Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
137801	Find f(g(x))	f(x)=3x^2-x+2 , g(x)=5x^2-1.7n	$f (x) = 3 x^{2} - x + 2$ , $g (x) = 5 x^{2} - 1.7 n$
137802	Find f(g(x))	f(x)=7-7x , g(x)=-3x+7	$f (x) = 7 - 7 x$ , $g (x) = - 3 x + 7$
137803	Find f(g(x))	f(x)=8x+9 g(x)=2x-5	$f (x) = 8 x + 9$ $g (x) = 2 x - 5$
137804	Find f(g(x))	f(x)=4x-6g(x)=(x+6)/4	$f (x) = 4 x - 6 g (x) = \frac{x + 6}{4}$
137805	Find g(f(x))	f(x)=3x+4 , g(x)=8x^2-6	$f (x) = 3 x + 4$ , $g (x) = 8 x^{2} - 6$
137806	Find g(f(x))	f(x)=2x-3 g(x)=(x-3)/2	$f (x) = 2 x - 3$ $g (x) = \frac{x - 3}{2}$
137807	Find g(f(x))	f(x) = square root of x , g(x)=x+4	$f (x) = \sqrt{x}$ , $g (x) = x + 4$
137808	Find f(g(y))	f(y)=(2y^3-y^2+2y-1)/(y^3-y^2+y-1) , g(y)=(2y^2-3y+1)/(4y^2-4y+1)	$f (y) = \frac{2 y^{3} - y^{2} + 2 y - 1}{y^{3} - y^{2} + y - 1}$ , $g (y) = \frac{2 y^{2} - 3 y + 1}{4 y^{2} - 4 y + 1}$
137809	Find f(h(x))	f(x) = cube root of 9x+4h(x)=(x^3-4)/9	$f (x) = \sqrt[3]{9 x + 4} h (x) = \frac{x^{3} - 4}{9}$
137810	Find q(r(x))	q(x)=x^2+1r(x) = square root of x+6	$q (x) = x^{2} + 1 r (x) = \sqrt{x + 6}$
137811	Find g(h(x))	g(x)=(8x-1)/(x+4)h(x)=3x+10	$g (x) = \frac{8 x - 1}{x + 4} h (x) = 3 x + 10$
137812	Find g(g(x))	g(x)=5x+1g(x)=5x+1	$g (x) = 5 x + 1 g (x) = 5 x + 1$
137813	Find p(f(t))	p(t)=100 , 0e^(0.05t)	$p (t) = 100$ , $0 e^{0.05 t}$
137814	Find g(f(x))	f(x)=x^2-2x g(x)=x-3	$f (x) = x^{2} - 2 x$ $g (x) = x - 3$
137815	Determine if the Relation is a Function	(1,2) , (2,2) , (3,2)	$(1, 2)$ , $(2, 2)$ , $(3, 2)$
137816	Determine if the Relation is a Function	(1,3) , (2,6) , (3,9) , (4,12)	$(1, 3)$ , $(2, 6)$ , $(3, 9)$ , $(4, 12)$
137817	Determine if the Relation is a Function	(1,4) , (2,9) , (3,34) , (-2,-11)	$(1, 4)$ , $(2, 9)$ , $(3, 34)$ , $(- 2, - 11)$
137818	Determine if the Relation is a Function	{(3,5),(-1,7),(3,9)}	${(3, 5), (- 1, 7), (3, 9)}$
137819	Round to the Nearest Whole Number	1130.4	$1130.4$
137820	Round to the Nearest Whole Number	1.778	$1.778$
137821	Round to the Nearest Whole Number	12.5	$12.5$
137822	Round to the Nearest Whole Number	12.56	$12.56$
137823	Solve for a4	a_4=((-1)^(4+1))/(3^4-1)	$a_{4} = \frac{{(- 1)}^{4 + 1}}{3^{4} - 1}$
137824	Solve for a4	a_4=(-1)^(4+3)*4^2	$a_{4} = {(- 1)}^{4 + 3} \cdot 4^{2}$
137825	Solve for a4	a_4=(4^2-2)/(4^2+2)	$a_{4} = \frac{4^{2} - 2}{4^{2} + 2}$
137826	Solve for a3	a_3=2	$a_{3} = 2$
137827	Solve for a3	a_3=(-2)^3	$a_{3} = {(- 2)}^{3}$
137828	Solve for a3	a_3=(3^2-2)/(3^2+2)	$a_{3} = \frac{3^{2} - 2}{3^{2} + 2}$
137829	Solve for a3	a_3=(-6)^3	$a_{3} = {(- 6)}^{3}$
