Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3901	Find the Domain	f(x)=-3	$f (x) = - 3$
3902	Find the Domain	f(x) = square root of 4-5x	$f (x) = \sqrt{4 - 5 x}$
3903	Find the Domain	f(x) = square root of 81-x^2	$f (x) = \sqrt{81 - x^{2}}$
3904	Find the Domain	f(x) = cube root of x-1	$f (x) = \sqrt[3]{x - 1}$
3905	Find the Domain	f(x)=x/(x^2-9)	$f (x) = \frac{x}{x^{2} - 9}$
3906	Find the Domain	1/( fourth root of x^2-5x)	$\frac{1}{\sqrt[4]{x^{2} - 5 x}}$
3907	Find the Domain	f(x)=( square root of x-2)/(x-5)	$f (x) = \frac{\sqrt{x - 2}}{x - 5}$
3908	Find the Domain	f(x)=1/( square root of x-5)	$f (x) = \frac{1}{\sqrt{x - 5}}$
3909	Find the Domain	f(x)=( square root of x+6)/(6+x)	$f (x) = \frac{\sqrt{x + 6}}{6 + x}$
3910	Find the Domain	f(x)=1/(4/(x-1)-2)	$f (x) = \frac{1}{\frac{4}{x - 1} - 2}$
3911	Find the Domain	p(t)=(2t-3)/(t+2)	$p (t) = \frac{2 t - 3}{t + 2}$
3912	Find the Domain and Range	(2x-4)/(x^2-4)	$\frac{2 x - 4}{x^{2} - 4}$
3913	Find the Domain and Range	f(x)=(x^2+x)/(x-1)	$f (x) = \frac{x^{2} + x}{x - 1}$
3914	Find the Domain and Range	f(x)=(x^2+8x-2)/(x-2)	$f (x) = \frac{x^{2} + 8 x - 2}{x - 2}$
3915	Find the Domain and Range	f(x)=(x^2+x-30)/(x-7)	$f (x) = \frac{x^{2} + x - 30}{x - 7}$
3916	Find the Domain and Range	f(x)=(x-4)/(x-9)	$f (x) = \frac{x - 4}{x - 9}$
3917	Find the Domain and Range	f(x)=(6x)/(x^2-16)	$f (x) = \frac{6 x}{x^{2} - 16}$
3918	Find the Domain and Range	f(x)=(9x+108)/(-4x+12)	$f (x) = \frac{9 x + 108}{- 4 x + 12}$
3919	Find the Domain and Range	f(x)=(x^2-9)/x	$f (x) = \frac{x^{2} - 9}{x}$
3920	Find the Domain and Range	f(x)=(x^2-4)/x	$f (x) = \frac{x^{2} - 4}{x}$
3921	Find the Domain and Range	f(x)=(x^3-1)/(x-1)	$f (x) = \frac{x^{3} - 1}{x - 1}$
3922	Find the Domain and Range	f(x)=1/(x^2)-3	$f (x) = \frac{1}{x^{2}} - 3$
3923	Find the Domain and Range	f(x)=(2x^3+11x^2+5x-1)/(x^2+6x+5)	$f (x) = \frac{2 x^{3} + 11 x^{2} + 5 x - 1}{x^{2} + 6 x + 5}$
3924	Find the Domain and Range	f(x)=4/(x^2+6x+5)	$f (x) = \frac{4}{x^{2} + 6 x + 5}$
3925	Find the Inverse	f(x)=2/(x-1)	$f (x) = \frac{2}{x - 1}$
3926	Find the Inverse	f(x)=(2x-1)/3	$f (x) = \frac{2 x - 1}{3}$
3927	Find the Inverse	f(x)=6/( square root of x)	$f (x) = \frac{6}{\sqrt{x}}$
3928	Find the Inverse	f(x)=(6x)/(3x-5)	$f (x) = \frac{6 x}{3 x - 5}$
3929	Find the Inverse	f(x)=3/(x-2)	$f (x) = \frac{3}{x - 2}$
