Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
102401	Find g(f(x))	f(x)=7x-9 , g(x)=1/7(x+9)	$f (x) = 7 x - 9$ , $g (x) = \frac{1}{7} (x + 9)$
102402	Find g(f(x))	f(x)=8x-2 , g(x)=5-2x	$f (x) = 8 x - 2$ , $g (x) = 5 - 2 x$
102403	Find g(f(x))	f(x)=16 , g(x)=0.04	$f (x) = 16$ , $g (x) = 0.04$
102404	Find the Roots/Zeros Using the Rational Roots Test	x^3-3x^2-33x+35	$x^{3} - 3 x^{2} - 33 x + 35$
102405	Find the Roots/Zeros Using the Rational Roots Test	x^3+2x^2-11x-12	$x^{3} + 2 x^{2} - 11 x - 12$
102406	Find g(f(x))	f(x)=(x-8)/5 , g(x)=5x+8	$f (x) = \frac{x - 8}{5}$ , $g (x) = 5 x + 8$
102407	Find the Roots/Zeros Using the Rational Roots Test	x^2-2x-4	$x^{2} - 2 x - 4$
102408	Find the Roots/Zeros Using the Rational Roots Test	x^3-8x^2+17x-10	$x^{3} - 8 x^{2} + 17 x - 10$
102409	Find g(f(x))	f(x)=3x-2 , g(x)=(x+2)/3	$f (x) = 3 x - 2$ , $g (x) = \frac{x + 2}{3}$
102410	Find g(f(x))	f(x)=5x ; g(x)=x/5	$f (x) = 5 x$ ; $g (x) = \frac{x}{5}$
102411	Solve for x	11-4^x=5	$11 - 4^{x} = 5$
102412	Solve for x	-4<(2x-3)/3<4	$- 4 < \frac{2 x - 3}{3} < 4$
102413	Factor	64p^2-48p-27	$64 p^{2} - 48 p - 27$
102414	Solve by Substitution	y=x-7 , 2x-y=3	$y = x - 7$ , $2 x - y = 3$
102415	Find the LCD	7/(5x)+4/(3x)	$\frac{7}{5 x} + \frac{4}{3 x}$
102416	Find g(f(x))	f(x) = square root of x-5 , g(x)=(x+2)/3	$f (x) = \sqrt{x - 5}$ , $g (x) = \frac{x + 2}{3}$
102417	Find the LCD	5/(3x^2y)-4/(6xy^3)	$\frac{5}{3 x^{2} y} - \frac{4}{6 x y^{3}}$
102418	Find g(f(x))	f(x)=x^2+2 g(x)=x-8	$f (x) = x^{2} + 2$ $g (x) = x - 8$
102419	Combine	1/(5n)-3/4+7/(10n)	$\frac{1}{5 n} - \frac{3}{4} + \frac{7}{10 n}$
102420	Find g(f(x))	f(x)=3x-12 , g(x)=x/3+4	$f (x) = 3 x - 12$ , $g (x) = \frac{x}{3} + 4$
102421	Combine	(5y)/(y^2-7y)-4/(2y-14)+9/y	$\frac{5 y}{y^{2} - 7 y} - \frac{4}{2 y - 14} + \frac{9}{y}$
102422	Find g(f(x))	f(x)=4/(x-3) , g(x)=4/x+3	$f (x) = \frac{4}{x - 3}$ , $g (x) = \frac{4}{x} + 3$
102423	Combine	4/(t+2)+3/(t-2)-(t-1)/(t^2-4)	$\frac{4}{t + 2} + \frac{3}{t - 2} - \frac{t - 1}{t^{2} - 4}$
102424	Evaluate Using the Given Value	f(2)=(1/2)^2	$f (2) = {(\frac{1}{2})}^{2}$
102425	Evaluate Using the Given Value	f(1) = square root of 1	$f (1) = \sqrt{1}$
102426	Evaluate Using the Given Value	f(1)=3	$f (1) = 3$
102427	Find g(f(x))	f(x)=3x+5 g(x)=x-1	$f (x) = 3 x + 5$ $g (x) = x - 1$
102428	Factor by Grouping	96n^3-84n^2+112n-98	$96 n^{3} - 84 n^{2} + 112 n - 98$
102429	Factor by Grouping	ac+xc+aw^2+xw^2	$a c + x c + a w^{2} + x w^{2}$
102430	Find the GCF	a^4b+a^2b^3	$a^{4} b + a^{2} b^{3}$
