Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48901	Determine if Odd, Even, or Neither	m(x)=9x^2+4	$m (x) = 9 x^{2} + 4$
48902	Find the Domain	f(x) = square root of 2x^3-5x^2-3x	$f (x) = \sqrt{2 x^{3} - 5 x^{2} - 3 x}$
48903	Find the Domain	(x^3+4x^2-12x)/(x^2+x-30)	$\frac{x^{3} + 4 x^{2} - 12 x}{x^{2} + x - 30}$
48904	Determine if Odd, Even, or Neither	f(x)=(2x^3)/(3x^7-2)	$f (x) = \frac{2 x^{3}}{3 x^{7} - 2}$
48905	Find the Domain	f(x)=( square root of x+1)/(2-x-x^2)	$f (x) = \frac{\sqrt{x + 1}}{2 - x - x^{2}}$
48906	Solve the Function Operation	V_x=6 , 0m/s yV_y=-8 , 0m/s	$V_{x} = 6$ , $0 \frac{m}{s}$ $y V_{y} = - 8$ , $0 \frac{m}{s}$
48907	Solve the Function Operation	Given f(x)=5x+1 ; find f(0)	Given $f (x) = 5 x + 1$ ; find $f (0)$
48908	Find the Domain	(3x^2-12)/(x^2-x-6)	$\frac{3 x^{2} - 12}{x^{2} - x - 6}$
48909	Find the Domain	f(t)=(2t(t+1))/(t-1)-(3+t)/(t-1)	$f (t) = \frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$
48910	Find the Asymptotes	y=(x^2-3x-4)/(1-3x-4x^2)	$y = \frac{x^{2} - 3 x - 4}{1 - 3 x - 4 x^{2}}$
48911	Find the Domain	f(x)=1/(\|x\|-3)	$f (x) = \frac{1}{\| x \| - 3}$
48912	Find the Domain	(8a^3-b^3)/(4a^2-b^2)	$\frac{8 a^{3} - b^{3}}{4 a^{2} - b^{2}}$
48913	Find the Domain	((c+2)^2)/(7c^2+14c)	$\frac{{(c + 2)}^{2}}{7 c^{2} + 14 c}$
48914	Find the Domain	4/(4- square root of 25-x^2)	$\frac{4}{4 - \sqrt{25 - x^{2}}}$
48915	Find the Vertex	f(x)=x^2-6x+k	$f (x) = x^{2} - 6 x + k$
48916	Solve the Function Operation	f(x)=x^2-x-6 ; calcula (f(-5))/(f(2))	$f (x) = x^{2} - x - 6$ ; calcula $\frac{f (- 5)}{f (2)}$
48917	Find the Domain	(x(x-2))/((x-2)(x+3))	$\frac{x (x - 2)}{(x - 2) (x + 3)}$
48918	Find the Domain	((y^2-49)/((y-7)^2))÷((5y+35)/(y^2-7y))	$\frac{y^{2} - 49}{{(y - 7)}^{2}} \div \frac{5 y + 35}{y^{2} - 7 y}$
48919	Solve the Function Operation	f(x)=2x+4 if x<-2; x+4 if -2<=x<2; -(x-4)^2 if x>=2 Find f(2)	$f (x) = {\begin{cases} 2 x + 4 & x < - 2 \\ x + 4 & - 2 \leq x < 2 \\ - {(x - 4)}^{2} & x \geq 2 \end{cases}$ Find $f (2)$
48920	Find the Domain	16/(x-4)-(x^2)/(x-4)	$\frac{16}{x - 4} - \frac{x^{2}}{x - 4}$
48921	Find the Domain	(x-y)/x-(y-x)/y+(x^2+y^2)/(xy)	$\frac{x - y}{x} - \frac{y - x}{y} + \frac{x^{2} + y^{2}}{x y}$
48922	Find the Asymptotes	f(x)=tan(3x)-2	$f (x) = \tan (3 x) - 2$
48923	Find the Domain	(48x^5)/(49y^4)*(7y^2)/(16x^3)	$\frac{48 x^{5}}{49 y^{4}} \cdot \frac{7 y^{2}}{16 x^{3}}$
48924	Find the Domain	(10m-15n)÷(((2m-3n)^2)/(2m))	$(10 m - 15 n) \div \frac{{(2 m - 3 n)}^{2}}{2 m}$
48925	Find the Domain	(5a)/(5a+5)*(10a+10)	$\frac{5 a}{5 a + 5} \cdot (10 a + 10)$
