Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
102301	Find g(f(x))	f(x)=9x-8 , g(x)=(x+9)/8	$f (x) = 9 x - 8$ , $g (x) = \frac{x + 9}{8}$
102302	Convert to Interval Notation	\|x+4\|<11	$\| x + 4 \| < 11$
102303	Write in Standard Form	i^15	$i^{15}$
102304	Convert to Interval Notation	\|x\|+8>9	$\| x \| + 8 > 9$
102305	Convert to Interval Notation	\|2x-1\|<5	$\| 2 x - 1 \| < 5$
102306	Find g(f(x))	f(x)=4/(x-9) g(x)=3/x	$f (x) = \frac{4}{x - 9}$ $g (x) = \frac{3}{x}$
102307	Convert to Interval Notation	\|2x+1\|<9	$\| 2 x + 1 \| < 9$
102308	Find g(f(x))	f(x)=x^2-7 , g(x)=3x-3	$f (x) = x^{2} - 7$ , $g (x) = 3 x - 3$
102309	Graph	y<=\|x\|	$y \leq \| x \|$
102310	Find g(f(x))	f(x)=2x-2 g(x)=x^2-1	$f (x) = 2 x - 2$ $g (x) = x^{2} - 1$
102311	Convert to Radical Form	14^(-2/5)	$14^{- \frac{2}{5}}$
102312	Convert to Radical Form	(y^(1/7))/(y^(1/14))	$\frac{y^{\frac{1}{7}}}{y^{\frac{1}{14}}}$
102313	Find g(f(x))	f(x)=x^-2 g(x)=(x-1)/3	$f (x) = x^{- 2}$ $g (x) = \frac{(x - 1)}{3}$
102314	Convert to Radical Form	(y^(1/8))/(y^(1/16))	$\frac{y^{\frac{1}{8}}}{y^{\frac{1}{16}}}$
102315	Convert to Radical Form	21^(9/4)	$21^{\frac{9}{4}}$
102316	Convert to Radical Form	2^(7/2)	$2^{\frac{7}{2}}$
102317	Find g(f(x))	f(x)=x+5 , g(x)=-4x+10	$f (x) = x + 5$ , $g (x) = - 4 x + 10$
102318	Convert to Radical Form	3^(5/2)	$3^{\frac{5}{2}}$
102319	Find g(f(x))	f(x)=(x-3)/10 , g(x)=10x+3(g*f)(x)	$f (x) = \frac{x - 3}{10}$ , $g (x) = 10 x + 3 (g \cdot f) (x)$
102320	Convert to Radical Form	49^(-1/2)	$49^{- \frac{1}{2}}$
102321	Convert to Radical Form	5^(1/7)	$5^{\frac{1}{7}}$
102322	Find g(f(x))	f(x)=5x^2-4x , g(x)=5x+1	$f (x) = 5 x^{2} - 4 x$ , $g (x) = 5 x + 1$
102323	Convert to Radical Form	4^(-1/2)	$4^{- \frac{1}{2}}$
102324	Find g(f(x))	f(x)=10/(x^2) , g(x)=9-x	$f (x) = \frac{10}{x^{2}}$ , $g (x) = 9 - x$
102325	Convert to Radical Form	a^(4/3)	$a^{\frac{4}{3}}$
102326	Convert to Radical Form	c^(8/3)	$c^{\frac{8}{3}}$
102327	Convert to Radical Form	64^(3/2)	$64^{\frac{3}{2}}$
102328	Convert to Radical Form	t^(-3/4)	$t^{- \frac{3}{4}}$
102329	Convert to Radical Form	t^(3/5)	$t^{\frac{3}{5}}$
102330	Convert to Radical Form	u^(3/8)	$u^{\frac{3}{8}}$
102331	Convert to Radical Form	x^(7/2)	$x^{\frac{7}{2}}$
102332	Convert to Radical Form	x^(2/3)y^(1/3)	$x^{\frac{2}{3}} y^{\frac{1}{3}}$
102333	Find g(f(x))	f(x) = square root of x+13 g(x)=x^2-13	$f (x) = \sqrt{x + 13}$ $g (x) = x^{2} - 13$
102334	Convert to Radical Form	4m^(1/3)	$4 m^{\frac{1}{3}}$
102335	Find g(f(x))	f(x)=2x-5 , g(x) = square root of x+2	$f (x) = 2 x - 5$ , $g (x) = \sqrt{x + 2}$
102336	Convert to Radical Form	4x^(1/2)	$4 x^{\frac{1}{2}}$