102431	Find g(f(x))	f(x)=2x-6 , g(x)=2x+5	$f (x) = 2 x - 6$ , $g (x) = 2 x + 5$
102432	Find the GCF	10x-15	$10 x - 15$
102433	Find the GCF	12m^2n^2-8mn+1	$12 m^{2} n^{2} - 8 m n + 1$
102434	Find the GCF	44x^5+16x^3	$44 x^{5} + 16 x^{3}$
102435	Find the GCF	5h^3+20h^2+4h+16	$5 h^{3} + 20 h^{2} + 4 h + 16$
102436	Find the GCF	6x+3	$6 x + 3$
102437	Find the GCF	3x^2-12x+12	$3 x^{2} - 12 x + 12$
102438	Find the GCF	3a^2+9	$3 a^{2} + 9$
102439	Find g(f(x))	f(x)=x^2-9x-11 g(x)=11x-4	$f (x) = x^{2} - 9 x - 11$ $g (x) = 11 x - 4$
102440	Find g(f(x))	f(x)=3/(x-8) , g(x)=3/x+8	$f (x) = \frac{3}{x - 8}$ , $g (x) = \frac{3}{x} + 8$
102441	Find the LCM	8 , 6	$8$ , $6$
102442	Find the LCM	8 , 20	$8$ , $20$
102443	Find the LCD	-11/245 , 13/175	$\frac{- 11}{245}$ , $\frac{13}{175}$
102444	Find g(f(x))	f(x)=-10x+15 , g(x)=7x+9	$f (x) = - 10 x + 15$ , $g (x) = 7 x + 9$
102445	Find the LCM	12 , 8	$12$ , $8$
102446	Find g(f(x))	f(x)=2x^2-4x-3 , g(x)=2x^2-16	$f (x) = 2 x^{2} - 4 x - 3$ , $g (x) = 2 x^{2} - 16$
102447	Find the LCM	18 , 81 , 144	$18$ , $81$ , $144$
102448	Find g(f(x))	f(x) = cube root of x-6 , g(x)=x^3+6	$f (x) = \sqrt[3]{x - 6}$ , $g (x) = x^{3} + 6$
102449	Find the LCM	4 , 7	$4$ , $7$
102450	Find the LCM	16ab^3 , 5b^2a^2 , 20ac	$16 a b^{3}$ , $5 b^{2} a^{2}$ , $20 a c$
102451	Find the LCD	a/(a-3) , 2/(3-a)	$\frac{a}{a - 3}$ , $\frac{2}{3 - a}$
102452	Find the LCD	4/(21x^2) , x/(3x^2-15x)	$\frac{4}{21 x^{2}}$ , $\frac{x}{3 x^{2} - 15 x}$
102453	Find the Domain and Range	f(x)=(2x)/(x^2-9)	$f (x) = \frac{2 x}{x^{2} - 9}$
102454	Find g(f(x))	f(x)=3x-7 , g(x)=4-x	$f (x) = 3 x - 7$ , $g (x) = 4 - x$
102455	Find the Domain and Range	f(x)=(2x)/(x-2)	$f (x) = \frac{2 x}{x - 2}$
102456	Find g(f(x))	f(x)=x-3 , g(x)=x^3+4	$f (x) = x - 3$ , $g (x) = x^{3} + 4$
102457	Find the Domain	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
102458	Find g(f(x))	g(x)=x-5 , f(x)=x^3-4x^2-77x+360	$g (x) = x - 5$ , $f (x) = x^{3} - 4 x^{2} - 77 x + 360$
102459	Find g(f(x))	f(x) = square root of x+23 , g(x)=x^2-23	$f (x) = \sqrt{x + 23}$ , $g (x) = x^{2} - 23$
102460	Find g(f(x))	f(x)=2x-4 , g(x)=(x+2)/4	$f (x) = 2 x - 4$ , $g (x) = \frac{x + 2}{4}$
102461	Find the Domain and Range	f(x) = log base 4 of x	$f (x) = \log_{4} (x)$
102462	Find g(f(x))	f(x)=1/(x-3) , g(x)=2/x+3	$f (x) = \frac{1}{x - 3}$ , $g (x) = \frac{2}{x} + 3$
102463	Calculate the Square Root	square root of 7056	$\sqrt{7056}$
102464	Find the Domain and Range	f(x)=(4x-8)/(5x-15)	$f (x) = \frac{4 x - 8}{5 x - 15}$
