Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
102301	Find g(f(x))	f(x)=x^3-7x^2+2x+11 , g(x)=x+1	$f (x) = x^{3} - 7 x^{2} + 2 x + 11$ , $g (x) = x + 1$
102302	Convert to Interval Notation	\|2-8x\|<-13	$\| 2 - 8 x \| < - 13$
102303	Find g(f(x))	f(x)=3x-1 g(x)=(2x-1)/x	$f (x) = 3 x - 1$ $g (x) = \frac{2 x - 1}{x}$
102304	Convert to Interval Notation	(x-7)(x+3)>0	$(x - 7) (x + 3) > 0$
102305	Simplify	6 cube root of 5+4 cube root of 625	$6 \sqrt[3]{5} + 4 \sqrt[3]{625}$
102306	Find g(f(x))	f(x)=9/(x-5) , g(x)=9/x+5	$f (x) = \frac{9}{x - 5}$ , $g (x) = \frac{9}{x} + 5$
102307	Convert to Interval Notation	(x-1)(x+2)<0	$(x - 1) (x + 2) < 0$
102308	Convert to Interval Notation	(x-3)(x+1)<0	$(x - 3) (x + 1) < 0$
102309	Find g(f(x))	f(x)=3-x , g(x)=4x^2+x+4	$f (x) = 3 - x$ , $g (x) = 4 x^{2} + x + 4$
102310	Convert to Interval Notation	(x-4)(x+7)<0	$(x - 4) (x + 7) < 0$
102311	Convert to Interval Notation	(x-4)(x+3)<0	$(x - 4) (x + 3) < 0$
102312	Convert to Interval Notation	\|x-6\|>1	$\| x - 6 \| > 1$
102313	Find g(f(x))	f(x)=9x-8 , g(x)=(x+9)/8	$f (x) = 9 x - 8$ , $g (x) = \frac{x + 9}{8}$
102314	Convert to Interval Notation	\|x+4\|<11	$\| x + 4 \| < 11$
102315	Write in Standard Form	i^15	$i^{15}$
102316	Convert to Interval Notation	\|x\|+8>9	$\| x \| + 8 > 9$
102317	Convert to Interval Notation	\|2x-1\|<5	$\| 2 x - 1 \| < 5$
102318	Find g(f(x))	f(x)=4/(x-9) g(x)=3/x	$f (x) = \frac{4}{x - 9}$ $g (x) = \frac{3}{x}$
102319	Convert to Interval Notation	\|2x+1\|<9	$\| 2 x + 1 \| < 9$
102320	Find g(f(x))	f(x)=x^2-7 , g(x)=3x-3	$f (x) = x^{2} - 7$ , $g (x) = 3 x - 3$
102321	Graph	y<=\|x\|	$y \leq \| x \|$
102322	Find g(f(x))	f(x)=2x-2 g(x)=x^2-1	$f (x) = 2 x - 2$ $g (x) = x^{2} - 1$
102323	Convert to Radical Form	14^(-2/5)	$14^{- \frac{2}{5}}$
102324	Convert to Radical Form	(y^(1/7))/(y^(1/14))	$\frac{y^{\frac{1}{7}}}{y^{\frac{1}{14}}}$
102325	Find g(f(x))	f(x)=x^-2 g(x)=(x-1)/3	$f (x) = x^{- 2}$ $g (x) = \frac{(x - 1)}{3}$
102326	Convert to Radical Form	(y^(1/8))/(y^(1/16))	$\frac{y^{\frac{1}{8}}}{y^{\frac{1}{16}}}$
102327	Convert to Radical Form	21^(9/4)	$21^{\frac{9}{4}}$
102328	Convert to Radical Form	2^(7/2)	$2^{\frac{7}{2}}$
102329	Find g(f(x))	f(x)=x+5 , g(x)=-4x+10	$f (x) = x + 5$ , $g (x) = - 4 x + 10$
102330	Convert to Radical Form	3^(5/2)	$3^{\frac{5}{2}}$
102331	Find g(f(x))	f(x)=(x-3)/10 , g(x)=10x+3(g*f)(x)	$f (x) = \frac{x - 3}{10}$ , $g (x) = 10 x + 3 (g \cdot f) (x)$
102332	Convert to Radical Form	49^(-1/2)	$49^{- \frac{1}{2}}$
102333	Convert to Radical Form	5^(1/7)	$5^{\frac{1}{7}}$
102334	Find g(f(x))	f(x)=5x^2-4x , g(x)=5x+1	$f (x) = 5 x^{2} - 4 x$ , $g (x) = 5 x + 1$
