Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38701	Find the Domain and Range	f(x)=-(x-3)^2-4	$f (x) = - {(x - 3)}^{2} - 4$
38702	Find the Domain and Range	f(x)=(x-4)/(x^2+6x-4)	$f (x) = \frac{x - 4}{x^{2} + 6 x - 4}$
38703	Find the Domain and Range	f(x)=(x-4)/(x^2)	$f (x) = \frac{x - 4}{x^{2}}$
38704	Find the Domain and Range	f(x)=-(x-4)^2-9	$f (x) = - {(x - 4)}^{2} - 9$
38705	Find the Domain and Range	f(x)=((x-5)(2x+3))/((x-3)^2)	$f (x) = \frac{(x - 5) (2 x + 3)}{{(x - 3)}^{2}}$
38706	Find the Domain and Range	f(x)=(x-6)^2-9	$f (x) = {(x - 6)}^{2} - 9$
38707	Find the Domain and Range	f(x)=(x-9)^3(x+14)^5(x-8)	$f (x) = {(x - 9)}^{3} {(x + 14)}^{5} (x - 8)$
38708	Find the Domain and Range	f(x)=((2x+1)^2)/(64(2x-3)^2)	$f (x) = \frac{{(2 x + 1)}^{2}}{64 {(2 x - 3)}^{2}}$
38709	Find the Inflection Points	x/(x^2+81)	$\frac{x}{x^{2} + 81}$
38710	Find the Domain and Range	f(x)=((x+3)^2(x-6)(x^2+c))/((x+3)^2(x-4)^2)	$f (x) = \frac{{(x + 3)}^{2} (x - 6) (x^{2} + c)}{{(x + 3)}^{2} {(x - 4)}^{2}}$
38711	Find the Domain and Range	f(x)=(1/x-1/4)/(x-4)	$f (x) = \frac{\frac{1}{x} - \frac{1}{4}}{x - 4}$
38712	Find the Domain and Range	f(x)=(10^3+2000000)/(5(10)^4+25(10)^2)	$f (x) = \frac{10^{3} + 2000000}{5 {(10)}^{4} + 25 {(10)}^{2}}$
38713	Find the Domain and Range	f(x)=(6x^2-13x+6)/(6x^2-5x-6)	$f (x) = \frac{6 x^{2} - 13 x + 6}{6 x^{2} - 5 x - 6}$
38714	Find the Domain and Range	f(x)=(ax^2-b)/(x^2-4)	$f (x) = \frac{a x^{2} - b}{x^{2} - 4}$
38715	Evaluate the Function	f(x)=( natural log of x)^2 at x=2	$f (x) = x^{2} [1, 3]$
38716	Find the Domain and Range	f(x)=(x^2)/(x^2+27)	$f (x) = \frac{x^{2}}{x^{2} + 27}$
38717	Find the Domain and Range	f(x)=1/(x^2+5x-6)	$f (x) = \frac{1}{x^{2} + 5 x - 6}$
38718	Find the Domain and Range	f(x)=1/(x^2+6x-7)	$f (x) = \frac{1}{x^{2} + 6 x - 7}$
38719	Find the Domain and Range	f(x)=1/(x^2-1)	$f (x) = \frac{1}{x^{2} - 1}$
38720	Find the Domain and Range	f(x)=1/(x^2-4x-12)	$f (x) = \frac{1}{x^{2} - 4 x - 12}$
38721	Find the Domain and Range	f(x)=1/(x^2-4x-45)	$f (x) = \frac{1}{x^{2} - 4 x - 45}$
38722	Find the Domain and Range	f(x)=1/(x^2-8x-9)	$f (x) = \frac{1}{x^{2} - 8 x - 9}$
38723	Find the Domain and Range	f(x)=1/2* square root of x^2-2x-3	$f (x) = \frac{1}{2} \cdot \sqrt{x^{2} - 2 x - 3}$
38724	Find the Domain and Range	f(x)=-1/2x^2-5x-19/2	$f (x) = - \frac{1}{2} x^{2} - 5 x - \frac{19}{2}$
