Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
102501	Find the Domain	f(x) = square root of 3x+9	$f (x) = \sqrt{3 x + 9}$
102502	Find g(f(x))	f(x)=x^2+6 g(x)=x^2-6	$f (x) = x^{2} + 6$ $g (x) = x^{2} - 6$
102503	Find g(f(x))	f(x)=4x , g(x)=x+8	$f (x) = 4 x$ , $g (x) = x + 8$
102504	Find the Inverse	f(x)=(3x)/(x+2)	$f (x) = \frac{3 x}{x + 2}$
102505	Find the Inverse	f(x)=-4/3x	$f (x) = - \frac{4}{3} x$
102506	Find the Inverse	f(x)=7^x	$f (x) = 7^{x}$
102507	Evaluate	(4-6i)/(-2+2i)	$\frac{4 - 6 i}{- 2 + 2 i}$
102508	Find g(f(x))	f(x)=8x-4 , g(x)=9x+7	$f (x) = 8 x - 4$ , $g (x) = 9 x + 7$
102509	Find the Inverse	f(x)=7/(6x-5)	$f (x) = \frac{7}{6 x - 5}$
102510	Find g(f(x))	f(x)=49-x^2 , g(x)=7-x	$f (x) = 49 - x^{2}$ , $g (x) = 7 - x$
102511	Find the Inverse	f(x)=(4x+5)/7	$f (x) = \frac{4 x + 5}{7}$
102512	Find the Inverse	f(x) = cube root of x+7	$f (x) = \sqrt[3]{x + 7}$
102513	Find the Inverse	f(x) = cube root of x+6	$f (x) = \sqrt[3]{x + 6}$
102514	Find g(f(x))	f(x)=5x-6 , g(x)=4-4x	$f (x) = 5 x - 6$ , $g (x) = 4 - 4 x$
102515	Find the Inverse	f(x) = cube root of x+2	$f (x) = \sqrt[3]{x} + 2$
102516	Find the Inverse	f(x) = cube root of x-2	$f (x) = \sqrt[3]{x} - 2$
102517	Find the Inverse	f(x) = cube root of x-3	$f (x) = \sqrt[3]{x} - 3$
102518	Find g(f(x))	f(x)=x^2-4 , g(x)=4x-3	$f (x) = x^{2} - 4$ , $g (x) = 4 x - 3$
102519	Find the Inverse	f(x)=x^2-12	$f (x) = x^{2} - 12$
102520	Find the Inverse	f(x) = cube root of 3x	$f (x) = \sqrt[3]{3 x}$
102521	Find g(f(x))	f(x)=6/(x-9) , g(x)=6/x+9	$f (x) = \frac{6}{x - 9}$ , $g (x) = \frac{6}{x} + 9$
102522	Find the Inverse	f(x) = log base 2 of x	$f (x) = \log_{2} (x)$
102523	Solve for j	(-4j-(-5))/-7=13	$\frac{- 4 j - (- 5)}{- 7} = 13$
102524	Find the Inverse	f(x)=1/3x-4	$f (x) = \frac{1}{3} x - 4$
102525	Find the Inverse	f(x)=1/4x-2	$f (x) = \frac{1}{4} x - 2$
102526	Find g(f(x))	f(x)=9/(1-5x) , g(x)=1/x	$f (x) = \frac{9}{1 - 5 x}$ , $g (x) = \frac{1}{x}$
102527	Find the Inverse	f(x)=2/(3+x)	$f (x) = \frac{2}{3 + x}$
102528	Find the Inverse	f(x)=1/6x	$f (x) = \frac{1}{6} x$
102529	Find g(f(x))	f(x)=2-9x , g(x)=-7x+9	$f (x) = 2 - 9 x$ , $g (x) = - 7 x + 9$
102530	Find g(f(x))	f(x)=5x^2-5 , g(x)=4/x	$f (x) = 5 x^{2} - 5$ , $g (x) = \frac{4}{x}$
102531	Simplify	square root of 205	$\sqrt{205}$
102532	Solve by Factoring	square root of 2x-7=7	$\sqrt{2 x - 7} = 7$
102533	Find g(f(x))	f(x) = cube root of x^2+2x , g(x)=4x-5	$f (x) = \sqrt[3]{x^{2} + 2 x}$ , $g (x) = 4 x - 5$
102534	Solve Using the Quadratic Formula	-2x^2+4x=0	$- 2 x^{2} + 4 x = 0$
