Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38801	Find the Domain and Range	f(x)=(4-3x)/(2x+5)	$f (x) = \frac{4 - 3 x}{2 x + 5}$
38802	Find the Domain and Range	f(x)=45/(x-3)	$f (x) = \frac{45}{x - 3}$
38803	Find the Domain and Range	f(x)=4e^x-3x^2-1	$f (x) = 4 e^{x} - 3 x^{2} - 1$
38804	Find the Domain and Range	f(x)=(4x)/(x^2+2x-6)	$f (x) = \frac{4 x}{x^{2} + 2 x - 6}$
38805	Find the Domain and Range	f(x)=(4x)/(x^2-25)	$f (x) = \frac{4 x}{x^{2} - 25}$
38806	Find the Domain and Range	f(x)=(4x)/(x^2-4)	$f (x) = \frac{4 x}{x^{2} - 4}$
38807	Find the Domain and Range	f(x)=4x^4-33^3-180x^2+11	$f (x) = 4 x^{4} - 33^{3} - 180 x^{2} + 11$
38808	Find the Domain and Range	f(x)=(4x+1)/(2x+1)	$f (x) = \frac{4 x + 1}{2 x + 1}$
38809	Find the Domain and Range	f(x)=(4x-2)/(3x+1)	$f (x) = \frac{4 x - 2}{3 x + 1}$
38810	Find the Domain and Range	f(x)=(4x-3)/x	$f (x) = \frac{4 x - 3}{x}$
38811	Find the Domain and Range	f(x)=2/(x-7)	$f (x) = \frac{2}{x - 7}$
38812	Find the Domain and Range	f(x)=(2x)/( square root of x-1)	$f (x) = \frac{2 x}{\sqrt{x - 1}}$
38813	Find the Domain and Range	f(x)=(2x)/(x^2-8x+16)	$f (x) = \frac{2 x}{x^{2} - 8 x + 16}$
38814	Find the Domain and Range	f(x)=5/(x-8)	$f (x) = \frac{5}{x - 8}$
38815	Find the Derivative - d/d@VAR	f(x)=(2x-1)/(2x+1)	$f (x) = \frac{2 x - 1}{2 x + 1}$
38816	Find the Domain and Range	f(x)=-5x^2-40x-83	$f (x) = - 5 x^{2} - 40 x - 83$
38817	Find the Domain and Range	f(x)=(5x-1)/x	$f (x) = \frac{5 x - 1}{x}$
38818	Find the Domain and Range	f(x)=(5x-7)/(4x+5)	$f (x) = \frac{5 x - 7}{4 x + 5}$
38819	Find the Domain and Range	f(x)=(5x-7)/x	$f (x) = \frac{5 x - 7}{x}$
38820	Find the Domain and Range	f(x)=-6/(x^2)	$f (x) = - \frac{6}{x^{2}}$
38821	Find the Domain and Range	G(x)=x^3-4x^2-16x-2	$G (x) = x^{3} - 4 x^{2} - 16 x - 2$
38822	Find the Domain and Range	g(x)=x^4-2x^2+7	$g (x) = x^{4} - 2 x^{2} + 7$
38823	Find the Domain and Range	G(x)=x^8e^x-2	$G (x) = x^{8} e^{x} - 2$
38824	Find the Domain and Range	g(x)=11x	$g (x) = 11 x$
38825	Find the Domain and Range	g(x)=2x^3-6x	$g (x) = 2 x^{3} - 6 x$
38826	Find the Domain and Range	g(x)=2cos(2x-pi)+4	$g (x) = 2 \cos (2 x - π) + 4$
38827	Find the Domain and Range	g(x)=2x	$g (x) = 2 x$
38828	Find the Domain and Range	g(x)=3*cos(2x+pi/4)+x	$g (x) = 3 \cdot \cos (2 x + \frac{π}{4}) + x$
38829	Find the Domain and Range	g(x)=4x^3-6x^2+5x-8	$g (x) = 4 x^{3} - 6 x^{2} + 5 x - 8$
38830	Find the Domain and Range	g(x)=5x^4	$g (x) = 5 x^{4}$
38831	Find the Domain and Range	g(x)=-8+8x-4x^2	$g (x) = - 8 + 8 x - 4 x^{2}$
38832	Find the Domain and Range	g(x) = log of 6x	$g (x) = \log (6 x)$
38833	Find the Domain and Range	g(x) = log of 9(x-10)	$g (x) = \log (9) (x - 10)$
38834	Find the Domain and Range	g(x) = log of x-3	$g (x) = \log (x - 3)$