38725	Find the Domain and Range	f(x)=1/2x^7+5x^2	$f (x) = \frac{1}{2} x^{7} + 5 x^{2}$
38726	Find the Domain and Range	f(x)=1/2*sin(8x)-4sin(4x)	$f (x) = \frac{1}{2} \cdot \sin (8 x) - 4 \sin (4 x)$
38727	Find the Domain and Range	f(x)=1/3x^3+7/2x^2-8x+8	$f (x) = \frac{1}{3} x^{3} + \frac{7}{2} x^{2} - 8 x + 8$
38728	Find the Domain and Range	f(x)=1/3x^3-2x^2-5x+2	$f (x) = \frac{1}{3} x^{3} - 2 x^{2} - 5 x + 2$
38729	Find the Domain and Range	f(x)=1/3x^3-4x	$f (x) = \frac{1}{3} x^{3} - 4 x$
38730	Find the Domain and Range	f(x)=1/3x-2.34	$f (x) = \frac{1}{3} x - 2.34$
38731	Find the Domain and Range	f(x)=-1/4x+7	$f (x) = - \frac{1}{4} x + 7$
38732	Find the Domain and Range	f(x)=-1/5x-4	$f (x) = - \frac{1}{5} x - 4$
38733	Find the Domain and Range	f(x)=1/6x^6-8x^2	$f (x) = \frac{1}{6} x^{6} - 8 x^{2}$
38734	Find the Domain and Range	F(x)=1/(6x-1)	$F (x) = \frac{1}{6 x - 1}$
38735	Find the Domain and Range	f(x)=1/8x	$f (x) = \frac{1}{8} x$
38736	Find the Domain and Range	f(x)=(x-2)(x^2-4x-8)	$f (x) = (x - 2) (x^{2} - 4 x - 8)$
38737	Find the Domain and Range	f(x)=(x-2)(x-3)(x-1)	$f (x) = (x - 2) (x - 3) (x - 1)$
38738	Find the Domain and Range	f(x)=(x-7)(x^2-14x-98)	$f (x) = (x - 7) (x^{2} - 14 x - 98)$
38739	Find the Domain and Range	f(x)=(x^2-2x-8)/(x^2-9)	$f (x) = \frac{x^{2} - 2 x - 8}{x^{2} - 9}$
38740	Find the Domain and Range	f(x)=(x^2-3x+1)/(x-21)	$f (x) = \frac{x^{2} - 3 x + 1}{x - 21}$
38741	Find the Domain and Range	f(x)=(x^2-3x+2)/(x^3-2x^2)	$f (x) = \frac{x^{2} - 3 x + 2}{x^{3} - 2 x^{2}}$
38742	Find the Domain and Range	f(x)=(x^2-3x-10)/(x-5)	$f (x) = \frac{x^{2} - 3 x - 10}{x - 5}$
38743	Find the Domain and Range	f(x)=(x^2-49)/(x-7)	$f (x) = \frac{x^{2} - 49}{x - 7}$
38744	Find the Domain and Range	f(x)=(x^2-4x)/(4x^3-15x^2-4x)	$f (x) = \frac{x^{2} - 4 x}{4 x^{3} - 15 x^{2} - 4 x}$
38745	Find the Domain and Range	f(x)=(x^2-5)/(x-3)	$f (x) = \frac{x^{2} - 5}{x - 3}$
38746	Find the Domain and Range	f(x)=(x^2-7x-8)/(x^3+64)	$f (x) = \frac{x^{2} - 7 x - 8}{x^{3} + 64}$
38747	Find the Domain and Range	f(x)=(x^2-9x+14)/(x^2-9)	$f (x) = \frac{x^{2} - 9 x + 14}{x^{2} - 9}$
38748	Find the Domain and Range	f(x)=(x^2-x-20)/(x^2-1)	$f (x) = \frac{x^{2} - x - 20}{x^{2} - 1}$
38749	Find the Domain and Range	f(x)=1/x-5	$f (x) = \frac{1}{x} - 5$
38750	Find the Domain and Range	f(x)=1/(x+3)*(findf(-1))	$f (x) = \frac{1}{x + 3} \cdot (f i n d f (- 1))$