102337	Convert to Radical Form	5m^(1/3)	$5 m^{\frac{1}{3}}$
102338	Find g(f(x))	f(x)=(x-1)/x g(x)=x/(x+2)	$f (x) = \frac{x - 1}{x}$ $g (x) = \frac{x}{x + 2}$
102339	Convert to Radical Form	6x^(3/5)	$6 x^{\frac{3}{5}}$
102340	Convert to Radical Form	y^(5/7)	$y^{\frac{5}{7}}$
102341	Find g(f(x))	f(x)=3x-5 g(x)=x^2+2	$f (x) = 3 x - 5$ $g (x) = x^{2} + 2$
102342	Convert to Radical Form	y^(3/2)	$y^{\frac{3}{2}}$
102343	Convert to Radical Form	z^(-3/4)	$z^{- \frac{3}{4}}$
102344	Convert to Radical Form	2m^(1/5)	$2 m^{\frac{1}{5}}$
102345	Find g(f(x))	f(x)=3/(x-5) , g(x)=3/x+5	$f (x) = \frac{3}{x - 5}$ , $g (x) = \frac{3}{x} + 5$
102346	Convert to Radical Form	7m^(1/3)	$7 m^{\frac{1}{3}}$
102347	Convert to Radical Form	(1/4)^(3/2)	${(\frac{1}{4})}^{\frac{3}{2}}$
102348	Convert to Radical Form	(1/4)^(5/2)	${(\frac{1}{4})}^{\frac{5}{2}}$
102349	Convert to Radical Form	(1/32)^(3/5)	${(\frac{1}{32})}^{\frac{3}{5}}$
102350	Convert to Radical Form	(a^4b^4)^(1/5)	${(a^{4} b^{4})}^{\frac{1}{5}}$
102351	Simplify	(a+8)(b+3)	$(a + 8) (b + 3)$
102352	Simplify	6xy(1/2x^2-1/3*(xy)+1/6y^2)	$6 x y (\frac{1}{2} x^{2} - \frac{1}{3} \cdot (x y) + \frac{1}{6} y^{2})$
102353	Simplify	square root of 490	$\sqrt{490}$
102354	Find the Roots/Zeros Using the Rational Roots Test	6x^3+37x^2-34x+7	$6 x^{3} + 37 x^{2} - 34 x + 7$
102355	Convert to Radical Form	((x^5)^(1/2))/(x^(9/2))	$\frac{{(x^{5})}^{\frac{1}{2}}}{x^{\frac{9}{2}}}$
102356	Find g(f(x))	f(x)=x^2+8 , g(x)=x^2-8	$f (x) = x^{2} + 8$ , $g (x) = x^{2} - 8$
102357	Convert to Radical Form	(xy)^(1/2)	${(x y)}^{\frac{1}{2}}$
102358	Convert to Radical Form	(x^(2/3)y^(5/6))/(x^(-1/3)y^(1/2))	$\frac{x^{\frac{2}{3}} y^{\frac{5}{6}}}{x^{- \frac{1}{3}} y^{\frac{1}{2}}}$
102359	Convert to Radical Form	(16x^4)^(1/2)	${(16 x^{4})}^{\frac{1}{2}}$
102360	Find g(f(x))	f(x)=1/(x-6) g(x)=1/x	$f (x) = \frac{1}{x - 6}$ $g (x) = \frac{1}{x}$
102361	Convert to Radical Form	(-256)^(1/4)	${(- 256)}^{\frac{1}{4}}$
102362	Convert to Radical Form	(2t)^(5/2)	${(2 t)}^{\frac{5}{2}}$
102363	Convert to Radical Form	(2y+x)^(2/3)	${(2 y + x)}^{\frac{2}{3}}$
102364	Find g(f(x))	f(x)=3x-3 g(x)=x+9	$f (x) = 3 x - 3$ $g (x) = x + 9$
102365	Convert to Radical Form	(5x+4)^(3/4)	${(5 x + 4)}^{\frac{3}{4}}$
102366	Find g(f(x))	f(x)=(6x-9) , g(x)=(x-7)	$f (x) = (6 x - 9)$ , $g (x) = (x - 7)$
102367	Convert to Radical Form	(5y+x)^(3/5)	${(5 y + x)}^{\frac{3}{5}}$
102368	Find g(f(x))	f(x)=5x-3 g(x)=x^2-3	$f (x) = 5 x - 3$ $g (x) = x^{2} - 3$
102369	Convert to Radical Form	(-4)^(-3/2)	${(- 4)}^{- \frac{3}{2}}$
102370	Find g(f(x))	f(x)=5x-2 g(x)=4x^2-4	$f (x) = 5 x - 2$ $g (x) = 4 x^{2} - 4$
