Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38601	Find the Domain and Range	f(x)=ax^3+bx^2+cx	$f (x) = a x^{3} + b x^{2} + c x$
38602	Find the Domain and Range	f(x)=b(5)^2-2	$f (x) = b {(5)}^{2} - 2$
38603	Find the Domain and Range	f(x)=(c-4)/(c^2-5c+4)	$f (x) = \frac{c - 4}{c^{2} - 5 c + 4}$
38604	Find the Domain and Range	f(x)=e^(0.5x)+256e^(-0.5x)	$f (x) = e^{0.5 x} + 256 e^{- 0.5 x}$
38605	Find the Domain and Range	f(x)=-e^((2x)/2)	$f (x) = - e^{\frac{2 x}{2}}$
38606	Find the Domain and Range	f(x)=-e^(5/7x)	$f (x) = - e^{\frac{5}{7} x}$
38607	Find the Domain and Range	f(x)=-a^2b^3	$f (x) = - a^{2} b^{3}$
38608	Find the Domain and Range	f(x)=(9x)/(x+8)	$f (x) = \frac{9 x}{x + 8}$
38609	Find the Domain and Range	f(x)=-2/(x+2)	$f (x) = \frac{- 2}{x + 2}$
38610	Find the Domain and Range	f(x)=(2x^2+x-3)/(2x^2-7x)	$f (x) = \frac{2 x^{2} + x - 3}{2 x^{2} - 7 x}$
38611	Find the Domain and Range	f(x)=(4x-5)/x	$f (x) = \frac{4 x - 5}{x}$
38612	Find the Domain and Range	f(x)=(4xcos(4x)-sin(4x))/(5x^2)	$f (x) = \frac{4 x \cos (4 x) - \sin (4 x)}{5 x^{2}}$
38613	Find the Domain and Range	f(x)=(-5x^2+20)/((x^2+4)^2)	$f (x) = \frac{- 5 x^{2} + 20}{{(x^{2} + 4)}^{2}}$
38614	Find the Domain and Range	f(x)=(5x^2+36)/(x^2-36)	$f (x) = \frac{5 x^{2} + 36}{x^{2} - 36}$
38615	Find the Domain and Range	f(x)=(5x^2-19x-4)/(x-4)	$f (x) = \frac{5 x^{2} - 19 x - 4}{x - 4}$
38616	Find the Domain and Range	f(x)=-5/(x^2-9)	$f (x) = - \frac{5}{x^{2} - 9}$
38617	Find the Domain and Range	f(x)=5/(x^3-1)	$f (x) = \frac{5}{x^{3} - 1}$
38618	Evaluate the Limit	limit as x approaches 53 of (x-53)/( square root of x+11-8)	$lim_{x \to 53} \frac{x - 53}{\sqrt{x + 11} - 8}$
38619	Find the Domain and Range	f(x)=5/7x-2	$f (x) = \frac{5}{7} x - 2$
38620	Find the Domain and Range	f(x)=-5/x	$f (x) = - \frac{5}{x}$
38621	Find the Domain and Range	f(x)=5/(x-3)	$f (x) = \frac{5}{x - 3}$
38622	Find the Domain and Range	f(x)=8/(x^2+4)	$f (x) = \frac{8}{x^{2} + 4}$
38623	Find the Domain and Range	f(x)=8/(1+e^(-0.5/x))	$f (x) = \frac{8}{1 + e^{- \frac{0.5}{x}}}$
38624	Find the Domain and Range	f(x)=80/(2+3e^(-10x))	$f (x) = \frac{80}{2 + 3 e^{- 10 x}}$
38625	Find the Domain and Range	f(x)=80/(x-5)	$f (x) = \frac{80}{x - 5}$
38626	Find the Domain and Range	f(x)=(8x)/(x^2-25)	$f (x) = \frac{8 x}{x^{2} - 25}$