38835	Find the Domain and Range	g(y)=(y-1)/(y^2-3y+3)	$g (y) = \frac{y - 1}{y^{2} - 3 y + 3}$
38836	Find the Domain and Range	h(x)=-6cos(x/2)	$h (x) = - 6 \cos (\frac{x}{2})$
38837	Find the Domain and Range	h(x)=(x-3)(x^2-6x-18)	$h (x) = (x - 3) (x^{2} - 6 x - 18)$
38838	Find the Domain and Range	h(x)=(3x^2-3x)/(x^2-2x-3)	$h (x) = \frac{3 x^{2} - 3 x}{x^{2} - 2 x - 3}$
38839	Find the Domain and Range	h(x)=(x+3)^2+4	$h (x) = {(x + 3)}^{2} + 4$
38840	Find the Domain and Range	h(x)=(-x-2)^2-7	$h (x) = {(- x - 2)}^{2} - 7$
38841	Find the Domain and Range	h(x)=(x-4)^5	$h (x) = {(x - 4)}^{5}$
38842	Find the Domain and Range	h(x)=1/(x+2)	$h (x) = \frac{1}{x + 2}$
38843	Find the Domain and Range	h(x)=ax^4+bx^3+cx^2	$h (x) = a x^{4} + b x^{3} + c x^{2}$
38844	Find the Domain and Range	h(x)=(sin(x-4))/(x-4)	$h (x) = \frac{\sin (x - 4)}{x - 4}$
38845	Find the Domain and Range	h(x) = cube root of x	$h (x) = \sqrt[3]{x}$
38846	Find the Domain and Range	h(x)=(x+4)/(x^2-2x-3)	$h (x) = \frac{x + 4}{x^{2} - 2 x - 3}$
38847	Find the Domain and Range	h(x)=0	$h (x) = 0$
38848	Find the Domain and Range	H(x)=2x^3-18x^2+30x	$H (x) = 2 x^{3} - 18 x^{2} + 30 x$
38849	Find the Domain and Range	h(x)=2x^3-9x^2+12x	$h (x) = 2 x^{3} - 9 x^{2} + 12 x$
38850	Find the Domain and Range	h(x)=27x-x^3	$h (x) = 27 x - x^{3}$
38851	Find the Domain and Range	h(x)=2x+7	$h (x) = 2 x + 7$
38852	Find the Domain and Range	h(x)=3+4x-x^2	$h (x) = 3 + 4 x - x^{2}$
38853	Find the Domain and Range	h(x)=f(x)g(x)-2fx+7	$h (x) = f (x) g (x) - 2 f x + 7$
38854	Find the Domain and Range	m(x)=(x+1)/((x-1)(x-4))	$m (x) = \frac{x + 1}{(x - 1) (x - 4)}$
38855	Find the Domain and Range	m(x)=16x-x^2	$m (x) = 16 x - x^{2}$
38856	Find the Domain and Range	N(t)=25000-3000/( square root of 1+0.2t^2)	$N (t) = 25000 - \frac{3000}{\sqrt{1 + 0.2 t^{2}}}$
38857	Find the Domain and Range	n(x)=(x-4)^2-6	$n (x) = {(x - 4)}^{2} - 6$
38858	Find the Domain and Range	P(a)=0.35	$P (a) = 0.35$
38859	Find the Domain and Range	P(q)=(R9-WZ)/(M*N)	$P (q) = \frac{R \cdot 9 - W \cdot Z}{M \cdot N}$
38860	Find the Domain and Range	P(t)=200/(1+7e^(-0.5t))	$P (t) = \frac{200}{1 + 7 e^{- 0.5 t}}$
38861	Find the Domain and Range	P(t)=(600t)/(2t^2+9)	$P (t) = \frac{600 t}{2 t^{2} + 9}$
38862	Find the Domain and Range	p(t)=3.5*1.09^t	$p (t) = 3.5 \cdot {1.09}^{t}$
38863	Find the Domain and Range	p(t)=-4t^2+16t-11	$p (t) = - 4 t^{2} + 16 t - 11$
38864	Find the Domain and Range	P(x)=(x-3)(x+2)(x^2-x+1)	$P (x) = (x - 3) (x + 2) (x^{2} - x + 1)$
38865	Find the Domain and Range	P(x)=(5x)/(1-x)	$P (x) = \frac{5 x}{1 - x}$
38866	Find the Domain and Range	p(x)=x^2-2x+8	$p (x) = x^{2} - 2 x + 8$
38867	Find the Domain and Range	P(x)=x^3+2x^2-5x-3	$P (x) = x^{3} + 2 x^{2} - 5 x - 3$
38868	Find the Domain and Range	P(x)=x^5-2x^4-x^3+2x^2	$P (x) = x^{5} - 2 x^{4} - x^{3} + 2 x^{2}$