102335	Convert to Radical Form	4^(-1/2)	$4^{- \frac{1}{2}}$
102336	Find g(f(x))	f(x)=10/(x^2) , g(x)=9-x	$f (x) = \frac{10}{x^{2}}$ , $g (x) = 9 - x$
102337	Convert to Radical Form	a^(4/3)	$a^{\frac{4}{3}}$
102338	Convert to Radical Form	c^(8/3)	$c^{\frac{8}{3}}$
102339	Convert to Radical Form	64^(3/2)	$64^{\frac{3}{2}}$
102340	Convert to Radical Form	t^(-3/4)	$t^{- \frac{3}{4}}$
102341	Convert to Radical Form	t^(3/5)	$t^{\frac{3}{5}}$
102342	Convert to Radical Form	u^(3/8)	$u^{\frac{3}{8}}$
102343	Convert to Radical Form	x^(7/2)	$x^{\frac{7}{2}}$
102344	Convert to Radical Form	x^(2/3)y^(1/3)	$x^{\frac{2}{3}} y^{\frac{1}{3}}$
102345	Find g(f(x))	f(x) = square root of x+13 g(x)=x^2-13	$f (x) = \sqrt{x + 13}$ $g (x) = x^{2} - 13$
102346	Convert to Radical Form	4m^(1/3)	$4 m^{\frac{1}{3}}$
102347	Find g(f(x))	f(x)=2x-5 , g(x) = square root of x+2	$f (x) = 2 x - 5$ , $g (x) = \sqrt{x + 2}$
102348	Convert to Radical Form	4x^(1/2)	$4 x^{\frac{1}{2}}$
102349	Convert to Radical Form	5m^(1/3)	$5 m^{\frac{1}{3}}$
102350	Find g(f(x))	f(x)=(x-1)/x g(x)=x/(x+2)	$f (x) = \frac{x - 1}{x}$ $g (x) = \frac{x}{x + 2}$
102351	Convert to Radical Form	6x^(3/5)	$6 x^{\frac{3}{5}}$
102352	Convert to Radical Form	y^(5/7)	$y^{\frac{5}{7}}$
102353	Find g(f(x))	f(x)=3x-5 g(x)=x^2+2	$f (x) = 3 x - 5$ $g (x) = x^{2} + 2$
102354	Convert to Radical Form	y^(3/2)	$y^{\frac{3}{2}}$
102355	Convert to Radical Form	z^(-3/4)	$z^{- \frac{3}{4}}$
102356	Convert to Radical Form	2m^(1/5)	$2 m^{\frac{1}{5}}$
102357	Find g(f(x))	f(x)=3/(x-5) , g(x)=3/x+5	$f (x) = \frac{3}{x - 5}$ , $g (x) = \frac{3}{x} + 5$
102358	Convert to Radical Form	7m^(1/3)	$7 m^{\frac{1}{3}}$
102359	Convert to Radical Form	(1/4)^(3/2)	${(\frac{1}{4})}^{\frac{3}{2}}$
102360	Convert to Radical Form	(1/4)^(5/2)	${(\frac{1}{4})}^{\frac{5}{2}}$
102361	Convert to Radical Form	(1/32)^(3/5)	${(\frac{1}{32})}^{\frac{3}{5}}$
102362	Convert to Radical Form	(a^4b^4)^(1/5)	${(a^{4} b^{4})}^{\frac{1}{5}}$
102363	Simplify	(a+8)(b+3)	$(a + 8) (b + 3)$
102364	Simplify	6xy(1/2x^2-1/3*(xy)+1/6y^2)	$6 x y (\frac{1}{2} x^{2} - \frac{1}{3} \cdot (x y) + \frac{1}{6} y^{2})$
102365	Simplify	square root of 490	$\sqrt{490}$
102366	Find the Roots/Zeros Using the Rational Roots Test	6x^3+37x^2-34x+7	$6 x^{3} + 37 x^{2} - 34 x + 7$
102367	Convert to Radical Form	((x^5)^(1/2))/(x^(9/2))	$\frac{{(x^{5})}^{\frac{1}{2}}}{x^{\frac{9}{2}}}$
102368	Find g(f(x))	f(x)=x^2+8 , g(x)=x^2-8	$f (x) = x^{2} + 8$ , $g (x) = x^{2} - 8$
102369	Convert to Radical Form	(xy)^(1/2)	${(x y)}^{\frac{1}{2}}$
