Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
48701	Find the Domain	g(t) = square root of 8^t-64	$g (t) = \sqrt{8^{t} - 64}$
48702	Find the Average Rate of Change	f(x)=4	$f (x) = 4$
48703	Find the Vertex	y=1/4(8x-x^2)	$y = \frac{1}{4} (8 x - x^{2})$
48704	Find the Slope	(-4,7) and (-2,2)	$(- 4, 7)$ and $(- 2, 2)$
48705	Find the Slope	(1,1) and (4,3)	$(1, 1)$ and $(4, 3)$
48706	Find the Slope	(-5,-8) and (0,-1)	$(- 5, - 8)$ and $(0, - 1)$
48707	Find the Slope	(1,2) and (4,-1)	$(1, 2)$ and $(4, - 1)$
48708	Solve the Function Operation	g(x)=-2x-4 ; find g(6)	$g (x) = - 2 x - 4$ ; find $g (6)$
48709	Solve the Function Operation	f(x)=-x+2 ; find f(-5)	$f (x) = - x + 2$ ; find $f (- 5)$
48710	Solve the Function Operation	f(x)=5x^(1/4) ; find f^-1(x)	$f (x) = 5 x^{\frac{1}{4}}$ ; find $f^{- 1} (x)$
48711	Use the Rational Roots Test to Find All Possible Roots	3x^5-x^4+6x^3-2x^2+8x-5=0	$3 x^{5} - x^{4} + 6 x^{3} - 2 x^{2} + 8 x - 5 = 0$
48712	Find the Domain	square root of x+sin(x)	$\sqrt{x} + \sin (x)$
48713	Find the Slope	(-1,9) and (2,3)	$(- 1, 9)$ and $(2, 3)$
48714	Find the Asymptotes	f(x)=(x^3+6x^2+8x)/(x^3-9x)	$f (x) = \frac{x^{3} + 6 x^{2} + 8 x}{x^{3} - 9 x}$
48715	Solve the Function Operation	y+2x=5 , x=-1 , 0 , 3	$y + 2 x = 5$ , $x = - 1$ , $0$ , $3$
48716	Find the Slope	(-12,-1) and (-3,-4)	$(- 12, - 1)$ and $(- 3, - 4)$
48717	Find the Domain	R(x)=(x^2+x-6)/(x-3)	$R (x) = \frac{x^{2} + x - 6}{x - 3}$
48718	Solve the Function Operation	f(x)=2x^2+x-4 g(x)=-4x-15 Find: (gof)(x)	$f (x) = 2 x^{2} + x - 4$ $g (x) = - 4 x - 15$ Find: $((g \circ f)) (x)$
48719	Solve the Function Operation	f(x)=3x+5 and g(x)=-2x^2-5x+3 ; find (f+g)(x)	$f (x) = 3 x + 5$ and $g (x) = - 2 x^{2} - 5 x + 3$ ; find $(f + g) (x)$
48720	Evaluate the Function	1000^x=1 , 0 , 0	$1000^{x} = 1$ , $0$ , $0$
48721	Solve the Function Operation	h(x)=-x+2 ; find h(2)	$h (x) = - x + 2$ ; find $h (2)$
48722	Find the Asymptotes	(x^2)/25-y/16=1	$\frac{x^{2}}{25} - \frac{y}{16} = 1$
48723	Solve the Function Operation	f(x)=9(x-8) ; find f^-1(x)	$f (x) = 9 (x - 8)$ ; find $f^{- 1} (x)$
48724	Find the Vertex	f(x)=-(x^2+x-30)	$f (x) = - (x^{2} + x - 30)$
48725	Solve the Function Operation	f(x)=5x^(1/5) ; find f^-1(x)	$f (x) = 5 x^{\frac{1}{5}}$ ; find $f^{- 1} (x)$
48726	Find the Domain	f(x)=1/( square root of \|x\|-x)	$f (x) = \frac{1}{\sqrt{\| x \| - x}}$
48727	Find the GCF	36 and 54	$36$ and $54$