137830	Solve for a2	a_2=5(2)+3	$a_{2} = 5 (2) + 3$
137831	Solve for a2	a_2=6^2	$a_{2} = 6^{2}$
137832	Solve for a9	a_9=1+1/n	$a_{9} = 1 + \frac{1}{n}$
137833	Solve for a5	a_5=2(-1)^5	$a_{5} = 2 {(- 1)}^{5}$
137834	Solve for a4	a_4=6^4	$a_{4} = 6^{4}$
137835	Solve for a4	a_4=2^4	$a_{4} = 2^{4}$
137836	Solve for a1	a_1=(1^2-1)/(1^2+1)	$a_{1} = \frac{1^{2} - 1}{1^{2} + 1}$
137837	Solve for A0	A(t)=A_0e^(-0.0244t)	$A (t) = A_{0} e^{- 0.0244 t}$
137838	Solve for A0	2A_0=A_0e^(kt)	$2 A_{0} = A_{0} e^{k t}$
137839	Solve for a1	a_1=64-7(1-1)	$a_{1} = 64 - 7 (1 - 1)$
137840	Solve for a1	a_1=3n-1	$a_{1} = 3 n - 1$
137841	Solve for a1	a_1=27	$a_{1} = 27$
137842	Solve for a2	a_2=2	$a_{2} = 2$
137843	Solve for a2	a_2=2/(2!)	$a_{2} = \frac{2}{2!}$
137844	Solve for a2	a_2=(2^2-9)/(2^2+9)	$a_{2} = \frac{2^{2} - 9}{2^{2} + 9}$
137845	Solve for a1	a_1=768 , r=0.5	$a_{1} = 768$ , $r = 0.5$
137846	Solve for a1	a_1+1=1+1/a_1	$a_{1 + 1} = 1 + \frac{1}{a_{1}}$
137847	Solve for r2	(5(r_1-r_2))/S=A	$\frac{5 (r_{1} - r_{2})}{S} = A$
137848	Solve for r2	(6(r_1-r_2))/s=A	$\frac{6 (r_{1} - r_{2})}{s} = A$
137849	Solve for r2	(7(r_1-r_2))/S=A	$\frac{7 (r_{1} - r_{2})}{S} = A$
137850	Solve for S4	S_4=3(1-(-2)^4)	$S_{4} = 3 (1 - {(- 2)}^{4})$
137851	Solve for s0	s(t)=1/2gt^2+v_0t+s_0	$s (t) = \frac{1}{2} g t^{2} + v_{0} t + s_{0}$
137852	Solve for n2	Y=((n_1-n_2)m)/8	$Y = \frac{(n_{1} - n_{2}) m}{8}$
137853	Solve for f2	f=(f_1f_2)/(f_1+f_2)	$f = \frac{f_{1} f_{2}}{f_{1} + f_{2}}$
137854	Solve for I	Q=(V-I)/L	$Q = \frac{V - I}{L}$
137855	Solve for I	6.2 = log of I/1	$6.2 = \log (\frac{I}{1})$
137856	Solve for I	I(10)=8400-6500e^(-0.004(10))	$I (10) = 8400 - 6500 e^{- 0.004 (10)}$
137857	Solve for I	I=10/20	$I = \frac{10}{20}$
137858	Solve for I	P=(V-I)/S	$P = \frac{V - I}{S}$
137859	Solve for I	p=(A-I)/L	$p = \frac{A - I}{L}$
137860	Solve for I	P=(A-I)/R	$P = \frac{A - I}{R}$
137861	Solve for x2	(2+x_2)/2=4	$\frac{2 + x_{2}}{2} = 4$
137862	Find Where Increasing/Decreasing	y=x/(x^2-9)	$y = \frac{x}{x^{2} - 9}$
137863	Find Where Increasing/Decreasing	y=3x^3-9x-1	$y = 3 x^{3} - 9 x - 1$
137864	Find Where Increasing/Decreasing	y=8x^3	$y = 8 x^{3}$
137865	Find the Circle Using the Diameter End Points	(-1,1) , (7,9)	$(- 1, 1) (7, 9)$
137866	Solve for y2	B=((y_1-y_2)x)/6	$B = \frac{(y_{1} - y_{2}) x}{6}$
137867	Solve for z1	z_1+z_2	$z_{1} + z_{2}$
137868	Find Where Increasing/Decreasing	y=x^3+2x^2-4x-3	$y = x^{3} + 2 x^{2} - 4 x - 3$
137869	Find Where Increasing/Decreasing	y=x^2-6x	$y = x^{2} - 6 x$
137870	Determine the Possible Number of Real Roots	6x^2+19x+14=0	$6 x^{2} + 19 x + 14 = 0$