102535	Write in Exponential Form	natural log of x=5	$\ln (x) = 5$
102536	Expand the Logarithmic Expression	log base b of b^n	$\log_{b} (b^{n})$
102537	Find g(f(x))	f(x)=4x-2 , g(x)=(x+4)/2	$f (x) = 4 x - 2$ , $g (x) = \frac{x + 4}{2}$
102538	Evaluate	4 natural log of e^7	$4 \ln (e^{7})$
102539	Find the Inverse	f(x)=(x-3)/2	$f (x) = \frac{x - 3}{2}$
102540	Solve by Substitution	5x-2y=18 , 3x+3y=15	$5 x - 2 y = 18$ , $3 x + 3 y = 15$
102541	Solve by Substitution	2x+y=5 , x+y=4	$2 x + y = 5$ , $x + y = 4$
102542	Factor	64m^2-169n^2	$64 m^{2} - 169 n^{2}$
102543	Find Any Equation Perpendicular to the Line	4x-2y=1	$4 x - 2 y = 1$
102544	Find the Standard Form of the Parabola	y^2+6y+x+10=0	$y^{2} + 6 y + x + 10 = 0$
102545	Graph	f(x)=(x^4)/8-15/8x^2-(5x)/4+3	$f (x) = \frac{x^{4}}{8} - \frac{15}{8} x^{2} - \frac{5 x}{4} + 3$
102546	Find the Roots (Zeros)	f(x)=7x^2+16x-48	$f (x) = 7 x^{2} + 16 x - 48$
102547	Find the Roots (Zeros)	f(x)=(x-3)^2-1	$f (x) = {(x - 3)}^{2} - 1$
102548	Find g(f(x))	f(x)=(x-7)/8 , g(x)=8x+7	$f (x) = \frac{x - 7}{8}$ , $g (x) = 8 x + 7$
102549	Find the Domain and Range	p(x)=x^2-6x+5	$p (x) = x^{2} - 6 x + 5$
102550	Find g(f(x))	f(x) = square root of x ; g(x)=3x-5	$f (x) = \sqrt{x}$ ; $g (x) = 3 x - 5$
102551	Find the Domain and Range	P(x)=-25x^2+300x	$P (x) = - 25 x^{2} + 300 x$
102552	Find the Domain and Range	f(x)=x+4	$f (x) = x + 4$
102553	Find g(f(x))	f(x)=3x-2 , g(x)=9/(x+2)	$f (x) = 3 x - 2$ , $g (x) = \frac{9}{x + 2}$
102554	Solve Using the Square Root Property	3(2b+3)^2=36	$3 {(2 b + 3)}^{2} = 36$
102555	Find the Domain and Range	f(x)=-x^4+36x^2	$f (x) = - x^{4} + 36 x^{2}$
102556	Find the Domain and Range	f(x)=-x^4+4x^2	$f (x) = - x^{4} + 4 x^{2}$
102557	Find the Domain and Range	f(x)=x^2-x-56	$f (x) = x^{2} - x - 56$
102558	Find g(f(x))	f(x)=x^3 , g(x)=3x-2	$f (x) = x^{3}$ , $g (x) = 3 x - 2$
102559	Add	(2b)/((b+a)^2)+(2a)/(b^2-a^2)	$\frac{2 b}{{(b + a)}^{2}} + \frac{2 a}{b^{2} - a^{2}}$
102560	Find g(f(x))	f(x)=4x-12 , g(x)=x/4+3	$f (x) = 4 x - 12$ , $g (x) = \frac{x}{4} + 3$
102561	Divide	((z^2-y^2)/(a^2-b^2))÷((z+y)/(a-b))	$\frac{z^{2} - y^{2}}{a^{2} - b^{2}} \div \frac{z + y}{a - b}$
102562	Find g(f(x))	f(x)=x^3-13 , g(x)=x	$f (x) = x^{3} - 13$ , $g (x) = x$
102563	Find the Domain and Range	f(x)=x^2-6x+2	$f (x) = x^{2} - 6 x + 2$
102564	Find the Domain and Range	f(x)=x^2-6x+6	$f (x) = x^{2} - 6 x + 6$
102565	Simplify	(x^2+8x+15)/(x^2-3x-18)	$\frac{x^{2} + 8 x + 15}{x^{2} - 3 x - 18}$
102566	Find g(f(x))	f(x)=x^2+3 ; g(x)=6x	$f (x) = x^{2} + 3$ ; $g (x) = 6 x$