38869	Find the Domain and Range	p(x)=2-1/(4x)	$p (x) = 2 - \frac{1}{4 x}$
38870	Find the Domain and Range	p(x)=-5x^2+260x-2400	$p (x) = - 5 x^{2} + 260 x - 2400$
38871	Find the Domain and Range	q(x)=5x-(2+9x)/7	$q (x) = 5 x - \frac{2 + 9 x}{7}$
38872	Find the Domain and Range	r(x)=(x^3+8)/(x^2+4)	$r (x) = \frac{x^{3} + 8}{x^{2} + 4}$
38873	Find the Domain and Range	R(x)=(x^3-125)/(x^2-36)	$R (x) = \frac{x^{3} - 125}{x^{2} - 36}$
38874	Find the Domain and Range	R(x)=(60x^2+74x)/(2x+2)	$R (x) = \frac{60 x^{2} + 74 x}{2 x + 2}$
38875	Find the Domain and Range	r(x)=(p(x))/(q(x))	$r (x) = \frac{p (x)}{q (x)}$
38876	Find the Domain and Range	R(x)=(x-1)/(x(x-2))	$R (x) = \frac{x - 1}{x (x - 2)}$
38877	Find the Domain and Range	R(x)=10e^(-x)-10xe^(-x)	$R (x) = 10 e^{- x} - 10 x e^{- x}$
38878	Find the Domain and Range	R(x)=x(110-4x)	$R (x) = x (110 - 4 x)$
38879	Find the Domain and Range	s(t)=24t^2+576t-30	$s (t) = 24 t^{2} + 576 t - 30$
38880	Find the Domain and Range	s(t)=(1-t)/(1+t)	$s (t) = \frac{1 - t}{1 + t}$
38881	Find the Domain and Range	s(t)=-16t^2+48t+17	$s (t) = - 16 t^{2} + 48 t + 17$
38882	Find the Domain and Range	t(x)=(x-4)^3+6	$t (x) = {(x - 4)}^{3} + 6$
38883	Find the Domain and Range	t(x)=(3x+6)/(x^2+2x-8)	$t (x) = \frac{3 x + 6}{x^{2} + 2 x - 8}$
38884	Find the Domain and Range	t(x)=(x-6)/(x^2-12x)	$t (x) = \frac{x - 6}{x^{2} - 12 x}$
38885	Find the Domain and Range	u(x)=6(x+3)^3	$u (x) = 6 {(x + 3)}^{3}$
38886	Find the Domain and Range	v(t)=30-(15(x)^2)/(((x)+3)^2)	$v (t) = 30 - \frac{15 {(x)}^{2}}{{((x) + 3)}^{2}}$
38887	Find the Domain and Range	V(x)=192x-1/4x^2	$V (x) = 192 x - \frac{1}{4} x^{2}$
38888	Find the Domain and Range	w(x)=-1/(x^2)	$w (x) = - \frac{1}{x^{2}}$
38889	Find the Domain and Range	x(t)=17+2t-6t^2	$x (t) = 17 + 2 t - 6 t^{2}$
38890	Find the Domain and Range	x(t)=6-2t-t^2	$x (t) = 6 - 2 t - t^{2}$
38891	Find the Function	g'(x) = square root of 5x	$g' (x) = \sqrt{5 x}$
38892	Find the Function	a'(t)=(15/2) square root of t+3e^(-t)	$a' (t) = (\frac{15}{2}) \sqrt{t} + 3 e^{- t}$
38893	Find the Function	a'(x)=0.0012x^2-0.1x+0.18	$a' (x) = 0.0012 x^{2} - 0.1 x + 0.18$
38894	Find the Function	A'(x)=162/x	$A' (x) = \frac{162}{x}$
38895	Find the Function	a'(x)=(2x^3-200)/(x^2)	$a' (x) = \frac{2 x^{3} - 200}{x^{2}}$
38896	Find the Function	B'(t)=(15/2) square root of t+6e^(-t)	$B' (t) = (\frac{15}{2}) \sqrt{t} + 6 e^{- t}$
38897	Find the Function	B'(t)=118e^(0.02t)	$B' (t) = 118 e^{0.02 t}$
38898	Find the Function	C'(q)=0.008(190)^2-q+46	$C' (q) = 0.008 {(190)}^{2} - q + 46$
38899	Find the Function	C'(q)=2+0.0013q	$C' (q) = 2 + 0.0013 q$
38900	Find the Function	c'(t)=((t^2+7)*0.2-0.2t(2t))/((t^2+7)^2)	$c' (t) = \frac{(t^{2} + 7) \cdot 0.2 - 0.2 t (2 t)}{{(t^{2} + 7)}^{2}}$