137871	Determine the Possible Number of Real Roots	x^2-4x+6=0	$x^{2} - 4 x + 6 = 0$
137872	Determine the Possible Number of Real Roots	x^7-2x^6+3x^2-2x+5=0	$x^{7} - 2 x^{6} + 3 x^{2} - 2 x + 5 = 0$
137873	Find the y-intercept	y=-3x+7	$y = - 3 x + 7$
137874	Find the Sum of the Infinite Geometric Series	3/4 , -1/4 , 1/12	$\frac{3}{4}$ , $- \frac{1}{4}$ , $\frac{1}{12}$
137875	Find the Sum of the Infinite Geometric Series	1 , -1/2 , 1/4 , -1/8	$1$ , $- \frac{1}{2}$ , $\frac{1}{4}$ , $- \frac{1}{8}$
137876	Find the Sum of the Infinite Geometric Series	1/8 , 1/64 , 1/512	$\frac{1}{8}$ , $\frac{1}{64}$ , $\frac{1}{512}$
137877	Find the Sum of the Infinite Geometric Series	1/5 , 1/10 , 1/20 , 1/40	$\frac{1}{5}$ , $\frac{1}{10}$ , $\frac{1}{20}$ , $\frac{1}{40}$
137878	Find the Sum of the Infinite Geometric Series	500 , 100 , 20 , 4	$500$ , $100$ , $20$ , $4$
137879	Find the Exponential Function	(1,-3)	$(1, - 3)$
137880	Find the Exponential Function	(-1,1/9)	$(- 1, \frac{1}{9})$
137881	Find the Sum of the Infinite Geometric Series	48 , 12 , 3	$48$ , $12$ , $3$
137882	Find the Sum of the Infinite Geometric Series	1 , 5 , 25 , 125	$1$ , $5$ , $25$ , $125$
137883	Find the Sum of the Infinite Geometric Series	25 , -5 , 1 , -1/5	$25$ , $- 5$ , $1$ , $- \frac{1}{5}$
137884	Find the Exponential Function	(-6,5)	$(- 6, 5)$
137885	Find the Exponential Function	(2,1/16)	$(2, \frac{1}{16})$
137886	Write as a Set of Linear Factors	f(x)=x^3-7x^2+10x-4	$f (x) = x^{3} - 7 x^{2} + 10 x - 4$
137887	Write as a Set of Linear Factors	f(x)=x^4-5x^2+4	$f (x) = x^{4} - 5 x^{2} + 4$
137888	Write as a Set of Linear Factors	f(x)=x^3+8x^2+18x+12	$f (x) = x^{3} + 8 x^{2} + 18 x + 12$
137889	Write as a Set of Linear Factors	f(x)=x^3+x^2-13x+3	$f (x) = x^{3} + x^{2} - 13 x + 3$
137890	Write as a Set of Linear Factors	f(x)=x^3+4x^2+2x-4	$f (x) = x^{3} + 4 x^{2} + 2 x - 4$
137891	Find the y-intercept	2y-3=0	$2 y - 3 = 0$
137892	Find the y-intercept	2x-3y-4z=-24	$2 x - 3 y - 4 z = - 24$
137893	Find P(dnc) for Independent Events d and c	p(c)=2/5 , p(d)=3/5	$p (c) = \frac{2}{5}$ , $p (d) = \frac{3}{5}$
137894	Find the y-intercept	3x-5=0	$3 x - 5 = 0$
137895	Find the y-intercept	3x+2y=14	$3 x + 2 y = 14$
137896	Find the y-intercept	-3x+5y-2z=60	$- 3 x + 5 y - 2 z = 60$
137897	Identify the Polar Equation	z=4i	$z = 4 i$
137898	Identify the Polar Equation	r^2=4cos(theta)	$r^{2} = 4 \cos (θ)$
137899	Identify the Polar Equation	r=10cos(theta)	$r = 10 \cos (θ)$
137900	Identify the Polar Equation	r=2cos(X)	$r = 2 \cos (X)$