3930	Find the Inverse	f(x)=3^(x-1)	$f (x) = 3^{x - 1}$
3931	Find the Inverse	f(x)=(3-x)/4	$f (x) = \frac{3 - x}{4}$
3932	Find the Inverse	f(x)=(3x-6)/4	$f (x) = \frac{3 x - 6}{4}$
3933	Find the Inverse	f(x)=1-x^2	$f (x) = 1 - x^{2}$
3934	Find the Inverse	f(x)=(x+3)/(x-2)	$f (x) = \frac{x + 3}{x - 2}$
3935	Find the Inverse	f(x)=x^2+8x	$f (x) = x^{2} + 8 x$
3936	Find the Inverse	f(x)=- square root of x+1	$f (x) = - \sqrt{x + 1}$
3937	Find the Inverse	f(x)=e^(x+4)	$f (x) = e^{x + 4}$
3938	Find the Inverse	f(x)=4-x^2	$f (x) = 4 - x^{2}$
3939	Find the Inverse	f(x)=-4x^2+1	$f (x) = - 4 x^{2} + 1$
3940	Find the Inverse	f(x) = log of x+8	$f (x) = \log (x + 8)$
3941	Find the Inverse	f(x)=8x^3-5	$f (x) = 8 x^{3} - 5$
3942	Find the Inverse	g(x)=(-4x-4)/5	$g (x) = \frac{- 4 x - 4}{5}$
3943	Find the Inverse	f(x)=(4x)/(x+5)	$f (x) = \frac{4 x}{x + 5}$
3944	Find the Inverse	f(x)=3/(x+1)	$f (x) = \frac{3}{x + 1}$
3945	Find the Inverse	f(x)=3^(x+1)-2	$f (x) = 3^{x + 1} - 2$
3946	Find the Inverse	f(x)=1/(x+7)	$f (x) = \frac{1}{x + 7}$
3947	Find the Inverse	f(x)=1/(2x+5)	$f (x) = \frac{1}{2 x + 5}$
3948	Find the Inverse	f(x)=x^3(3e^(3x))+2x^2e^(3x)	$f (x) = x^{3} (3 e^{3 x}) + 2 x^{2} e^{3 x}$
3949	Find the Inverse	f(x) = log base 4 of x-1	$f (x) = \log_{4} (x - 1)$
3950	Find the Inverse	f(x) = log base 2 of x-1	$f (x) = \log_{2} (x - 1)$
3951	Find the Inverse	f(x) = log base 6 of x-1	$f (x) = \log_{6} (x - 1)$
3952	Find the Inverse	f(x)=7/(x-6)	$f (x) = \frac{7}{x - 6}$
3953	Find the Inverse	f(x)=(8x-6)/15	$f (x) = \frac{8 x - 6}{15}$
3954	Find the Inverse	f(x) = square root of 3x-4	$f (x) = \sqrt{3 x - 4}$
3955	Find the Inverse	f(x) = natural log of x+2+ natural log of 3	$f (x) = \ln (x + 2) + \ln (3)$
3956	Find the Inverse	f(x) = natural log of x-5	$f (x) = \ln (x - 5)$
3957	Find the Inverse	f(x)=2x+1/3	$f (x) = 2 x + \frac{1}{3}$
3958	Find the Inverse	f(x)=3 square root of x	$f (x) = 3 \sqrt{x}$
3959	Find the Inverse	f(x) = natural log of x+6	$f (x) = \ln (x + 6)$
3960	Find the Inverse	g(x)=3/(x^2+2x)	$g (x) = \frac{3}{x^{2} + 2 x}$
3961	Find the Inverse	g(x)=(-x-5)/3	$g (x) = \frac{- x - 5}{3}$
3962	Find the Inverse	v(x)=( square root of -x)/3-3	$v (x) = \frac{\sqrt{- x}}{3} - 3$
3963	Find the Maximum/Minimum Value	f(x)=2x^2-16x-6	$f (x) = 2 x^{2} - 16 x - 6$
3964	Find the Maximum/Minimum Value	f(x)=3x^2+24x-8	$f (x) = 3 x^{2} + 24 x - 8$