48926	Find the Asymptotes	f(x)=1/8*4^(x+1)	$f (x) = \frac{1}{8} \cdot 4^{x + 1}$
48927	Find the Asymptotes	f(x)=(x^2+x-12)/(2x^2+x-21)	$f (x) = \frac{x^{2} + x - 12}{2 x^{2} + x - 21}$
48928	Find the Vertex	y=X^2-6x-41	$y = X^{2} - 6 x - 41$
48929	Find the Domain	1/(x^2-xy)-(y^2)/(x^2-y^2)*(x+y)/(y^3)	$\frac{1}{x^{2} - x y} - \frac{y^{2}}{x^{2} - y^{2}} \cdot \frac{x + y}{y^{3}}$
48930	Find the Domain	(4a^2-20a+25)/(25-4a^2)	$\frac{4 a^{2} - 20 a + 25}{25 - 4 a^{2}}$
48931	Find the Asymptotes	f(X)=4(2)^x-6	$f (X) = 4 {(2)}^{x} - 6$
48932	Find the GCF	Find the GCF of 5b and 6b	Find the GCF of $5 b$ and $6 b$
48933	Find the Domain	((7x^4)/(24y^5))÷((21x)/(12y^4))	$\frac{7 x^{4}}{24 y^{5}} \div \frac{21 x}{12 y^{4}}$
48934	Determine if Odd, Even, or Neither	f(x)=e^(x^8-x)	$f (x) = e^{x^{8} - x}$
48935	Solve the Function Operation	f(n)=2n+1 g(n)=3n Find f(n)+g(n)	$f (n) = 2 n + 1$ $g (n) = 3 n$ Find $f (n) + g (n)$
48936	Find the Domain	y/(3y^2-12)*(y^2-4y+4)	$\frac{y}{3 y^{2} - 12} \cdot (y^{2} - 4 y + 4)$
48937	Find the Domain	f(x)=4/(4- square root of 25-x^2)	$f (x) = \frac{4}{4 - \sqrt{25 - x^{2}}}$
48938	Find the Domain	((y+3)/(y+1))÷((y^2+4y+3)/(-5-5y))	$\frac{y + 3}{y + 1} \div \frac{y^{2} + 4 y + 3}{- 5 - 5 y}$
48939	Find the GCF	z^2 , -z^6	$z^{2}$ , $- z^{6}$
48940	Solve the Function Operation	Given that f(x)=x^2-3x-54 and g(x)=x+6 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 3 x - 54$ and $g (x) = x + 6$ ; find $(f \cdot g) (x)$ and express the result in standard form.
48941	Find the Domain	(11y+13)/(3y-3)+(15y+17)/(4-4y)	$\frac{11 y + 13}{3 y - 3} + \frac{15 y + 17}{4 - 4 y}$
48942	Solve the Function Operation	f(x)=-x+3 g(x)=2x^2-3x-7 Find: f(g(x))	$f (x) = - x + 3$ $g (x) = 2 x^{2} - 3 x - 7$ Find: $f (g (x))$
48943	Find the Asymptotes	y=1/2*2^x-4	$y = \frac{1}{2} \cdot 2^{x} - 4$
48944	Evaluate the Function	x=5 , 6 , 7	$x = 5$ , $6$ , $7$
48945	Find the Slope	(1,-4) and (-4,-6)	$(1, - 4)$ and $(- 4, - 6)$
48946	Find the Domain	(x^3-y^3)/(x^2-y^2)	$\frac{x^{3} - y^{3}}{x^{2} - y^{2}}$
48947	Find the Domain	((x-y)^2)/(x+y)*(3x+3y)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{x + y} \cdot \frac{3 x + 3 y}{x^{2} - y^{2}}$
48948	Find the Vertex	x+3y^2+12y=18	$x + 3 y^{2} + 12 y = 18$
48949	Find the Domain	(x^2+x-10)/(x(x-5))	$\frac{x^{2} + x - 10}{x (x - 5)}$
48950	Solve the Function Operation	Find (f/g)(x) when f(x)=36x^4 and g(x)=4x^3 , x!=0	Find $(\frac{f}{g}) (x)$ when $f (x) = 36 x^{4}$ and $g (x) = 4 x^{3}$ , $x \neq 0$
48951	Find the Domain	((6x^2)/(5y))÷((3x)/(10y^2))	$\frac{6 x^{2}}{5 y} \div \frac{3 x}{10 y^{2}}$
