Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
72501	Find g(f(x))	f(x)=(x-10)/3 , g(x)=3x+10	$f (x) = \frac{x - 10}{3}$ , $g (x) = 3 x + 10$
72502	Find the Vertex	y=x^2+2x-9	$y = x^{2} + 2 x - 9$
72503	Find g(f(x))	f(x)=4-7x , g(x)=5x+5	$f (x) = 4 - 7 x$ , $g (x) = 5 x + 5$
72504	Find the Vertex	y=(x+1)^2+1	$y = {(x + 1)}^{2} + 1$
72505	Find g(f(x))	f(x)=2x^2+5 , g(x)=3x-2	$f (x) = 2 x^{2} + 5$ , $g (x) = 3 x - 2$
72506	Find the Vertex	y=(x-1)^2+1	$y = {(x - 1)}^{2} + 1$
72507	Find g(f(x))	f(x)=x+12 , g(x)=x-12	$f (x) = x + 12$ , $g (x) = x - 12$
72508	Solve for y	5x+6y=30	$5 x + 6 y = 30$
72509	Find the Domain and Range	f(x) = square root of 4-2x	$f (x) = \sqrt{4 - 2 x}$
72510	Find g(f(x))	f(x)=x+10 , g(x)=x-10	$f (x) = x + 10$ , $g (x) = x - 10$
72511	Find the Domain and Range	f(x) = square root of 5x-10	$f (x) = \sqrt{5 x - 10}$
72512	Find g(f(x))	f(x)=x^3-9 g(x) = cube root of x+9	$f (x) = x^{3} - 9$ $g (x) = \sqrt[3]{x + 9}$
72513	Find the Domain and Range	f(x) = square root of 10-x	$f (x) = \sqrt{10 - x}$
72514	Find the Domain and Range	f(x) = square root of x^2-4	$f (x) = \sqrt{x^{2} - 4}$
72515	Find g(f(x))	f(x)=8x+5 , g(x)=7x+1	$f (x) = 8 x + 5$ , $g (x) = 7 x + 1$
72516	Find the Domain and Range	f(x) = square root of 36-x^2	$f (x) = \sqrt{36 - x^{2}}$
72517	Find the Domain and Range	f(x) = square root of 3x-15	$f (x) = \sqrt{3 x - 15}$
72518	Find g(f(x))	f(x)=2x , g(x)=x^2+4	$f (x) = 2 x$ , $g (x) = x^{2} + 4$
72519	Find the Domain and Range	f(x) = square root of 2x-8	$f (x) = \sqrt{2 x - 8}$
72520	Find the Domain and Range	f(x)=- cube root of x	$f (x) = - \sqrt[3]{x}$
72521	Factor by Grouping	k^3+2k^2+3k+6	$k^{3} + 2 k^{2} + 3 k + 6$
72522	Find g(f(x))	f(x)=3x-4 , g(x)=1/3(x+4)	$f (x) = 3 x - 4$ , $g (x) = \frac{1}{3} (x + 4)$
72523	Find the Domain and Range	f(x)=x^3+1	$f (x) = x^{3} + 1$
72524	Write with Rational (Fractional) Exponents	cube root of 729	$\sqrt[3]{729}$
72525	Solve Using the Quadratic Formula	(x-2)(x+5)=18	$(x - 2) (x + 5) = 18$
72526	Find the Domain and Range	f(x)=5/(x^2)	$f (x) = \frac{5}{x^{2}}$
72527	Find g(f(x))	f(x)=(x-7)/10 , g(x)=10x+7	$f (x) = \frac{x - 7}{10}$ , $g (x) = 10 x + 7$
72528	Find the Domain and Range	cube root of x	$\sqrt[3]{x}$
72529	Determine if Prime	x^3+3x^2-2x-6	$x^{3} + 3 x^{2} - 2 x - 6$
72530	Find the Domain and Range	f(x)=2^(x-3)	$f (x) = 2^{x - 3}$
72531	Find the Domain and Range	x^2+y^2=4	$x^{2} + y^{2} = 4$
72532	Find the Domain and Range	x^2+y^2=25	$x^{2} + y^{2} = 25$