38627	Find the Domain and Range	f(x)=(8x-1)/x	$f (x) = \frac{8 x - 1}{x}$
38628	Find the Domain and Range	f(x)=(8x-5)/x	$f (x) = \frac{8 x - 5}{x}$
38629	Find the Domain and Range	f(x)=(8x-9)/(2x+3)+x^2	$f (x) = \frac{8 x - 9}{2 x + 3} + x^{2}$
38630	Find the Domain and Range	f(x)=(-9e^(6x))/(4x+3)	$f (x) = \frac{- 9 e^{6 x}}{4 x + 3}$
38631	Find the Domain and Range	f(x)=(9x^2+9x-18)/(3x-6)	$f (x) = \frac{9 x^{2} + 9 x - 18}{3 x - 6}$
38632	Find the Domain and Range	f(x)=(9x^2-4)/(3x^2+4x+1)	$f (x) = \frac{9 x^{2} - 4}{3 x^{2} + 4 x + 1}$
38633	Find the Domain and Range	f(x)=9/4*(x^2-1)^(2/3)	$f (x) = \frac{9}{4} \cdot {(x^{2} - 1)}^{\frac{2}{3}}$
38634	Find the Domain and Range	f(x)=(9-3x)/(x-10)	$f (x) = \frac{9 - 3 x}{x - 10}$
38635	Find the Domain and Range	f(x)=(9-3x)/(x-5)	$f (x) = \frac{9 - 3 x}{x - 5}$
38636	Find the Domain and Range	f(x)=(9x)/(x^2-16)	$f (x) = \frac{9 x}{x^{2} - 16}$
38637	Find the Domain and Range	f(x)=6/(x-7)	$f (x) = \frac{6}{x - 7}$
38638	Find the Domain and Range	f(x)=(6-2x^2)/(x^2-4)	$f (x) = \frac{6 - 2 x^{2}}{x^{2} - 4}$
38639	Find the Domain and Range	f(x)=(6-3x)/(x-10)	$f (x) = \frac{6 - 3 x}{x - 10}$
38640	Find the Domain and Range	f(x)=(6x+4)/6-2/3	$f (x) = \frac{6 x + 4}{6} - \frac{2}{3}$
38641	Find the Domain and Range	f(x)=(6x+9)/(x^4+6x^3+9x^2)	$f (x) = \frac{6 x + 9}{x^{4} + 6 x^{3} + 9 x^{2}}$
38642	Find the Domain and Range	f(x)=(6x-1)/x	$f (x) = \frac{6 x - 1}{x}$
38643	Find the Domain and Range	f(x)=(7x^2)/(x-2)	$f (x) = \frac{7 x^{2}}{x - 2}$
38644	Find the Domain and Range	f(x)=(-7x^2-28x+147)/(-5x^2+60x-135)	$f (x) = \frac{- 7 x^{2} - 28 x + 147}{- 5 x^{2} + 60 x - 135}$
38645	Find the Domain and Range	f(x)=7/(5x^5)	$f (x) = \frac{7}{5 x^{5}}$
38646	Find the Domain and Range	f(x)=7/(4-x^2)	$f (x) = \frac{7}{4 - x^{2}}$
38647	Find the Domain and Range	f(x)=(7x)/(x^2-25)	$f (x) = \frac{7 x}{x^{2} - 25}$
38648	Find the Domain and Range	f(x)=(7-x)/(7+x)	$f (x) = \frac{7 - x}{7 + x}$
38649	Find the Domain and Range	f(x)=(7x)/(x-2)	$f (x) = \frac{7 x}{x - 2}$
38650	Find the Domain and Range	f(x)=(7x-1)/x	$f (x) = \frac{7 x - 1}{x}$
38651	Find the Domain and Range	f(x)=(7x-3)/2	$f (x) = \frac{7 x - 3}{2}$
38652	Find the Domain and Range	f(x)=sin(x)^2f(x)=sin(2x)^2[o,3.141592]	$f (x) = \sin^{2} (x) f (x) = \sin^{2} (2 x) [o, 3.141592]$