48728	Find the GCF	24 and 32	$24$ and $32$
48729	Solve the Function Operation	f(x)=( square root of x)/2 ; find f^-1(x)	$f (x) = \frac{\sqrt{x}}{2}$ ; find $f^{- 1} (x)$
48730	Solve the Function Operation	f(x)=x+8 and g(x)=-4x-3 ; find (f+g)(x)	$f (x) = x + 8$ and $g (x) = - 4 x - 3$ ; find $(f + g) (x)$
48731	Find the Average Rate of Change	y=3x+2	$y = 3 x + 2$
48732	Find the Asymptotes	f(x)=(5x^3-2x^2+8)/(4x-3x^3+5)	$f (x) = \frac{5 x^{3} - 2 x^{2} + 8}{4 x - 3 x^{3} + 5}$
48733	Solve the Function Operation	g(x)=5x+1 ; find g(2)	$g (x) = 5 x + 1$ ; find $g (2)$
48734	Find the Slope	(-2,0) and (2,-4)	$(- 2, 0)$ and $(2, - 4)$
48735	Find the Domain	f(x)=( square root of x-1)^2	$f (x) = {(\sqrt{x - 1})}^{2}$
48736	Solve the Function Operation	f(x)=3^x+10x and g(x)=2x-4 ; find (f+g)(x)	$f (x) = 3^{x} + 10 x$ and $g (x) = 2 x - 4$ ; find $(f + g) (x)$
48737	Find the Slope	Find the slope of the line passing through the points (-5,3) and (7,9)	Find the slope of the line passing through the points $(- 5, 3)$ and $(7, 9)$
48738	Find the Slope	(10,-8) and (1,12)	$(10, - 8)$ and $(1, 12)$
48739	Solve the Function Operation	f(x)=-x-3 ; find f(-6)	$f (x) = - x - 3$ ; find $f (- 6)$
48740	Find the GCF	18x^2 and 6x	$18 x^{2}$ and $6 x$
48741	Find the Slope	(0,-1) and (5,6)	$(0, - 1)$ and $(5, 6)$
48742	Find the Domain	F(x)=(3x(x-1))/(2x^2-5x-3)	$F (x) = \frac{3 x (x - 1)}{2 x^{2} - 5 x - 3}$
48743	Find the Asymptotes	f(x)=(4x^3-x^2+3)/(3x^3+24)	$f (x) = \frac{4 x^{3} - x^{2} + 3}{3 x^{3} + 24}$
48744	Find the Slope	Find the slope of the line passing through the points (-3,3) and (5,9)	Find the slope of the line passing through the points $(- 3, 3)$ and $(5, 9)$
48745	Solve the Function Operation	g(x)=3x-4 ; find g(1)	$g (x) = 3 x - 4$ ; find $g (1)$
48746	Solve the Function Operation	g(x)=-4x+4 ; find g(3)	$g (x) = - 4 x + 4$ ; find $g (3)$
48747	Solve the Function Operation	f(x)=x^2-5x-9 g(x)=x-14 Find: (gof)(x)	$f (x) = x^{2} - 5 x - 9$ $g (x) = x - 14$ Find: $((g \circ f)) (x)$
48748	Solve the Function Operation	f(x)=2x^2-5x-15 g(x)=-2x-1 Find: f(g(x))	$f (x) = 2 x^{2} - 5 x - 15$ $g (x) = - 2 x - 1$ Find: $f (g (x))$
48749	Solve the Function Operation	f(x)=3x-2 ; find f(-5)	$f (x) = 3 x - 2$ ; find $f (- 5)$
48750	Solve the Function Operation	g(x)=-3x-4 ; find g(5)	$g (x) = - 3 x - 4$ ; find $g (5)$