72533	Find Three Ordered Pair Solutions	y=1/3x	$y = \frac{1}{3} x$
72534	Find g(f(x))	f(x)=12x ; g(x)=1/(12x)	$f (x) = 12 x$ ; $g (x) = \frac{1}{12 x}$
72535	Graph Using a Table of Values	3x-4y=12	$3 x - 4 y = 12$
72536	Find g(f(x))	f(x)=2x-6 , g(x)=(x+6)/2	$f (x) = 2 x - 6$ , $g (x) = \frac{x + 6}{2}$
72537	Find g(f(x))	f(x)=5x-2 , g(x)=-x^2+4x-1	$f (x) = 5 x - 2$ , $g (x) = - x^{2} + 4 x - 1$
72538	Expand Using the Binomial Theorem	(13-2x)^2	${(13 - 2 x)}^{2}$
72539	Expand Using the Binomial Theorem	(x^2+6)^2	${(x^{2} + 6)}^{2}$
72540	Graph Using a Table of Values	y=3x-3	$y = 3 x - 3$
72541	Graph Using a Table of Values	y=-2x-3	$y = - 2 x - 3$
72542	Graph Using a Table of Values	y=2x+5	$y = 2 x + 5$
72543	Graph Using a Table of Values	y=4x+5	$y = 4 x + 5$
72544	Write in Standard Form	y=-1/2x+3	$y = - \frac{1}{2} x + 3$
72545	Write in Standard Form	y+5=-5(x-3)	$y + 5 = - 5 (x - 3)$
72546	Write in Standard Form	y+1=-(x+3)	$y + 1 = - (x + 3)$
72547	Find g(f(x))	f(x)=1/x g(x)=1/x	$f (x) = \frac{1}{x}$ $g (x) = \frac{1}{x}$
72548	Expand Using the Binomial Theorem	(y-2)^3	${(y - 2)}^{3}$
72549	Expand Using the Binomial Theorem	(y-4)^3	${(y - 4)}^{3}$
72550	Expand Using the Binomial Theorem	(5x-8y)^2	${(5 x - 8 y)}^{2}$
72551	Expand Using the Binomial Theorem	(5x+y)^3	${(5 x + y)}^{3}$
72552	Expand Using the Binomial Theorem	(4x+5)^3	${(4 x + 5)}^{3}$
72553	Expand Using the Binomial Theorem	(4x-7y)^2	${(4 x - 7 y)}^{2}$
72554	Expand Using the Binomial Theorem	(3x+y)^7	${(3 x + y)}^{7}$
72555	Expand Using the Binomial Theorem	(3y+2)^2	${(3 y + 2)}^{2}$
72556	Expand Using the Binomial Theorem	(4x^2-7)^2	${(4 x^{2} - 7)}^{2}$
72557	Find g(f(x))	f(x)=5x-9 g(x)=(x+5)/9	$f (x) = 5 x - 9$ $g (x) = \frac{x + 5}{9}$
72558	Expand Using the Binomial Theorem	(4x+2y)^2	${(4 x + 2 y)}^{2}$
72559	Expand Using the Binomial Theorem	(3a-4)^2	${(3 a - 4)}^{2}$
72560	Expand Using the Binomial Theorem	(3x^2-7)^2	${(3 x^{2} - 7)}^{2}$
72561	Expand Using the Binomial Theorem	(2x-3)^7	${(2 x - 3)}^{7}$
72562	Find g(f(x))	f(x)=4x-9 , g(x)=7x-3	$f (x) = 4 x - 9$ , $g (x) = 7 x - 3$
72563	Expand Using the Binomial Theorem	(2x+4y)^2	${(2 x + 4 y)}^{2}$
72564	Expand Using the Binomial Theorem	(2x+9y)^2	${(2 x + 9 y)}^{2}$
72565	Find g(f(x))	f(x)=3-x g(x)=3x^2+x+5	$f (x) = 3 - x$ $g (x) = 3 x^{2} + x + 5$
72566	Find g(f(x))	f(x)=7x-3 , g(x)=x^2	$f (x) = 7 x - 3$ , $g (x) = x^{2}$
72567	Expand Using the Binomial Theorem	(9x+y)^3	${(9 x + y)}^{3}$
