Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
50301	Find the Slope	(6,9) and (11,2)	$(6, 9)$ and $(11, 2)$
50302	Solve the Function Operation	g(n)=4n+4 f(n)=3n^3-4 Find g(f(n))	$g (n) = 4 n + 4$ $f (n) = 3 n^{3} - 4$ Find $g (f (n))$
50303	Solve the Function Operation	(-2x^2-8x+3)+(-9x^2+x+3)	$(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)$
50304	Find the Domain	(6a)/(x^2-x)*(2x-2)/(3ax)	$\frac{6 a}{x^{2} - x} \cdot \frac{2 x - 2}{3 a x}$
50305	Solve the Function Operation	The functions f and g are defined by f(x)=1/2x+2 and g(x)=2x Therefore f(2)+g(2) is equal to?	The functions $f$ and $g$ are defined by $f (x) = \frac{1}{2} x + 2$ and $g (x) = 2 x$ Therefore $f (2) + g (2)$ is equal to?
50306	Find the Domain	square root of 6^t-36	$\sqrt{6^{t} - 36}$
50307	Find the Vertex	(x^2)/12+((y-7)^2)/15=1	$\frac{x^{2}}{12} + \frac{{(y - 7)}^{2}}{15} = 1$
50308	Find the Asymptotes	P(x)=x/(2x^2+5x-3)	$P (x) = \frac{x}{2 x^{2} + 5 x - 3}$
50309	Solve the Function Operation	If f(x)=x^2-5x+6 and g(x)=2x^2+4x-1 ; find: f(-2)	If $f (x) = x^{2} - 5 x + 6$ and $g (x) = 2 x^{2} + 4 x - 1$ ; find: $f (- 2)$
50310	Determine if Odd, Even, or Neither	f(x)=(x^2-7)/(5x^3+x)	$f (x) = \frac{x^{2} - 7}{5 x^{3} + x}$
50311	Solve the Function Operation	Given that f(x)=x^2+8x+15 and g(x)=x+5 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 8 x + 15$ and $g (x) = x + 5$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
50312	Find the Slope	(-4,-8) and (-1,6)	$(- 4, - 8)$ and $(- 1, 6)$
50313	Find the Domain	p(x)=2 square root of -1/2x+4	$p (x) = 2 \sqrt{- \frac{1}{2} x + 4}$
50314	Find the Asymptotes	f(x)=-4/(2x+8)-2	$f (x) = - \frac{4}{2 x + 8} - 2$
50315	Find the Asymptotes	f(x)=x^3sec(x)	$f (x) = x^{3} \sec (x)$
50316	Find the Domain	cube root of x^2-9	$\sqrt[3]{x^{2} - 9}$
50317	Find the Domain	f(x) = square root of 9- square root of -x	$f (x) = \sqrt{9 - \sqrt{- x}}$
50318	Find the Vertex	2y^2=x-4	$2 y^{2} = x - 4$
50319	Find the Slope	(-3,-16) and (6,29)	$(- 3, - 16)$ and $(6, 29)$
50320	Find the Asymptotes	2/(x^3-x)	$\frac{2}{x^{3} - x}$
50321	Find the GCF	24 and 56	$24$ and $56$
50322	Find the Average Rate of Change	y=x^2+2x-1	$y = x^{2} + 2 x - 1$
50323	Find the Asymptotes	((x^2-2x+3)/(5x^3-7x^2+2x-7))	$(\frac{x^{2} - 2 x + 3}{5 x^{3} - 7 x^{2} + 2 x - 7})$
50324	Find the Asymptotes	(2(x+6)(x+1))/((2x-5)(x+1))	$\frac{2 (x + 6) (x + 1)}{(2 x - 5) (x + 1)}$
50325	Find the Asymptotes	f(x)=((x-6)(x-8)(x-3))/(2x^3+x^2-7x-8)	$f (x) = \frac{(x - 6) (x - 8) (x - 3)}{2 x^{3} + x^{2} - 7 x - 8}$
50326	Solve the Function Operation	If f(x)=4x^2-3x and g(x)=6-7x ; find: (f+g)(5)	If $f (x) = 4 x^{2} - 3 x$ and $g (x) = 6 - 7 x$ ; find: $(f + g) (5)$
50327	Find the Slope	(5,4) and (7,10)	$(5, 4)$ and $(7, 10)$
50328	Evaluate the Function	(-2,-16) , (1,5) , (3,59) , (6,440)	$(- 2, - 16)$ , $(1, 5)$ , $(3, 59)$ , $(6, 440)$
50329	Solve the Function Operation	f(x)=8 cube root of x-4 ; find f^-1(x)	$f (x) = 8 \sqrt[3]{x} - 4$ ; find $f^{- 1} (x)$
50330	Find the GCF	8m^2 , 4my*10m^4	$8 m^{2}$ , $4 m y \cdot 10 m^{4}$
50331	Solve the Function Operation	If f(x)=2x and g(x)=5x ; what is f(g(x)) when x=3 ?	If $f (x) = 2 x$ and $g (x) = 5 x$ ; what is $f (g (x))$ when $x = 3$ ?