48751	Solve the Function Operation	f(x)=6 if x<=-4; -3x-6 if -4=0 Find f(0)	$f (x) = {\begin{cases} 6 & x \leq - 4 \\ - 3 x - 6 & - 4 = 0 \end{cases}$ Find $f (0)$
48752	Evaluate the Function	(f+g)(2)	$(f + g) (2)$
48753	Find the Asymptotes	F(x)=6+1/x	$F (x) = 6 + \frac{1}{x}$
48754	Solve the Function Operation	f(x)=3/(x-1) , (f(x+h)-f(x))/h	$f (x) = \frac{3}{x - 1}$ , $\frac{f (x + h) - f (x)}{h}$
48755	Find the GCF	20a^2b^2 and 50b^3	$20 a^{2} b^{2}$ and $50 b^{3}$
48756	Find the Slope	(-3,5) and (4,5)	$(- 3, 5)$ and $(4, 5)$
48757	Solve the Function Operation	g(x)=-2x-1 ; find g(-4)	$g (x) = - 2 x - 1$ ; find $g (- 4)$
48758	Solve the Function Operation	f(x)=3^x+10x and g(x)=5x-3 ; find (f-g)(x)	$f (x) = 3^{x} + 10 x$ and $g (x) = 5 x - 3$ ; find $(f - g) (x)$
48759	Find the Domain	(y+2)/( square root of y-10)	$\frac{y + 2}{\sqrt{y - 10}}$
48760	Find the GCF	28 and 48	$28$ and $48$
48761	Solve the Function Operation	f(x)=-x+2 ; find f(0)	$f (x) = - x + 2$ ; find $f (0)$
48762	Solve the Function Operation	27+3-45:5+16	$27 + 3 - 45 : 5 + 16$
48763	Determine if Odd, Even, or Neither	f(x)=3 square root of x	$f (x) = 3 \sqrt{x}$
48764	Find the Asymptotes	G(x)=(x^4-16)/(3x^2-6x)	$G (x) = \frac{x^{4} - 16}{3 x^{2} - 6 x}$
48765	Solve the Function Operation	f(x)=x^2+4x-13 g(x)=-2x+7 Find: f(g(x))	$f (x) = x^{2} + 4 x - 13$ $g (x) = - 2 x + 7$ Find: $f (g (x))$
48766	Find the Average Rate of Change	f(x)=x^3	$f (x) = x^{3}$
48767	Solve the Function Operation	f(x)=x^2+4x-1 g(x)=2x-7 Find: g(f(x))	$f (x) = x^{2} + 4 x - 1$ $g (x) = 2 x - 7$ Find: $g (f (x))$
48768	Find the Slope	(-4,-3) and (2,-9)	$(- 4, - 3)$ and $(2, - 9)$
48769	Find the Domain	log of 16x-x^2	$\log (16 x - x^{2})$
48770	Find the Asymptotes	w(x)=(x+3x^4)/(x^2)	$w (x) = \frac{x + 3 x^{4}}{x^{2}}$
48771	Find the Asymptotes	(x^2+9x+8)/(x^3-4x)	$\frac{x^{2} + 9 x + 8}{x^{3} - 4 x}$
48772	Solve the Function Operation	f(x)=2x-7 g(x)=2x^2+2x-7 Find: f(g(x))	$f (x) = 2 x - 7$ $g (x) = 2 x^{2} + 2 x - 7$ Find: $f (g (x))$
48773	Find the Slope	(-6,-3) and (6,-7)	$(- 6, - 3)$ and $(6, - 7)$
48774	Find the Asymptotes	f(x)=((x-1)(x+5)(x+8))/((x-1)(x-4)(x+9))	$f (x) = \frac{(x - 1) (x + 5) (x + 8)}{(x - 1) (x - 4) (x + 9)}$
48775	Solve the Function Operation	f(x)=2x+1 and g(x)=x^2-7 ; find (f-g)(x)	$f (x) = 2 x + 1$ and $g (x) = x^{2} - 7$ ; find $(f - g) (x)$
48776	Solve the Function Operation	f(n)=n^2-2n ; Find f(n^2)	$f (n) = n^{2} - 2 n$ ; Find $f (n^{2})$