72568	Expand Using the Binomial Theorem	(9x-5)^2	${(9 x - 5)}^{2}$
72569	Expand Using the Binomial Theorem	(5z+2)^2	${(5 z + 2)}^{2}$
72570	Expand Using the Binomial Theorem	(6x+y)^2	${(6 x + y)}^{2}$
72571	Expand Using the Binomial Theorem	(6x-4)^2	${(6 x - 4)}^{2}$
72572	Find g(f(x))	f(x)=1/x g(x)=2x	$f (x) = \frac{1}{x}$ $g (x) = 2 x$
72573	Expand Using the Binomial Theorem	(7x-8)^2	${(7 x - 8)}^{2}$
72574	Expand Using the Binomial Theorem	(7x+7)^2	${(7 x + 7)}^{2}$
72575	Expand Using the Binomial Theorem	(7m-8)^2	${(7 m - 8)}^{2}$
72576	Expand Using the Binomial Theorem	(p-q)^2	${(p - q)}^{2}$
72577	Expand Using the Binomial Theorem	(k+1)^2	${(k + 1)}^{2}$
72578	Expand Using the Binomial Theorem	(t+2)^5	${(t + 2)}^{5}$
72579	Find g(f(x))	f(x)=5x , g(x)=5x	$f (x) = 5 x$ , $g (x) = 5 x$
72580	Expand Using the Binomial Theorem	(v-4)^2	${(v - 4)}^{2}$
72581	Expand Using the Binomial Theorem	(u+7)^2	${(u + 7)}^{2}$
72582	Find g(f(x))	f(x)=4x-5 , g(x)=6x-3	$f (x) = 4 x - 5$ , $g (x) = 6 x - 3$
72583	Find g(f(x))	f(x)=9/x g(x)=9/x	$f (x) = \frac{9}{x}$ $g (x) = \frac{9}{x}$
72584	Expand Using the Binomial Theorem	(x+2)^10	${(x + 2)}^{10}$
72585	Expand Using the Binomial Theorem	(x+1/4)^2	${(x + \frac{1}{4})}^{2}$
72586	Find g(f(x))	f(x)=7x+11 g(x)=-2+3 h(x)=3x^2+1	$f (x) = 7 x + 11$ $g (x) = - 2 + 3$ $h (x) = 3 x^{2} + 1$
72587	Expand Using the Binomial Theorem	(x-4y)^5	${(x - 4 y)}^{5}$
72588	Write in Standard Form	y=2x-1	$y = 2 x - 1$
72589	Find g(f(x))	f(x)=5x^2+2x-5 , g(x)=7x+8 , h(x)=4x^2-10	$f (x) = 5 x^{2} + 2 x - 5$ , $g (x) = 7 x + 8$ , $h (x) = 4 x^{2} - 10$
72590	Write in Standard Form	y=-2x+3	$y = - 2 x + 3$
72591	Find g(f(x))	f(x)=3x^2+x-3 g(x)=x^2-5x+1	$f (x) = 3 x^{2} + x - 3$ $g (x) = x^{2} - 5 x + 1$
72592	Write in Standard Form	y=3x	$y = 3 x$
72593	Write in Standard Form	y-6=4(x+3)	$y - 6 = 4 (x + 3)$
72594	Find g(f(x))	f(x)=3x-6 , g(x)=(x+3)/6	$f (x) = 3 x - 6$ , $g (x) = \frac{x + 3}{6}$
72595	Evaluate	( square root of 5x^4y)/( square root of 2x^2y^3)	$\frac{\sqrt{5 x^{4} y}}{\sqrt{2 x^{2} y^{3}}}$
72596	Find the Equation Given the Roots	-2 , -5	$- 2$ , $- 5$
72597	Find g(f(x))	f(x) = square root of 2x+3 , g(x) = square root of 4x-25	$f (x) = \sqrt{2 x + 3}$ , $g (x) = \sqrt{4 x - 25}$
72598	Find the Behavior (Leading Coefficient Test)	f(x)=x^4-9x^2	$f (x) = x^{4} - 9 x^{2}$
72599	Evaluate	1/(3 square root of 2)	$\frac{1}{3 \sqrt{2}}$
72600	Evaluate	11/( square root of 3)	$\frac{11}{\sqrt{3}}$