Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5801	Find the Domain and Range	f(x)=2 natural log of x-3	$f (x) = 2 \ln (x - 3)$
5802	Find the Domain and Range	f(x)=2x(x+3)^2	$f (x) = 2 x {(x + 3)}^{2}$
5803	Find the Domain and Range	f(x)=2x^3+8x^2-8x-32	$f (x) = 2 x^{3} + 8 x^{2} - 8 x - 32$
5804	Find the Domain and Range	f(x)=3(x-2)^2-4	$f (x) = 3 {(x - 2)}^{2} - 4$
5805	Find the Domain and Range	f(x)=5cos(x)	$f (x) = 5 \cos (x)$
5806	Find the Domain and Range	f(x) = log of -2x	$f (x) = \log (- 2 x)$
5807	Find the Domain and Range	f(x) = natural log of 3-x	$f (x) = \ln (3 - x)$
5808	Find the Domain and Range	f(x) = natural log of x+2	$f (x) = \ln (x) + 2$
5809	Find the Domain and Range	g(x)=5^x	$g (x) = 5^{x}$
5810	Find the Domain and Range	f(x)=x square root of 4-x^2	$f (x) = x \sqrt{4 - x^{2}}$
5811	Find the Domain and Range	k(x)=3/x	$k (x) = \frac{3}{x}$
5812	Find the Domain and Range	g(x)=x^2+9x-25	$g (x) = x^{2} + 9 x - 25$
5813	Find the Domain and Range	k(x)=(x-1)^2-4	$k (x) = {(x - 1)}^{2} - 4$
5814	Find the Domain and Range	q(x)=x^2+5x+4	$q (x) = x^{2} + 5 x + 4$
5815	Find the Domain and Range	g(x)=-x^2-8x-12	$g (x) = - x^{2} - 8 x - 12$
5816	Find the Domain and Range	h(x)=(x-3)^2-1	$h (x) = {(x - 3)}^{2} - 1$
5817	Find the Domain and Range	f(x)=x^2+10x+8	$f (x) = x^{2} + 10 x + 8$
5818	Find the Domain and Range	f(x)=x^2+10x+14	$f (x) = x^{2} + 10 x + 14$
5819	Find the Domain and Range	f(x)=x^2(x-8)	$f (x) = x^{2} (x - 8)$
5820	Find the Domain and Range	f(x)=x^2+2x-48	$f (x) = x^{2} + 2 x - 48$
5821	Find the Domain and Range	f(x)=x^2+18x+81	$f (x) = x^{2} + 18 x + 81$
5822	Find the Domain and Range	f(x)=-x^2+4x-4	$f (x) = - x^{2} + 4 x - 4$
5823	Find the Domain and Range	f(x)=x/(x^2-x-2)	$f (x) = \frac{x}{x^{2} - x - 2}$
5824	Find the Domain and Range	f(x)=-e^x+2	$f (x) = - e^{x} + 2$
5825	Find the Domain and Range	f(x)=(4x^2)/(x^2-2x-3)	$f (x) = \frac{4 x^{2}}{x^{2} - 2 x - 3}$
5826	Find the Domain and Range	f(x)=(2x+3)/(x^2-4)	$f (x) = \frac{2 x + 3}{x^{2} - 4}$
5827	Find the Domain and Range	f(x)=(2x)/(x-3)	$f (x) = \frac{2 x}{x - 3}$
5828	Find the Domain and Range	f(x)=(8x)/(x^2-16)	$f (x) = \frac{8 x}{x^{2} - 16}$
5829	Find the Domain and Range	f(x)=(6x)/(x+2)	$f (x) = \frac{6 x}{x + 2}$
5830	Find the Domain and Range	f(x)=-5/(x^2-4)	$f (x) = - \frac{5}{x^{2} - 4}$
5831	Find the Domain and Range	f(x)=6/(x^2-x-2)	$f (x) = \frac{6}{x^{2} - x - 2}$
5832	Find the Domain and Range	f(x)=(4x)/(x-4)	$f (x) = \frac{4 x}{x - 4}$
5833	Find the Domain and Range	f(x)=(3x-3)/(x-2)	$f (x) = \frac{3 x - 3}{x - 2}$
5834	Find the Domain and Range	f(x)=(4x)/(x^2-16)	$f (x) = \frac{4 x}{x^{2} - 16}$
5835	Find the Domain and Range	f(x)=4/(x^2+6x-5)	$f (x) = \frac{4}{x^{2} + 6 x - 5}$