38751	Find the Domain and Range	f(x)=(x^3)/(x^2-36)	$f (x) = \frac{x^{3}}{x^{2} - 36}$
38752	Find the Domain and Range	f(x)=(x^3)/(8(2 natural log of x-1))	$f (x) = \frac{x^{3}}{8 (2 \ln (x) - 1)}$
38753	Find the Domain and Range	f(x)=(x^3+8x^2+11x-20)/(2x^3-x^2-26x+40)	$f (x) = \frac{x^{3} + 8 x^{2} + 11 x - 20}{2 x^{3} - x^{2} - 26 x + 40}$
38754	Find the Domain and Range	f(x)=(x^3-27)/(x^3-27x^2)	$f (x) = \frac{x^{3} - 27}{x^{3} - 27 x^{2}}$
38755	Find the Domain and Range	f(x)=(x^3-343)/(x^2-25)	$f (x) = \frac{x^{3} - 343}{x^{2} - 25}$
38756	Find the Domain and Range	f(x)=(x^3-36x)/(x-6)	$f (x) = \frac{x^{3} - 36 x}{x - 6}$
38757	Find the Domain and Range	f(x)=(x^4-5x^3+10)/(x-5)	$f (x) = \frac{x^{4} - 5 x^{3} + 10}{x - 5}$
38758	Find the Domain and Range	f(x)=(x^5-5x^3+4x)/(x^2+1)	$f (x) = \frac{x^{5} - 5 x^{3} + 4 x}{x^{2} + 1}$
38759	Find the Domain and Range	f(x)=-\|x^3+6x^2+9x+4\|	$f (x) = - \| x^{3} + 6 x^{2} + 9 x + 4 \|$
38760	Find the Domain and Range	f(x)=\|3x-7\|+7sin(5x)	$f (x) = \| 3 x - 7 \| + 7 \sin (5 x)$
38761	Find the Domain and Range	f(x)=\|x-9\|	$f (x) = \| x - 9 \|$
38762	Find the Domain and Range	f(x)=(2x^2-3x-2)/(x^2-3x+2)	$f (x) = \frac{2 x^{2} - 3 x - 2}{x^{2} - 3 x + 2}$
38763	Find the Domain and Range	f(x)=(2x^2-5x-3)/(x^2+2x-8)	$f (x) = \frac{2 x^{2} - 5 x - 3}{x^{2} + 2 x - 8}$
38764	Find the Domain and Range	f(x)=(2x^2-8)/(x^2-18)	$f (x) = \frac{2 x^{2} - 8}{x^{2} - 18}$
38765	Find the Domain and Range	f(x)=(2x^4-4x+1)/(x^2+1)	$f (x) = \frac{2 x^{4} - 4 x + 1}{x^{2} + 1}$
38766	Find the Domain and Range	f(x)=2/3x^3-7x^2+24x-72	$f (x) = \frac{2}{3} x^{3} - 7 x^{2} + 24 x - 72$
38767	Find the Domain and Range	f(x)=2/5*cos(x/3)	$f (x) = \frac{2}{5} \cdot \cos (\frac{x}{3})$
38768	Find the Domain and Range	f(x)=15x^(2/3)-10x	$f (x) = 15 x^{\frac{2}{3}} - 10 x$
38769	Find the Domain and Range	f(x)=(2x^2-x^2+49)/((x)^2)	$f (x) = \frac{2 x^{2} - x^{2} + 49}{{(x)}^{2}}$
38770	Find the Domain and Range	f(x)=(11(x)^3-239(x)^2-2390x+584000)/77000	$f (x) = \frac{11 {(x)}^{3} - 239 {(x)}^{2} - 2390 x + 584000}{77000}$
38771	Find the Domain and Range	f(x)=(12x)/(3x-9)	$f (x) = \frac{12 x}{3 x - 9}$
38772	Find the Domain and Range	f(x)=(1-3x)/(3x+8)	$f (x) = \frac{1 - 3 x}{3 x + 8}$
38773	Find the Domain and Range	f(x)=14/-9-5x	$f (x) = \frac{14}{- 9} - 5 x$