50332	Solve the Function Operation	h(n)=4n+5 g(n)=3n+4 Find (h-g)(n)	$h (n) = 4 n + 5$ $g (n) = 3 n + 4$ Find $(h - g) (n)$
50333	Solve the Function Operation	Given that f(x)=x^2-6x+8 and g(x)=x-2 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 6 x + 8$ and $g (x) = x - 2$ ; find $f (x) - g (x)$ and express the result in standard form.
50334	Find the Slope	(2,5) and (3,7)	$(2, 5)$ and $(3, 7)$
50335	Find the Constant of Variation	y=6 when x=3	$y = 6$ when $x = 3$
50336	Solve the Function Operation	f(9) if f(x)=x+13	$f (9)$ if $f (x) = x + 13$
50337	Find the Slope	What is the slope of the line passing through the points (-1,7) and (3,107) ?	What is the slope of the line passing through the points $(- 1, 7)$ and $(3, 107)$ ?
50338	Find the Asymptotes	(2(x-8))/((2x-3)(x-8))	$\frac{2 (x - 8)}{(2 x - 3) (x - 8)}$
50339	Find the Slope	y=x/2	$y = \frac{x}{2}$
50340	Find the Domain	f(x)=(12x^4+10x-3)/(3x^4)	$f (x) = \frac{12 x^{4} + 10 x - 3}{3 x^{4}}$
50341	Find the Domain	(x^2+x-10)/(x^2-5x)	$\frac{x^{2} + x - 10}{x^{2} - 5 x}$
50342	Find the Asymptotes	(3(x-10))/(2x+1)	$\frac{3 (x - 10)}{2 x + 1}$
50343	Solve the Function Operation	If P(x)=x^2+x+2 ; find P(8)	If $P (x) = x^{2} + x + 2$ ; find $P (8)$
50344	Solve the Function Operation	Find p(-4) if p(x)=3x^2-4x+7	Find $p (- 4)$ if $p (x) = 3 x^{2} - 4 x + 7$
50345	Find the Slope	(9,8) and (-1,-3)	$(9, 8)$ and $(- 1, - 3)$
50346	Find the Domain	Let f(x)=3x-6 and g(x)=x-2 Find f/g and its domain.	Let $f (x) = 3 x - 6$ and $g (x) = x - 2$ Find $\frac{f}{g}$ and its domain.
50347	Solve the Function Operation	When f(x)=x^2+9 and g(x)=x-9 ; find f(x)-g(x)	When $f (x) = x^{2} + 9$ and $g (x) = x - 9$ ; find $f (x) - g (x)$
50348	Find the Asymptotes	f(x)=1/(3x+18)+2	$f (x) = \frac{1}{3 x + 18} + 2$
50349	Solve the Function Operation	If f(x)=x^2-2x and g(x)=6x+4 ; for which value of x does (f+g)(x)=0 ?	If $f (x) = x^{2} - 2 x$ and $g (x) = 6 x + 4$ ; for which value of $x$ does $(f + g) (x) = 0$ ?