48952	Find the Domain	(x^2-5x)/(x^2-3x)*(x+3)/(x-5)	$\frac{x^{2} - 5 x}{x^{2} - 3 x} \cdot \frac{x + 3}{x - 5}$
48953	Solve the Function Operation	f(x) = square root of x-2 ; find f^-1(x)	$f (x) = \sqrt{x - 2}$ ; find $f^{- 1} (x)$
48954	Find the Asymptotes	j(x)=tan(pi/2x)	$j (x) = \tan (\frac{π}{2} x)$
48955	Solve the Function Operation	cos(theta)=-4/5 , theta in Quadrant II	$\cos (θ) = - \frac{4}{5}$ , $θ$ in Quadrant $I \cdot I$
48956	Find the Domain	a/(a^2-9)+3/(9-a^2)	$\frac{a}{a^{2} - 9} + \frac{3}{9 - a^{2}}$
48957	Find the Domain	F(x)=x-1	$F (x) = x - 1$
48958	Find the Domain	((y^2-16)/(y^2-10y+25))÷((3y-12)/(y^2-3y-10))	$\frac{y^{2} - 16}{y^{2} - 10 y + 25} \div \frac{3 y - 12}{y^{2} - 3 y - 10}$
48959	Determine if Odd, Even, or Neither	f(x)=\|x\|^3	$f (x) = {\| x \|}^{3}$
48960	Find the Vertex	((y-1)^2)/4-((x+2)^2)/9=1	$\frac{{(y - 1)}^{2}}{4} - \frac{{(x + 2)}^{2}}{9} = 1$
48961	Solve the Function Operation	10^-4=1/(10,0)	$10^{- 4} = \frac{1}{10, 0}$
48962	Find the Domain	f(x)=( natural log of 3-x)/( square root of x^2-1)	$f (x) = \frac{\ln (3 - x)}{\sqrt{x^{2} - 1}}$
48963	Find the Domain	F(x)=(x-4)/( square root of 2-x)	$F (x) = \frac{x - 4}{\sqrt{2 - x}}$
48964	Find the Domain	f(x)=4^((x+1)/(x-2))	$f (x) = 4^{\frac{x + 1}{x - 2}}$
48965	Find the Average Rate of Change	S(t)=t^2+3t-6 , t=0 , t=2	$S (t) = t^{2} + 3 t - 6$ , $t = 0$ , $t = 2$
48966	Find the Domain	b/(2a^2-ab)-(4a)/(2ab-b^2)	$\frac{b}{2 a^{2} - a b} - \frac{4 a}{2 a b - b^{2}}$
48967	Find the Domain	(m+1-1/(1-m))÷(m-(m^2)/(m-1))	$(m + 1 - \frac{1}{1 - m}) \div (m - \frac{m^{2}}{m - 1})$
48968	Solve the Function Operation	Find (f-g)(x) if f(x)=x^3+9x-2 and g(x)=3x^3+4x^2+1	Find $(f - g) (x)$ if $f (x) = x^{3} + 9 x - 2$ and $g (x) = 3 x^{3} + 4 x^{2} + 1$
48969	Determine if Odd, Even, or Neither	f(x)=(x^3+5x)	$f (x) = (x^{3} + 5 x)$
48970	Evaluate the Function	2 , 400=7 , 500(10)^(-x)	$2$ , $400 = 7$ , $500 {(10)}^{- x}$
48971	Find the Domain	(kx+k^2)/(x^2)*x/(x+k)	$\frac{k x + k^{2}}{x^{2}} \cdot \frac{x}{x + k}$
48972	Find the Domain	(ab^3-9ab)/(12ab^2+12ab-144a)	$\frac{a b^{3} - 9 a b}{12 a b^{2} + 12 a b - 144 a}$
48973	Find the Domain	(x+5)/(x^3-25x)*(2x^3-11x^2+5x)	$\frac{(x + 5)}{(x^{3} - 25 x)} \cdot (2 x^{3} - 11 x^{2} + 5 x)$
48974	Find the Domain	(-(18a^2b^2)/(5cd))÷(-(9ab^3)/(5c^2d^4))	$- \frac{18 a^{2} b^{2}}{5 c d} \div (- \frac{9 a b^{3}}{5 c^{2} d^{4}})$
48975	Find the Domain	y=(2x^3+3x)/(x^3-x^2-6x)	$y = \frac{2 x^{3} + 3 x}{x^{3} - x^{2} - 6 x}$
48976	Find the Domain	(2y-3x)/(xy)	$\frac{2 y - 3 x}{x y}$
