29)=x-(x^3+3x^2-2x-1)/(3x^2+6x-2)	$f (0.29) = x - \frac{x^{3} + 3 x^{2} - 2 x - 1}{3 x^{2} + 6 x - 2}$
12373	Evaluate the Function	f(-2)=23x^2	$f (- 2) = 23 x^{2}$
12374	Evaluate the Function	f(x)=2x^2+2 , x=3	$f (x) = 2 x^{2} + 2$ , $x = 3$
12375	Evaluate the Function	f(x)=3x^2+2x-10 , a=1	$f (x) = 3 x^{2} + 2 x - 10$ , $a = 1$
12376	Evaluate the Difference Quotient	f(x) = square root of x^2+5 , x=2	$f (x) = \sqrt{x^{2} + 5}$ , $x = 2$
12377	Evaluate the Difference Quotient	f(x)=2x+3 , x=0 , x=3	$f (x) = 2 x + 3$ , $x = 0$ , $x = 3$
12378	Evaluate the Function	f(-1)=xe^(-x^(2/32))	$f (- 1) = x e^{- x^{\frac{2}{32}}}$
12379	Evaluate the Function	f(1)=xe^(-x^(2/32))	$f (1) = x e^{- x^{\frac{2}{32}}}$
12380	Evaluate the Function	f(0)=e^x	$f (0) = e^{x}$
12381	Evaluate the Function	f(0)=15sin(50pix)+40cos(50pix)	$f (0) = 15 \sin (50 π x) + 40 \cos (50 π x)$
12382	Evaluate the Function	f(0)=sin(0)	$f (0) = \sin (0)$
12383	Convert to Interval Notation	5x-6>11	$5 x - 6 > 11$
12384	Convert to Interval Notation	sin(2x)=sin(x)	$\sin (2 x) = \sin (x)$
12385	Solve for ?	2sin(theta)- square root of 2=0	$2 \sin (θ) - \sqrt{2} = 0$
12386	Evaluate the Function	f(0.99)=(x^3-x)/(x-1)	$f (0.99) = \frac{x^{3} - x}{x - 1}$
12387	Convert to Interval Notation	-5(z-2)>3z-6	$- 5 (z - 2) > 3 z - 6$
12388	Convert to Interval Notation	(4x+7)*(20(2x+8))<0	$(4 x + 7) \cdot (20 (2 x + 8)) < 0$
12389	Convert to Interval Notation	(x^2-3x-4)/(x^2-4x+5)<0	$\frac{x^{2} - 3 x - 4}{x^{2} - 4 x + 5} < 0$
12390	Convert to Interval Notation	x^2-6x-16<0	$x^{2} - 6 x - 16 < 0$
12391	Convert to Interval Notation	\|x-3\|+\|x+2\|<11	$\| x - 3 \| + \| x + 2 \| < 11$
12392	Convert to Interval Notation	x^2+7x+12>0	$x^{2} + 7 x + 12 > 0$
12393	Convert to Interval Notation	(4-3x-x^2)/(x^2-25)>0	$\frac{4 - 3 x - x^{2}}{x^{2} - 25} > 0$
12394	Convert to Interval Notation	1-(x^2)/6<(xsin(x))/(2-2cos(x))<1	$1 - \frac{x^{2}}{6} < \frac{x \sin (x)}{2 - 2 \cos (x)} < 1$
12395	Convert to Interval Notation	3(x-2)+5x>22	$3 (x - 2) + 5 x > 22$
12396	Find the Derivative - d/d@VAR	f(x)=x^8e^x	$f (x) = x^{8} e^{x}$
12397	Find the Derivative - d/dx	e^(x^2+5x)	$e^{x^{2} + 5 x}$
12398	Evaluate the Function	f(310)=0.0003x^2-0.14x+30	$f (310) = 0.0003 x^{2} - 0.14 x + 30$
12399	Evaluate the Function	f(4)=(x^2+3x-28)/(x^2-16)	$f (4) = \frac{x^{2} + 3 x - 28}{x^{2} - 16}$
12400	Evaluate the Function	f(4)=1-4x^-2	$f (4) = 1 - 4 x^{- 2}$