102370	Convert to Radical Form	(x^(2/3)y^(5/6))/(x^(-1/3)y^(1/2))	$\frac{x^{\frac{2}{3}} y^{\frac{5}{6}}}{x^{- \frac{1}{3}} y^{\frac{1}{2}}}$
102371	Convert to Radical Form	(16x^4)^(1/2)	${(16 x^{4})}^{\frac{1}{2}}$
102372	Find g(f(x))	f(x)=1/(x-6) g(x)=1/x	$f (x) = \frac{1}{x - 6}$ $g (x) = \frac{1}{x}$
102373	Convert to Radical Form	(-256)^(1/4)	${(- 256)}^{\frac{1}{4}}$
102374	Convert to Radical Form	(2t)^(5/2)	${(2 t)}^{\frac{5}{2}}$
102375	Convert to Radical Form	(2y+x)^(2/3)	${(2 y + x)}^{\frac{2}{3}}$
102376	Find g(f(x))	f(x)=3x-3 g(x)=x+9	$f (x) = 3 x - 3$ $g (x) = x + 9$
102377	Convert to Radical Form	(5x+4)^(3/4)	${(5 x + 4)}^{\frac{3}{4}}$
102378	Find g(f(x))	f(x)=(6x-9) , g(x)=(x-7)	$f (x) = (6 x - 9)$ , $g (x) = (x - 7)$
102379	Convert to Radical Form	(5y+x)^(3/5)	${(5 y + x)}^{\frac{3}{5}}$
102380	Find g(f(x))	f(x)=5x-3 g(x)=x^2-3	$f (x) = 5 x - 3$ $g (x) = x^{2} - 3$
102381	Convert to Radical Form	(-4)^(-3/2)	${(- 4)}^{- \frac{3}{2}}$
102382	Find g(f(x))	f(x)=5x-2 g(x)=4x^2-4	$f (x) = 5 x - 2$ $g (x) = 4 x^{2} - 4$
102383	Find g(f(x))	f(x)=9x-5 , g(x)=(x+9)/5	$f (x) = 9 x - 5$ , $g (x) = \frac{x + 9}{5}$
102384	Write with Rational (Fractional) Exponents	square root of 47	$\sqrt{47}$
102385	Find g(f(x))	f(x)=2x+5 , g(x)=4x^2	$f (x) = 2 x + 5$ , $g (x) = 4 x^{2}$
102386	Write with Rational (Fractional) Exponents	square root of 38	$\sqrt{38}$
102387	Find g(f(x))	f(x)=(x-1)/2 g(x)=2x-1	$f (x) = \frac{x - 1}{2}$ $g (x) = 2 x - 1$
102388	Write with Rational (Fractional) Exponents	square root of 320	$\sqrt{320}$
102389	Find g(f(x))	f(x)=x+4 g(x)=2x+1	$f (x) = x + 4$ $g (x) = 2 x + 1$
102390	Write with Rational (Fractional) Exponents	cube root of 21	$\sqrt[3]{21}$
102391	Write with Rational (Fractional) Exponents	cube root of 7^2	$\sqrt[3]{7^{2}}$
102392	Write with Rational (Fractional) Exponents	20 root of x^4	$\sqrt[20]{x^{4}}$
102393	Find g(f(x))	f(x)=(x+16)/x ; g(x)=(2x)/(x+4)	$f (x) = \frac{(x + 16)}{x}$ ; $g (x) = \frac{(2 x)}{(x + 4)}$
102394	Find g(f(x))	f(x)=1/x , g(x)=(x-4)/5	$f (x) = \frac{1}{x}$ , $g (x) = \frac{x - 4}{5}$
102395	Write with Rational (Fractional) Exponents	square root of x^16	$\sqrt{x^{16}}$
102396	Write with Rational (Fractional) Exponents	square root of 100x^2	$\sqrt{100 x^{2}}$
102397	Find g(f(x))	f(x)=60 , g(x)=0.15	$f (x) = 60$ , $g (x) = 0.15$
102398	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^4-5x^3-x^2-8x+4	$f (x) = 3 x^{4} - 5 x^{3} - x^{2} - 8 x + 4$
102399	Solve for x	5-x = square root of x+7	$5 - x = \sqrt{x + 7}$
102400	Find g(f(x))	f(x)=7/(x-3) , g(x)=7/x+3	$f (x) = \frac{7}{x - 3}$ , $g (x) = \frac{7}{x} + 3$