102465	Find the Domain and Range	f(x)=(x-3)^2+2	$f (x) = {(x - 3)}^{2} + 2$
102466	Factor	16x^2+8x+32	$16 x^{2} + 8 x + 32$
102467	Find the Domain and Range	f(x)=(x-5)^2-1	$f (x) = {(x - 5)}^{2} - 1$
102468	Find the Domain and Range	f(x)=(x-5)/(x^2-2x-35)	$f (x) = \frac{x - 5}{x^{2} - 2 x - 35}$
102469	Find g(f(x))	f(x)=4x^2-3 , g(x)=8/x	$f (x) = 4 x^{2} - 3$ , $g (x) = \frac{8}{x}$
102470	Find g(f(x))	f(x)=5x+2 , g(x)=6x-1	$f (x) = 5 x + 2$ , $g (x) = 6 x - 1$
102471	Find g(f(x))	f(x)=4/x , g(x)=4/(x^2)	$f (x) = \frac{4}{x}$ , $g (x) = \frac{4}{x^{2}}$
102472	Find g(f(x))	f(x)=x-7 , g(x) = square root of x+4	$f (x) = x - 7$ , $g (x) = \sqrt{x + 4}$
102473	Find the Domain and Range	f(x)=x/(x^2-25)	$f (x) = \frac{x}{x^{2} - 25}$
102474	Find g(f(x))	f(x)=2x-1 , g(x)=3x+2 , h(x)=x^2	$f (x) = 2 x - 1$ , $g (x) = 3 x + 2$ , $h (x) = x^{2}$
102475	Find the Domain and Range	f(x)=5^x	$f (x) = 5^{x}$
102476	Solve by Factoring	-2+ square root of 3x-2=6	$- 2 + \sqrt{3 x - 2} = 6$
102477	Find the Inverse	f(x)=-4x-1	$f (x) = - 4 x - 1$
102478	Find g(f(x))	f(x)=3x-7 , g(x)=x-6	$f (x) = 3 x - 7$ , $g (x) = x - 6$
102479	Find the Inverse	f(x)=-4x+4	$f (x) = - 4 x + 4$
102480	Find the Inverse	f(x)=-3x-6	$f (x) = - 3 x - 6$
102481	Find g(f(x))	f(x)=3/2x-6 , g(x)=(2x-12)/3	$f (x) = \frac{3}{2} x - 6$ , $g (x) = \frac{2 x - 12}{3}$
102482	Find the Inverse	f(x)=4(x+1)	$f (x) = 4 (x + 1)$
102483	Find the Inverse	f(x)=3-2x	$f (x) = 3 - 2 x$
102484	Find the Inverse	f(x)=7x+9	$f (x) = 7 x + 9$
102485	Find the Inverse	f(x)=7x-7	$f (x) = 7 x - 7$
102486	Find g(f(x))	f(x)=-3/x , g(x)=-3/x	$f (x) = - \frac{3}{x}$ , $g (x) = - \frac{3}{x}$
102487	Find the Inverse	f(x)=7-x	$f (x) = 7 - x$
102488	Find the Inverse	f(x)=8x+5	$f (x) = 8 x + 5$
102489	Find the Inverse	f(x)=8x^3	$f (x) = 8 x^{3}$
102490	Find the Inverse	f(x)=8x-9	$f (x) = 8 x - 9$
102491	Find the Inverse	f(x)=5x+9	$f (x) = 5 x + 9$
102492	Find g(f(x))	f(x)=x-3 , g(x)=1/x	$f (x) = x - 3$ , $g (x) = \frac{1}{x}$
102493	Find the Inverse	f(x)=5x+12	$f (x) = 5 x + 12$
102494	Find g(f(x))	f(x)=3x-4 , g(x)=x^2-2	$f (x) = 3 x - 4$ , $g (x) = x^{2} - 2$
102495	Find the Inverse	f(x)=-5x-4	$f (x) = - 5 x - 4$
102496	Divide	(6x^3-1x^2+1)÷(2x+1)	$(6 x^{3} - 1 x^{2} + 1) \div (2 x + 1)$
102497	Divide	(x^4+x^3-10x^2+22x-8)/(x^2-3x+4)	$\frac{x^{4} + x^{3} - 10 x^{2} + 22 x - 8}{x^{2} - 3 x + 4}$
102498	Find the Inverse	f(x)=(x-2)/(x+2)	$f (x) = \frac{x - 2}{x + 2}$
102499	Evaluate	(1+5i)/(5-i)	$\frac{1 + 5 i}{5 - i}$
102500	Find g(f(x))	f(x)=x^2 , g(x)=3x-5	$f (x) = x^{2}$ , $g (x) = 3 x - 5$