38653	Find the Domain and Range	f(x)=(tan(kx))/x	$f (x) = \frac{\tan (k x)}{x}$
38654	Find the Domain and Range	f(x)=te^(-t)	$f (x) = t e^{- t}$
38655	Find the Domain and Range	f(x) = square root of 1+6x	$f (x) = \sqrt{1 + 6 x}$
38656	Find the Domain and Range	f(x) = square root of x^2+10x+34	$f (x) = \sqrt{x^{2} + 10 x + 34}$
38657	Evaluate the Limit	limit as h approaches 0 of (1/(x+h)-1/x)/h	$lim_{h \to 0} \frac{\frac{1}{x + h} - \frac{1}{x}}{h}$
38658	Find the Domain and Range	f(x) = square root of x^2-5x-14	$f (x) = \sqrt{x^{2} - 5 x - 14}$
38659	Find the Domain and Range	f(x)=e^x-e^(2x)	$f (x) = e^{x} - e^{2 x}$
38660	Find the Domain and Range	f(x)=e^x-22x	$f (x) = e^{x} - 22 x$
38661	Find the Domain and Range	f(x) = log base 2 of x-2-1	$f (x) = \log_{2} (x - 2) - 1$
38662	Find the Domain and Range	f(x)=pi/4*sin(x)	$f (x) = \frac{π}{4} \cdot \sin (x)$
38663	Find the Domain and Range	f(x)=(sin(pix))/(cos(pix))	$f (x) = \frac{\sin (π x)}{\cos (π x)}$
38664	Find the Domain and Range	f(x)=(sin(pix))/(x+1)	$f (x) = \frac{\sin (π x)}{x + 1}$
38665	Evaluate the Limit	limit as x approaches 0 of (x-3)/( square root of x+1-2)	$lim_{x \to 0} \frac{x - 3}{\sqrt{x + 1} - 2}$
38666	Evaluate the Limit	limit as x approaches infinity of (e^(6x)+e^(-6x))/(e^(6x)-e^(-6x))	$lim_{x \to \infty} \frac{e^{6 x} + e^{- 6 x}}{e^{6 x} - e^{- 6 x}}$
38667	Find the Domain and Range	f(x)=(x-x^2)/(2-3x+x^2)	$f (x) = \frac{x - x^{2}}{2 - 3 x + x^{2}}$
38668	Find the Domain and Range	f(x)=x/((x+20)(x-4))	$f (x) = \frac{x}{(x + 20) (x - 4)}$
38669	Find the Domain and Range	f(x)=x/((2x-7)^9)	$f (x) = \frac{x}{{(2 x - 7)}^{9}}$
38670	Evaluate the Limit	limit as x approaches infinity of (e^(9x)+e^(-9x))/(e^(9x)-e^(-9x))	$lim_{x \to \infty} \frac{e^{9 x} + e^{- 9 x}}{e^{9 x} - e^{- 9 x}}$
38671	Find the Domain and Range	f(x)=x/(x^2+100)	$f (x) = \frac{x}{x^{2} + 100}$
38672	Find the Domain and Range	f(x)=x/(x^2+169)	$f (x) = \frac{x}{x^{2} + 169}$
38673	Find the Domain and Range	f(x)=x/(x^2+196)	$f (x) = \frac{x}{x^{2} + 196}$
38674	Find the Domain and Range	f(x)=x/(x^2+64)	$f (x) = \frac{x}{x^{2} + 64}$
38675	Find the Domain and Range	f(x) = square root of natural log of e^(-x)	$f (x) = \sqrt{\ln (e^{- x})}$
38676	Find the Domain and Range	f(x) = square root of t-4	$f (x) = \sqrt{t - 4}$