5836	Find the Domain and Range	f(x)=(4x-4)/(2x+2)	$f (x) = \frac{4 x - 4}{2 x + 2}$
5837	Find the Domain and Range	f(x)=x^2-6x-27	$f (x) = x^{2} - 6 x - 27$
5838	Find the Domain and Range	f(x)=x^2-5x-6	$f (x) = x^{2} - 5 x - 6$
5839	Find the Domain and Range	f(x)=x^3+5x^2-16x-80	$f (x) = x^{3} + 5 x^{2} - 16 x - 80$
5840	Find the Domain and Range	f(x)=x^3-x^2-12x	$f (x) = x^{3} - x^{2} - 12 x$
5841	Find the Domain and Range	f(x)=x^3+2x^2-8x	$f (x) = x^{3} + 2 x^{2} - 8 x$
5842	Find the Domain and Range	f(x)=x^3+x^2-16x-16	$f (x) = x^{3} + x^{2} - 16 x - 16$
5843	Find the Domain and Range	f(x)=x^3+x^2-42x	$f (x) = x^{3} + x^{2} - 42 x$
5844	Find the Domain and Range	f(x)=x^3+x^2-8x-6	$f (x) = x^{3} + x^{2} - 8 x - 6$
5845	Find the Domain and Range	f(x)=x^2-10x-11	$f (x) = x^{2} - 10 x - 11$
5846	Find the Domain and Range	f(x)=-x^2+x+6	$f (x) = - x^{2} + x + 6$
5847	Find the Domain and Range	f(x)=x^2+7x+12	$f (x) = x^{2} + 7 x + 12$
5848	Find the Domain and Range	f(x)=x^3-2x^2-35x	$f (x) = x^{3} - 2 x^{2} - 35 x$
5849	Find the Domain and Range	f(x)=x^4-2x^3+x^2	$f (x) = x^{4} - 2 x^{3} + x^{2}$
5850	Find the Domain and Range	f(x)=x^5-4x^3	$f (x) = x^{5} - 4 x^{3}$
5851	Find the Domain and Range	f(x)=-x^6-3x^5	$f (x) = - x^{6} - 3 x^{5}$
5852	Find the Domain and Range	f(x)=(x+9)/(x^2-81)	$f (x) = \frac{x + 9}{x^{2} - 81}$
5853	Find the Domain and Range	f(x)=(x+12)/(x-8)	$f (x) = \frac{x + 12}{x - 8}$
5854	Find the Domain and Range	f(x)=(x-1)/(x^2-3x-4)	$f (x) = \frac{x - 1}{x^{2} - 3 x - 4}$
5855	Find the Domain and Range	f(x)=(x-3)/(x^2-4x-21)	$f (x) = \frac{x - 3}{x^{2} - 4 x - 21}$
5856	Find the Domain and Range	f(x)=-0.01x^2+0.8x+6.1	$f (x) = - 0.01 x^{2} + 0.8 x + 6.1$
5857	Find the Domain and Range	f(x)=4x^2-2x-1	$f (x) = 4 x^{2} - 2 x - 1$
5858	Find the Domain and Range	r(x)=5/(x-2)	$r (x) = \frac{5}{x - 2}$
5859	Find the Domain and Range	f(x)=((2x^2-3x-20)(x+1))/(x^2-1)	$f (x) = \frac{(2 x^{2} - 3 x - 20) (x + 1)}{x^{2} - 1}$
5860	Find the Domain and Range	g(x)=2^(x-2)	$g (x) = 2^{x - 2}$
5861	Find the Domain and Range	f(x)=- natural log of x-4	$f (x) = - \ln (x) - 4$
5862	Find the Domain and Range	g(x)=(x^2+3x-5)/(x-4)	$g (x) = \frac{x^{2} + 3 x - 5}{x - 4}$
5863	Find the Domain and Range	f(x)=3x log base 2 of x	$f (x) = 3 x \log_{2} (x)$
5864	Find the Domain and Range	f(x)=4tan(2x)	$f (x) = 4 \tan (2 x)$
5865	Find the Domain and Range	f(x)=-4tan(2x)	$f (x) = - 4 \tan (2 x)$
5866	Find the Domain and Range	f(x)=7e^(x-3)+7	$f (x) = 7 e^{x - 3} + 7$
5867	Find the Domain and Range	R(x)=5/(x^2-36)	$R (x) = \frac{5}{x^{2} - 36}$
5868	Find the Domain and Range	r(x)=(4x^2+4)/(x^2+6x+9)	$r (x) = \frac{4 x^{2} + 4}{x^{2} + 6 x + 9}$
5869	Find the Domain and Range	r(x)=(4x^2)/(x^2-2x-3)	$r (x) = \frac{4 x^{2}}{x^{2} - 2 x - 3}$