48977	Determine if Odd, Even, or Neither	g(X)=-6x^4+3x^2	$g (X) = - 6 x^{4} + 3 x^{2}$
48978	Solve the Function Operation	f(x)=x^2+9 g(x)=x-9 Find f(x)-g(x)	$f (x) = x^{2} + 9$ $g (x) = x - 9$ Find $f (x) - g (x)$
48979	Find the Domain	a/(a-6)-3/(a+6)+(a^2)/(36-a^2)	$\frac{a}{a - 6} - \frac{3}{a + 6} + \frac{a^{2}}{36 - a^{2}}$
48980	Find the Domain	(4a)/(a+b)	$\frac{4 a}{a + b}$
48981	Find the Domain	(x^2-3xy)/((x+y)(x-y))+y/(x-y)	$\frac{x^{2} - 3 x y}{(x + y) (x - y)} + \frac{y}{x - y}$
48982	Find the Asymptotes	f(x)=5/(x^2(x-4)(x+2))	$f (x) = \frac{5}{x^{2} (x - 4) (x + 2)}$
48983	Find the Asymptotes	f(x)=-2+ log base 5 of -x	$f (x) = - 2 + \log_{5} (- x)$
48984	Find the Domain	-(3x-2y)/(2y+3x)	$- \frac{3 x - 2 y}{2 y + 3 x}$
48985	Evaluate the Function	3^(2x)=6 , 561	$3^{2 x} = 6$ , $561$
48986	Find the Domain	( square root of x-2)/(x(x-1))	$\frac{\sqrt{x - 2}}{x (x - 1)}$
48987	Solve the Function Operation	x=5 , 6 , 7	$x = 5$ , $6$ , $7$
48988	Find the Asymptotes	f(x)=1/2*e^(-x)-1	$f (x) = \frac{1}{2} \cdot e^{- x} - 1$
48989	Solve the Function Operation	([(1,4-0,2)*3,2])÷1 , 5	$[(1, 4 - 0, 2) \times 3, 2] \div 1$ , $5$
48990	Find the Domain	(y^2)/(y-1)+1/(1-y)	$\frac{y^{2}}{y - 1} + \frac{1}{1 - y}$
48991	Find the GCF	12 and 16	$12$ and $16$
48992	Solve the Function Operation	f(x)=x^2-5x+2 g(x)=-4x-7 Find: g(f(x))	$f (x) = x^{2} - 5 x + 2$ $g (x) = - 4 x - 7$ Find: $g (f (x))$
48993	Find the Domain	tan(x)+cot(x)=sin(x)	$\tan (x) + \cot (x) = \sin (x)$
48994	Solve the Function Operation	If f(x)=2x^3+5x^2-9 and g(x)=x^2-2x+3 ; find (f-g)(x)	If $f (x) = 2 x^{3} + 5 x^{2} - 9$ and $g (x) = x^{2} - 2 x + 3$ ; find $(f - g) (x)$
48995	Solve the Function Operation	Given that f(x)=x^2+3x-40 and g(x)=x-5 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 40$ and $g (x) = x - 5$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
48996	Solve the Function Operation	f(x)=(x-1)^2+3 find (f(x+2)-f(x-2))/(x-1)	$f (x) = {(x - 1)}^{2} + 3$ find $\frac{f (x + 2) - f (x - 2)}{x - 1}$
48997	Solve the Function Operation	Given g(x)=-2x+1 ; find g(-1)	Given $g (x) = - 2 x + 1$ ; find $g (- 1)$
48998	Solve the Function Operation	If f(x)=18x^5 and g(x)=6x^3 , x!=0 ; find (f/g)(x)	If $f (x) = 18 x^{5}$ and $g (x) = 6 x^{3}$ , $x \neq 0$ ; find $(\frac{f}{g}) (x)$
48999	Solve the Function Operation	Given g(x)=-x-2 ; find g(-3)	Given $g (x) = - x - 2$ ; find $g (- 3)$
49000	Solve the Function Operation	If f(x)=20x^6 and g(x)=2x , x!=0 ; find (f/g)(x)	If $f (x) = 20 x^{6}$ and $g (x) = 2 x$ , $x \neq 0$ ; find $(\frac{f}{g}) (x)$