50350	Find the GCF	16 and 40	$16$ and $40$
50351	Evaluate the Function	1/(10,0,0)	$\frac{1}{10, 0, 0}$
50352	Find the Domain	square root of x^2-4	$\sqrt{x^{2}} - 4$
50353	Find the Domain	f(x)=1/(\|x\|+3)	$f (x) = \frac{1}{\| x \| + 3}$
50354	Solve the Function Operation	f(x)=(x+7)^2-7 if x!=-4; 3 if x=-4 Find f(-5)	$f (x) = {\begin{cases} {(x + 7)}^{2} - 7 & x \neq - 4 \\ 3 & x = - 4 \end{cases}$ Find $f (- 5)$
50355	Solve the Function Operation	Given that f(x)=x^2-2x-35 and g(x)=x+5 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 2 x - 35$ and $g (x) = x + 5$ ; find $(f \div g) (x)$ and express the result in standard form.
50356	Solve the Function Operation	If c(x)=5/(x-2) and d(x)=x+3 ; what is the domain of (cd)(x) ?	If $c (x) = \frac{5}{x - 2}$ and $d (x) = x + 3$ ; what is the domain of $(c d) (x)$ ?
50357	Solve the Function Operation	f(x)=8x^5-7 ; find f^-1(x)	$f (x) = 8 x^{5} - 7$ ; find $f^{- 1} (x)$
50358	Find the Domain	5/(x-6.2)+(2-x)/(2.8+x)	$\frac{5}{x - 6.2} + \frac{2 - x}{2.8 + x}$
50359	Find the Asymptotes	f(x)=(-2x+8x^3+3)/(-4x^3+7x^2-2)	$f (x) = \frac{- 2 x + 8 x^{3} + 3}{- 4 x^{3} + 7 x^{2} - 2}$
50360	Solve the Function Operation	If f(x)=x^2-25 and g(x)=x-5 , x!=5 ; find (f/g)(x)	If $f (x) = x^{2} - 25$ and $g (x) = x - 5$ , $x \neq 5$ ; find $(\frac{f}{g}) (x)$
50361	Find the Slope	(1,2) and (7,7)	$(1, 2)$ and $(7, 7)$
50362	Find the Asymptotes	f(x)=(2x^3+8x^2-10x)/(2x^2+2x)	$f (x) = \frac{2 x^{3} + 8 x^{2} - 10 x}{2 x^{2} + 2 x}$
50363	Solve the Function Operation	f(x)=3x-7 and g(x)=-2x-6 Find (fog)(4)	$f (x) = 3 x - 7$ and $g (x) = - 2 x - 6$ Find $((f \circ g)) (4)$
50364	Determine if Odd, Even, or Neither	f(x) = square root of 2x-5	$f (x) = \sqrt{2 x - 5}$
50365	Evaluate the Function	f(t)=-2t^2+1 for f(-3)	$f (t) = - 2 t^{2} + 1$ for $f (- 3)$
50366	Find the Slope	(8,8) and (1,2)	$(8, 8)$ and $(1, 2)$
50367	Find the Asymptotes	f(x)=(6-5x^3)/(3x^3-8x-5)	$f (x) = \frac{6 - 5 x^{3}}{3 x^{3} - 8 x - 5}$
50368	Evaluate the Function	10^x=100 , 0	$10^{x} = 100$ , $0$
50369	Find the Domain	f(x)=(5x)/( square root of 3x^2-12)	$f (x) = \frac{5 x}{\sqrt{3 x^{2} - 12}}$
50370	Find the Asymptotes	f(x)=(5x-4x^3-2)/(3x^3-x^2-5)	$f (x) = \frac{5 x - 4 x^{3} - 2}{3 x^{3} - x^{2} - 5}$
50371	Find the Slope	(-3,-4) and (3,0)	$(- 3, - 4)$ and $(3, 0)$
50372	Find the Average Rate of Change	f(x)=sin(x/2)	$f (x) = \sin (\frac{x}{2})$
50373	Determine if Odd, Even, or Neither	f(x)=a^x	$f (x) = a^{x}$
50374	Find the Asymptotes	f(x)=2* log base 3 of x+4	$f (x) = 2 \cdot \log_{3} (x + 4)$