5870	Find the Domain and Range	R(x)=(4x+4)/(7x+21)	$R (x) = \frac{4 x + 4}{7 x + 21}$
5871	Find the Domain and Range	r(x)=(x^3+3x^2)/(x^2-4)	$r (x) = \frac{x^{3} + 3 x^{2}}{x^{2} - 4}$
5872	Find the Domain and Range	r(x)=3/(x+2)	$r (x) = \frac{3}{x + 2}$
5873	Find the Domain and Range	r(x)=12/((x-2)^2)	$r (x) = \frac{12}{{(x - 2)}^{2}}$
5874	Find the Domain and Range	r(x)=(3x-12)/(x+1)	$r (x) = \frac{3 x - 12}{x + 1}$
5875	Find the Domain and Range	R(x)=6/(x^2-x-6)	$R (x) = \frac{6}{x^{2} - x - 6}$
5876	Find the Domain and Range	f(x)=-tan(4x)	$f (x) = - \tan (4 x)$
5877	Find the Domain and Range	h(x)=x/(x(x+8))	$h (x) = \frac{x}{x (x + 8)}$
5878	Find the Domain and Range	h(x)=(x+3)/(x(x-5))	$h (x) = \frac{x + 3}{x (x - 5)}$
5879	Find the Domain and Range	h(x) = natural log of x+6	$h (x) = \ln (x + 6)$
5880	Find the Domain and Range	p(x)=x^4-2x^3-18x+16	$p (x) = x^{4} - 2 x^{3} - 18 x + 16$
5881	Find the Domain and Range	p(x)=(4x^2)/(x^3-1)	$p (x) = \frac{4 x^{2}}{x^{3} - 1}$
5882	Find the Domain and Range	r(x)=(x^2+3x)/(x-9)	$r (x) = \frac{x^{2} + 3 x}{x - 9}$
5883	Find the Domain and Range	R(x)=(x^3-27)/(x^2-4x+3)	$R (x) = \frac{x^{3} - 27}{x^{2} - 4 x + 3}$
5884	Find the Domain and Range	f(x)=(x^2-5x+6)/(x+2)	$f (x) = \frac{x^{2} - 5 x + 6}{x + 2}$
5885	Find the Domain and Range	f(x)=1/(x-3)-2	$f (x) = \frac{1}{x - 3} - 2$
5886	Find the Domain and Range	f(x)=(x^2-2x-3)/(x-2)	$f (x) = \frac{x^{2} - 2 x - 3}{x - 2}$
5887	Find the Domain and Range	f(x)=(x^2-3x-4)/(x-4)	$f (x) = \frac{x^{2} - 3 x - 4}{x - 4}$
5888	Find the Domain and Range	f(x)=(x^2-3x-7)/(x+3)	$f (x) = \frac{x^{2} - 3 x - 7}{x + 3}$
5889	Find the Domain and Range	f(x)=(x^2-4)/(x^2-x-6)	$f (x) = \frac{x^{2} - 4}{x^{2} - x - 6}$
5890	Find the Domain and Range	f(x)=(x^2+5x)/(x^2-2x-15)	$f (x) = \frac{x^{2} + 5 x}{x^{2} - 2 x - 15}$
5891	Find the Domain and Range	f(x)=(x^2+7x-3)/((x+7)(x+8))	$f (x) = \frac{x^{2} + 7 x - 3}{(x + 7) (x + 8)}$
5892	Find the Domain and Range	f(x)=(2x^3-3x+1)/(x^3-5x+7)	$f (x) = \frac{2 x^{3} - 3 x + 1}{x^{3} - 5 x + 7}$
5893	Find the Domain and Range	f(x)=(20x^2)/(x^4+100)	$f (x) = \frac{20 x^{2}}{x^{4} + 100}$
5894	Find the Domain and Range	f(x)=(2x)/((x-5)(x+3))	$f (x) = \frac{2 x}{(x - 5) (x + 3)}$
5895	Find the Domain and Range	f(x)=(2x)/(x-4)	$f (x) = \frac{2 x}{x - 4}$
5896	Find the Domain and Range	f(x)=(2x-1)/(3x-2)	$f (x) = \frac{2 x - 1}{3 x - 2}$
5897	Find the Domain and Range	f(x)=1/2*(x-4)^2-2	$f (x) = \frac{1}{2} \cdot {(x - 4)}^{2} - 2$
5898	Find the Domain and Range	f(x)=-1/2x^3+3/2x-1	$f (x) = - \frac{1}{2} x^{3} + \frac{3}{2} x - 1$
5899	Find the Domain and Range	f(x)=(12x^2)/(x^4+36)	$f (x) = \frac{12 x^{2}}{x^{4} + 36}$
5900	Find the Domain and Range	f(x)=(1-3x)/(1-x)	$f (x) = \frac{1 - 3 x}{1 - x}$