102371	Find g(f(x))	f(x)=9x-5 , g(x)=(x+9)/5	$f (x) = 9 x - 5$ , $g (x) = \frac{x + 9}{5}$
102372	Write with Rational (Fractional) Exponents	square root of 47	$\sqrt{47}$
102373	Find g(f(x))	f(x)=2x+5 , g(x)=4x^2	$f (x) = 2 x + 5$ , $g (x) = 4 x^{2}$
102374	Write with Rational (Fractional) Exponents	square root of 38	$\sqrt{38}$
102375	Find g(f(x))	f(x)=(x-1)/2 g(x)=2x-1	$f (x) = \frac{x - 1}{2}$ $g (x) = 2 x - 1$
102376	Write with Rational (Fractional) Exponents	square root of 320	$\sqrt{320}$
102377	Find g(f(x))	f(x)=x+4 g(x)=2x+1	$f (x) = x + 4$ $g (x) = 2 x + 1$
102378	Write with Rational (Fractional) Exponents	cube root of 21	$\sqrt[3]{21}$
102379	Write with Rational (Fractional) Exponents	cube root of 7^2	$\sqrt[3]{7^{2}}$
102380	Write with Rational (Fractional) Exponents	20 root of x^4	$\sqrt[20]{x^{4}}$
102381	Find g(f(x))	f(x)=(x+16)/x ; g(x)=(2x)/(x+4)	$f (x) = \frac{(x + 16)}{x}$ ; $g (x) = \frac{(2 x)}{(x + 4)}$
102382	Find g(f(x))	f(x)=1/x , g(x)=(x-4)/5	$f (x) = \frac{1}{x}$ , $g (x) = \frac{x - 4}{5}$
102383	Write with Rational (Fractional) Exponents	square root of x^16	$\sqrt{x^{16}}$
102384	Write with Rational (Fractional) Exponents	square root of 100x^2	$\sqrt{100 x^{2}}$
102385	Find g(f(x))	f(x)=60 , g(x)=0.15	$f (x) = 60$ , $g (x) = 0.15$
102386	Use the Rational Roots Test to Find All Possible Roots	f(x)=3x^4-5x^3-x^2-8x+4	$f (x) = 3 x^{4} - 5 x^{3} - x^{2} - 8 x + 4$
102387	Solve for x	5-x = square root of x+7	$5 - x = \sqrt{x + 7}$
102388	Find g(f(x))	f(x)=7/(x-3) , g(x)=7/x+3	$f (x) = \frac{7}{x - 3}$ , $g (x) = \frac{7}{x} + 3$
102389	Find g(f(x))	f(x)=7x-9 , g(x)=1/7(x+9)	$f (x) = 7 x - 9$ , $g (x) = \frac{1}{7} (x + 9)$
102390	Find g(f(x))	f(x)=8x-2 , g(x)=5-2x	$f (x) = 8 x - 2$ , $g (x) = 5 - 2 x$
102391	Find g(f(x))	f(x)=16 , g(x)=0.04	$f (x) = 16$ , $g (x) = 0.04$
102392	Find the Roots/Zeros Using the Rational Roots Test	x^3-3x^2-33x+35	$x^{3} - 3 x^{2} - 33 x + 35$
102393	Find the Roots/Zeros Using the Rational Roots Test	x^3+2x^2-11x-12	$x^{3} + 2 x^{2} - 11 x - 12$
102394	Find g(f(x))	f(x)=(x-8)/5 , g(x)=5x+8	$f (x) = \frac{x - 8}{5}$ , $g (x) = 5 x + 8$
102395	Find the Roots/Zeros Using the Rational Roots Test	x^2-2x-4	$x^{2} - 2 x - 4$
102396	Find the Roots/Zeros Using the Rational Roots Test	x^3-8x^2+17x-10	$x^{3} - 8 x^{2} + 17 x - 10$
102397	Find g(f(x))	f(x)=3x-2 , g(x)=(x+2)/3	$f (x) = 3 x - 2$ , $g (x) = \frac{x + 2}{3}$
102398	Find g(f(x))	f(x)=5x ; g(x)=x/5	$f (x) = 5 x$ ; $g (x) = \frac{x}{5}$
102399	Solve for x	11-4^x=5	$11 - 4^{x} = 5$
102400	Solve for x	-4<(2x-3)/3<4	$- 4 < \frac{2 x - 3}{3} < 4$