3965	Find the Maximum/Minimum Value	f(x)=5x^2+3x-7	$f (x) = 5 x^{2} + 3 x - 7$
3966	Find the Maximum/Minimum Value	f(x)=7+3x-x^2	$f (x) = 7 + 3 x - x^{2}$
3967	Find the Maximum/Minimum Value	h(x)=10x-0.01x^2	$h (x) = 10 x - 0.01 x^{2}$
3968	Find the Midpoint	(1,1) , (9,7)	$(1, 1)$ , $(9, 7)$
3969	Find the Domain	f(x)=x/(x^2-5x)	$f (x) = \frac{x}{x^{2} - 5 x}$
3970	Find the Vertex	f(x)=x^2-8	$f (x) = x^{2} - 8$
3971	Find the Vertex	f(x)=x^2-4x+3	$f (x) = x^{2} - 4 x + 3$
3972	Find the Vertex	f(x)=x^2-4	$f (x) = x^{2} - 4$
3973	Find the Vertex	f(x)=-x^2-3x+3	$f (x) = - x^{2} - 3 x + 3$
3974	Find the Vertex	f(x)=x^2-14x+6	$f (x) = x^{2} - 14 x + 6$
3975	Find the Vertex	f(x)=x^2-2x	$f (x) = x^{2} - 2 x$
3976	Find the Vertex	f(x)=x^2-2x+1	$f (x) = x^{2} - 2 x + 1$
3977	Find the Vertex	f(x)=x^2-2x-2	$f (x) = x^{2} - 2 x - 2$
3978	Find the Vertex	f(x)=x^2+6x+9	$f (x) = x^{2} + 6 x + 9$
3979	Find the Vertex	f(x)=-x^2+6x-11	$f (x) = - x^{2} + 6 x - 11$
3980	Find the Vertex	f(x)=x^2+x+5/4	$f (x) = x^{2} + x + \frac{5}{4}$
3981	Find the Vertex	f(x)=x^2+10x+14	$f (x) = x^{2} + 10 x + 14$
3982	Find the Vertex	f(x)=x^2+16x-8	$f (x) = x^{2} + 16 x - 8$
3983	Find the Vertex	f(x)=1/2x^2-4	$f (x) = \frac{1}{2} x^{2} - 4$
3984	Find the Vertex	f(x)=1/4x^2-2x-12	$f (x) = \frac{1}{4} x^{2} - 2 x - 12$
3985	Find the Vertex	f(x)=-2x^2-8x+9	$f (x) = - 2 x^{2} - 8 x + 9$
3986	Find the Vertex	f(x)=3x^2-18x+24	$f (x) = 3 x^{2} - 18 x + 24$
3987	Find the Vertex	f(x)=3x^2-12x+11	$f (x) = 3 x^{2} - 12 x + 11$
3988	Find the Vertex	f(x)=2x^2-12x+23	$f (x) = 2 x^{2} - 12 x + 23$
3989	Find the Vertex	f(x)=2x^2-6x+5	$f (x) = 2 x^{2} - 6 x + 5$
3990	Find the Vertex	f(x)=x^2-8x	$f (x) = x^{2} - 8 x$
3991	Find the Vertex	f(x)=x^2-8x+8	$f (x) = x^{2} - 8 x + 8$
3992	Find the Vertex	f(x)=x^2-x-6	$f (x) = x^{2} - x - 6$
3993	Find the Vertex	f(x)=-4x^2-16x+1	$f (x) = - 4 x^{2} - 16 x + 1$
3994	Find the Vertex	f(x)=4x^2+8x-7	$f (x) = 4 x^{2} + 8 x - 7$
3995	Find the Vertex	f(x)=-4(x+2)^2+7	$f (x) = - 4 {(x + 2)}^{2} + 7$
3996	Find the Vertex	f(x)=-5x^2-10x+5	$f (x) = - 5 x^{2} - 10 x + 5$
3997	Find the Vertex	f(x)=5-4x-x^2	$f (x) = 5 - 4 x - x^{2}$
3998	Find the Vertex	f(x)=6x^2+12x-5	$f (x) = 6 x^{2} + 12 x - 5$
3999	Find the Vertex	f(x)=8x-x^2-25	$f (x) = 8 x - x^{2} - 25$
4000	Find the Maximum/Minimum Value	f(x)=x^2+2x-15	$f (x) = x^{2} + 2 x - 15$