48777	Solve the Function Operation	f(x)=-4x+3 ; find f(-3)	$f (x) = - 4 x + 3$ ; find $f (- 3)$
48778	Find the Asymptotes	f(x)=(6x^3-15x^2+x-4)/(3x^2-1)	$f (x) = \frac{6 x^{3} - 15 x^{2} + x - 4}{3 x^{2} - 1}$
48779	Find the Domain	f(x)=(x^2-x)/(x^3-4x)	$f (x) = \frac{x^{2} - x}{x^{3} - 4 x}$
48780	Solve the Function Operation	f(x)=(x^(1/3))/3 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{3}}}{3}$ ; find $f^{- 1} (x)$
48781	Find the Asymptotes	f(x)=(-3x+1)/( square root of x^2+x)	$f (x) = \frac{- 3 x + 1}{\sqrt{x^{2} + x}}$
48782	Find the Asymptotes	r(x)=(4x-8)/((x-4)(x+1))	$r (x) = \frac{4 x - 8}{(x - 4) (x + 1)}$
48783	Solve the Function Operation	f(x)=3x-10 g(x)=x^2+4x+5 Find: g(f(x))	$f (x) = 3 x - 10$ $g (x) = x^{2} + 4 x + 5$ Find: $g (f (x))$
48784	Solve the Function Operation	f(x)=-x-7 g(x)=3x^2+2x-4 Find: f(g(x))	$f (x) = - x - 7$ $g (x) = 3 x^{2} + 2 x - 4$ Find: $f (g (x))$
48785	Find the Asymptotes	f(x)=(x^3+5x^2+6x)/(3x^2+9x)	$f (x) = \frac{x^{3} + 5 x^{2} + 6 x}{3 x^{2} + 9 x}$
48786	Find the Domain	f(x)=(3x-2)	$f (x) = (3 x - 2)$
48787	Find the Asymptotes	G(x)=(x^4-16)/(2x^2-4x)	$G (x) = \frac{x^{4} - 16}{2 x^{2} - 4 x}$
48788	Find the Slope	(-5,-4) and (-13,-11)	$(- 5, - 4)$ and $(- 13, - 11)$
48789	Find the Slope	(10,0) and (-2,4)	$(10, 0)$ and $(- 2, 4)$
48790	Find the Asymptotes	f(x)=-3(1/2)^x+5	$f (x) = - 3 {(\frac{1}{2})}^{x} + 5$
48791	Find the Asymptotes	(x^2+5x+4)/(2x^2-2)	$\frac{x^{2} + 5 x + 4}{2 x^{2} - 2}$
48792	Find the Slope	Find the slope of the line passing through the points (-7,2) and (9,6)	Find the slope of the line passing through the points $(- 7, 2)$ and $(9, 6)$
48793	Find the Asymptotes	f(x)=x/(x^2+x-2)	$f (x) = \frac{x}{x^{2} + x - 2}$
48794	Find the Asymptotes	f(x)=(10x^3-15x^2+x-1)/(5x^2-2)	$f (x) = \frac{10 x^{3} - 15 x^{2} + x - 1}{5 x^{2} - 2}$
48795	Solve the Function Operation	f(x)=(x^5)/3 ; find f^-1(x)	$f (x) = \frac{x^{5}}{3}$ ; find $f^{- 1} (x)$
48796	Use the Factor Theorem to Determine if k=1 is a Factor	f(x)=2x^3-3x^2-5x+6 , k=1	$f (x) = 2 x^{3} - 3 x^{2} - 5 x + 6$ , $k = 1$
48797	Find the Domain	f(x)=x+ square root of x	$f (x) = x + \sqrt{x}$
48798	Find the Asymptotes	s(x)=(6x-12)/((x-6)(x+1))	$s (x) = \frac{6 x - 12}{(x - 6) (x + 1)}$
48799	Find the GCF	20 and 30	$20$ and $30$
48800	Find the Slope	(3,9) and (1,8)	$(3, 9)$ and $(1, 8)$