38677	Find the Domain and Range	f(x)=x/(x^2-5x-36)	$f (x) = \frac{x}{x^{2} - 5 x - 36}$
38678	Find the Domain and Range	f(x)=x/( natural log of x)	$f (x) = \frac{x}{\ln (x)}$
38679	Find the Domain and Range	f(x)=(x^2)/7* square root of 16-(x^3)/7	$f (x) = \frac{x^{2}}{7} \cdot \sqrt{16 - \frac{x^{3}}{7}}$
38680	Find the Derivative - d/dx	(5x^6+2x^3)^4	${(5 x^{6} + 2 x^{3})}^{4}$
38681	Find the Derivative - d/dx	1/5	$\frac{1}{5}$
38682	Find the Domain and Range	f(x)=(x^2+10x+25)/(\|x\|+5)	$f (x) = \frac{x^{2} + 10 x + 25}{\| x \| + 5}$
38683	Find the Domain and Range	f(x)=(x^2+12)/(2x+1)	$f (x) = \frac{x^{2} + 12}{2 x + 1}$
38684	Find the Domain and Range	f(x)=(x^2+12x+27)/(x^2+4x+2)	$f (x) = \frac{x^{2} + 12 x + 27}{x^{2} + 4 x + 2}$
38685	Find the Domain and Range	f(x)=(x^2+2x-24)/(x^2)	$f (x) = \frac{x^{2} + 2 x - 24}{x^{2}}$
38686	Find the Domain and Range	f(x)=(x^2+2x-35)/(x^2)	$f (x) = \frac{x^{2} + 2 x - 35}{x^{2}}$
38687	Find the Domain and Range	f(x)=(x^2+2x-8)/(x+3)	$f (x) = \frac{x^{2} + 2 x - 8}{x + 3}$
38688	Find the Domain and Range	f(x)=(x^2+3)/(x^2-25)	$f (x) = \frac{x^{2} + 3}{x^{2} - 25}$
38689	Find the Domain and Range	f(x)=(x^2+3x-28)/(x^2-10x+24)	$f (x) = \frac{x^{2} + 3 x - 28}{x^{2} - 10 x + 24}$
38690	Find the Domain and Range	f(x)=(x^2+3x-28)/(x^2-8x+16)	$f (x) = \frac{x^{2} + 3 x - 28}{x^{2} - 8 x + 16}$
38691	Find the Domain and Range	f(x)=(x^2+3x-40)/(x^2-12x+35)	$f (x) = \frac{x^{2} + 3 x - 40}{x^{2} - 12 x + 35}$
38692	Find the Domain and Range	f(x)=(x^2+4x)/(3x^3-11x^2-4x)	$f (x) = \frac{x^{2} + 4 x}{3 x^{3} - 11 x^{2} - 4 x}$
38693	Find the Domain and Range	f(x)=(x^2+4x-21)/(x^2)	$f (x) = \frac{x^{2} + 4 x - 21}{x^{2}}$
38694	Find the Domain and Range	f(x)=(x^2+7x+12)/(x^2-16)	$f (x) = \frac{x^{2} + 7 x + 12}{x^{2} - 16}$
38695	Find the Domain and Range	f(x)=(x^2+8)/(x^2-81)	$f (x) = \frac{x^{2} + 8}{x^{2} - 81}$
38696	Find the Domain and Range	f(x)=(x^2-12x+36)/(x-6)	$f (x) = \frac{x^{2} - 12 x + 36}{x - 6}$
38697	Find the Domain and Range	f(x)=(x^2-15x+6)/(15x)	$f (x) = \frac{x^{2} - 15 x + 6}{15 x}$
38698	Find the Domain and Range	f(x)=(x^2-25)/(x^2)	$f (x) = \frac{x^{2} - 25}{x^{2}}$
38699	Find the Domain and Range	f(x)=(x^2-2x+4)/(x-2)	$f (x) = \frac{x^{2} - 2 x + 4}{x - 2}$
38700	Find the Domain and Range	f(x)=(x-1)^2-5	$f (x) = {(x - 1)}^{2} - 5$