38774	Find the Domain and Range	f(x)=(-14x)/((x-2)^2)	$f (x) = \frac{- 14 x}{{(x - 2)}^{2}}$
38775	Find the Domain and Range	f(x)=(15x^(3/2))/2-6x	$f (x) = \frac{15 x^{\frac{3}{2}}}{2} - 6 x$
38776	Find the Domain and Range	f(x)=1/(x-7)	$f (x) = \frac{1}{x - 7}$
38777	Find the Domain and Range	f(x)=2x^2-4	$f (x) = 2 x^{2} - 4$
38778	Find the Domain and Range	f(x)=(2x+3)/(x-4)	$f (x) = \frac{2 x + 3}{x - 4}$
38779	Find the Domain and Range	f(x)=(-2x+8x^3)/(2-x^2+2x^4)	$f (x) = \frac{- 2 x + 8 x^{3}}{2 - x^{2} + 2 x^{4}}$
38780	Find the Domain and Range	f(x)=(2x-1)/(x-3)	$f (x) = \frac{2 x - 1}{x - 3}$
38781	Find the Domain and Range	f(x)=(2x-3)/(2x-4)	$f (x) = \frac{2 x - 3}{2 x - 4}$
38782	Find the Domain and Range	f(x)=(2x-3)/(x-2)	$f (x) = \frac{2 x - 3}{x - 2}$
38783	Find the Domain and Range	f(x)=(2x-6)/(4-x)	$f (x) = \frac{2 x - 6}{4 - x}$
38784	Find the Derivative - d/dx	-6/(x^3)	$- \frac{6}{x^{3}}$
38785	Find the Domain and Range	f(x)=(3x^2+3)/(x^2+2x-15)	$f (x) = \frac{3 x^{2} + 3}{x^{2} + 2 x - 15}$
38786	Find the Domain and Range	f(x)=(3x^2+x-4)/(2x^2-7x)	$f (x) = \frac{3 x^{2} + x - 4}{2 x^{2} - 7 x}$
38787	Find the Domain and Range	f(x)=(3x^2-14x-5)/(x-5)	$f (x) = \frac{3 x^{2} - 14 x - 5}{x - 5}$
38788	Find the Domain and Range	f(x)=(3x^2-2x-8)/(2x^2+13x+15)	$f (x) = \frac{3 x^{2} - 2 x - 8}{2 x^{2} + 13 x + 15}$
38789	Find the Domain and Range	f(x)=(3x^3+9x^2-12x-36)/(x^3+x^2-12x)	$f (x) = \frac{3 x^{3} + 9 x^{2} - 12 x - 36}{x^{3} + x^{2} - 12 x}$
38790	Find the Domain and Range	f(x)=3/2x^4-2x^3-6x^2+8	$f (x) = \frac{3}{2} x^{4} - 2 x^{3} - 6 x^{2} + 8$
38791	Find the Domain and Range	f(x)=3/(x-4)	$f (x) = \frac{3}{x - 4}$
38792	Find the Derivative - d/dx	square root of 3x+5	$\sqrt{3 x + 5}$
38793	Find the Domain and Range	f(x)=(3x)/(x-6)	$f (x) = \frac{3 x}{x - 6}$
38794	Find the Domain and Range	f(x)=3x^2-42x	$f (x) = 3 x^{2} - 42 x$
38795	Find the Domain and Range	f(x)=(3x+\|x\|)/x	$f (x) = \frac{3 x + \| x \|}{x}$
38796	Find the Domain and Range	f(x)=(3x+4)/(4x^2-2x-2)	$f (x) = \frac{3 x + 4}{4 x^{2} - 2 x - 2}$
38797	Find the Domain and Range	f(x)=(3x-2)/x	$f (x) = \frac{3 x - 2}{x}$
38798	Find the Domain and Range	f(x)=(4x^5)/(x^2-7)	$f (x) = \frac{4 x^{5}}{x^{2} - 7}$
38799	Find the Domain and Range	f(x)=-4/(x^2+5)	$f (x) = - \frac{4}{x^{2} + 5}$
38800	Find the Domain and Range	f(x)=4/(x^2+x-20)	$f (x) = \frac{4}{x^{2} + x - 20}$