50375	Find the Domain	1-(1-x^3)^3	$1 - {(1 - x^{3})}^{3}$
50376	Solve the Function Operation	f(x)=x^2-x-6 calcula (f(-5))/(f(2))	$f (x) = x^{2} - x - 6$ calcula $\frac{f (- 5)}{f (2)}$
50377	Find the Asymptotes	f(x)=(5x^3)/(x^3+8)	$f (x) = \frac{5 x^{3}}{x^{3} + 8}$
50378	Solve the Function Operation	If f(x)=1/x and g(x)=3x+2 find (gog)(-4)	If $f (x) = \frac{1}{x}$ and $g (x) = 3 x + 2$ find $((g \circ g)) (- 4)$
50379	Find the Asymptotes	((3x+5)(x+9))/(2(3x+5))	$\frac{(3 x + 5) (x + 9)}{2 (3 x + 5)}$
50380	Solve the Function Operation	Given f(x)=-2x^3+x^2-2 find f(1)	Given $f (x) = - 2 x^{3} + x^{2} - 2$ find $f (1)$
50381	Solve the Function Operation	If f(x)=x^2+5x and g(x)=7-x ; find: (f-g)(-6)	If $f (x) = x^{2} + 5 x$ and $g (x) = 7 - x$ ; find: $(f - g) (- 6)$
50382	Find the Domain	(3x-3)/( square root of 4x+3)	$\frac{3 x - 3}{\sqrt{4 x + 3}}$
50383	Find the Domain	r(t)=(t^2-1)/(t^3+6t^2+t)	$r (t) = \frac{t^{2} - 1}{t^{3} + 6 t^{2} + t}$
50384	Find the Slope	(0,1) and (5,4)	$(0, 1)$ and $(5, 4)$
50385	Find the Asymptotes	(3(x+4)(x-4))/(x(2x-1))	$\frac{3 (x + 4) (x - 4)}{x (2 x - 1)}$
50386	Find the Slope	(-1,8) and (-1,-4)	$(- 1, 8)$ and $(- 1, - 4)$
50387	Split Using Partial Fraction Decomposition	(6x^2+12x-177)/(x^2+x-30)	$\frac{6 x^{2} + 12 x - 177}{x^{2} + x - 30}$
50388	Find the Slope	(1,0) and (6,-3)	$(1, 0)$ and $(6, - 3)$
50389	Find the Vertex	x+8=1/5y^2	$x + 8 = \frac{1}{5} y^{2}$
50390	Find the Slope	(-7,4) and (2,-3)	$(- 7, 4)$ and $(2, - 3)$
50391	Find the Slope	(-10,3) and (-8,-8)	$(- 10, 3)$ and $(- 8, - 8)$
50392	Find the GCF	18 and 54	$18$ and $54$
50393	Find the Domain	f(x)=x+6 if x<=3; x^2 if x>3	$f (x) = {\begin{cases} x + 6 & x \leq 3 \\ x^{2} & x > 3 \end{cases}$
50394	Solve the Function Operation	f(x)=8(x+9)^(1/7) ; find f^-1(x)	$f (x) = 8 {(x + 9)}^{\frac{1}{7}}$ ; find $f^{- 1} (x)$
50395	Find the Domain	f(x) = square root of 3-e^(2x)	$f (x) = \sqrt{3 - e^{2 x}}$
50396	Find the Domain	f(x)=(-x^2+x+2)/(x^2-2x-3)	$f (x) = \frac{- x^{2} + x + 2}{x^{2} - 2 x - 3}$
50397	Find the Domain	((3ab)/(4xy))÷(-(21a^2b)/(10x^2y))	$\frac{3 a b}{4 x y} \div (- \frac{21 a^{2} b}{10 x^{2} y})$
50398	Find the Slope	What is the slope of the line through (6,9) and (7,1) ?	What is the slope of the line through $(6, 9)$ and $(7, 1)$ ?
50399	Solve the Function Operation	Given that f(x)=x^2+2x-8 and g(x)=x+4 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 2 x - 8$ and $g (x) = x + 4$ ; find $(f - g) (x)$ and express the result in standard form.
50400	Find the Domain	g(t)=3 square root of x-9	$g (t) = 3 \sqrt{x - 9}$