102567	Find the Domain and Range	f(x)=-x^2+6x-9	$f (x) = - x^{2} + 6 x - 9$
102568	Find g(f(x))	g(x)=y-7 , f(x)=x^3-9x^2-34x+336	$g (x) = y - 7$ , $f (x) = x^{3} - 9 x^{2} - 34 x + 336$
102569	Simplify	(a^3+a^2b)/(5a)*25/(3b+3a)	$\frac{a^{3} + a^{2} b}{5 a} \cdot \frac{25}{3 b + 3 a}$
102570	Find g(f(x))	f(x)=7/2x , g(x)=-2/7x	$f (x) = \frac{7}{2} x$ , $g (x) = - \frac{2}{7} x$
102571	Find g(f(x))	f(x)=100 , g(x)=0.01	$f (x) = 100$ , $g (x) = 0.01$
102572	Find the Domain and Range	f(x)=4x^2	$f (x) = 4 x^{2}$
102573	Find g(f(x))	f(x)=x/(x+9) ; g(x)=27/(x+1)	$f (x) = \frac{x}{x + 9}$ ; $g (x) = \frac{27}{x + 1}$
102574	Find the Domain and Range	f(x)=3x+2	$f (x) = 3 x + 2$
102575	Simplify	(x^2-x-20)/(x^2-13x+40)	$\frac{x^{2} - x - 20}{x^{2} - 13 x + 40}$
102576	Simplify	15/( square root of 3)	$\frac{15}{\sqrt{3}}$
102577	Solve for x	-9/4x<-72	$- \frac{9}{4} x < - 72$
102578	Solve for x	2(4x+3)<5x+21	$2 (4 x + 3) < 5 x + 21$
102579	Find the Roots (Zeros)	f(x)=(1/3)^x	$f (x) = {(\frac{1}{3})}^{x}$
102580	Simplify	w^3-w(w^2+2w-1)+2w	$w^{3} - w (w^{2} + 2 w - 1) + 2 w$
102581	Find the Properties	f(x)=-x^2+4x-4	$f (x) = - x^{2} + 4 x - 4$
102582	Find g(f(x))	f(x)=7x , g(x)=3x+1	$f (x) = 7 x$ , $g (x) = 3 x + 1$
102583	Find the Properties	f(x)=x^2+4x-6	$f (x) = x^{2} + 4 x - 6$
102584	Find g(f(x))	f(x)=(x-6)/4 , g(x)=4x-6 , h(x)=(x+6)/4	$f (x) = \frac{x - 6}{4}$ , $g (x) = 4 x - 6$ , $h (x) = \frac{x + 6}{4}$
102585	Simplify	(x+2)/(x+4)-(x-1)/(x+6)	$\frac{x + 2}{x + 4} - \frac{x - 1}{x + 6}$
102586	Solve for N	b^x=N	$b^{x} = N$
102587	Find the Properties	f(x)=1/5*(x-3)^2-5	$f (x) = \frac{1}{5} \cdot {(x - 3)}^{2} - 5$
102588	Find the Properties	f(x)=x^2-6x-2	$f (x) = x^{2} - 6 x - 2$
102589	Find g(f(x))	f(x)=x-230 ; g(x)=0.9x	$f (x) = x - 230$ ; $g (x) = 0.9 x$
102590	Solve for n	28=-4(n+15)	$28 = - 4 (n + 15)$
102591	Simplify	(4+i)-(3-5i)(-2+5i)	$(4 + i) - (3 - 5 i) (- 2 + 5 i)$
102592	Solve for x	natural log of 2x+3=7	$\ln (2 x + 3) = 7$
102593	Find g(f(x))	f(x)=x^3+2 , g(x)=x-1	$f (x) = x^{3} + 2$ , $g (x) = x - 1$
102594	Find the Difference Quotient	f(x)=2x^2+x-1	$f (x) = 2 x^{2} + x - 1$
102595	Find the Properties	f(x)=(x-2)^2+4	$f (x) = {(x - 2)}^{2} + 4$
102596	Find the Properties	h(x)=x^2+23x+60	$h (x) = x^{2} + 23 x + 60$
102597	Solve by Factoring	x^2-9x+20=0	$x^{2} - 9 x + 20 = 0$
102598	Solve Using the Quadratic Formula	x^2=-11x+4	$x^{2} = - 11 x + 4$
102599	Find g(f(x))	f(x)=(x-4)/(x+7) , g(x)=(x+5)/(x-8)	$f (x) = \frac{x - 4}{x + 7}$ , $g (x) = \frac{x + 5}{x - 8}$
102600	Find the Properties	f(x)=(x-3)^2	$f (x) = {(x - 3)}^{2}$