Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
139401	Find the Union of the Sets	{2,4} union {1,3,5}	${2, 4} \cup {1, 3, 5}$
139402	Determine if the Relation is a Function	{(4,6),(4,7),(4,8)}	${(4, 6), (4, 7), (4, 8)}$
139403	Find the Union of the Sets	A={2,3,5,8}B={3,5,7}C={2,4,8}	$A = {2, 3, 5, 8} B = {3, 5, 7} C = {2, 4, 8}$
139404	Determine if the Relation is a Function	{(1,3),(1,4),(1,5)}	${(1, 3), (1, 4), (1, 5)}$
139405	Determine if the Relation is a Function	{(1,2),(3,2),(5,7)}	${(1, 2), (3, 2), (5, 7)}$
139406	Determine if the Relation is a Function	{(0,0),(5,10),(-3,3)}	${(0, 0), (5, 10), (- 3, 3)}$
139407	Determine if the Relation is a Function	{(0,0),(1,2),(2,4),(3,8)}	${(0, 0), (1, 2), (2, 4), (3, 8)}$
139408	Determine if the Relation is a Function	{(2,8),(3,6),(2,4),(0,2)}	${(2, 8), (3, 6), (2, 4), (0, 2)}$
139409	Determine if the Relation is a Function	(-8,-4) , (-2,0) , (1,3) , (-2,6)	$(- 8, - 4)$ , $(- 2, 0)$ , $(1, 3)$ , $(- 2, 6)$
139410	Determine if the Relation is a Function	(-10,12) , (-10,-4) , (-3,-20)	$(- 10, 12)$ , $(- 10, - 4)$ , $(- 3, - 20)$
139411	Determine if the Relation is a Function	(-4,3) , (4,3)	$(- 4, 3)$ , $(4, 3)$
139412	Find g(f(x))	f(x)=6x-4 g(x)=3x^2-2x-10	$f (x) = 6 x - 4$ $g (x) = 3 x^{2} - 2 x - 10$
139413	Find g(f(x))	f(x)=-5x+9 , g(x)=6x+4	$f (x) = - 5 x + 9$ , $g (x) = 6 x + 4$
139414	Find h(f(x))	f(x)=8x^3+5h(x) = cube root of x-5	$f (x) = 8 x^{3} + 5 h (x) = \sqrt[3]{x - 5}$
139415	Find K(H(x))	K(x)=x-3 , H(x)=x^2	$K (x) = x - 3$ , $H (x) = x^{2}$
139416	Find h(f(x))	f(x)=(3x-5)^3h(x)=2 cube root of x+8	$f (x) = {(3 x - 5)}^{3} h (x) = 2 \sqrt[3]{x} + 8$
139417	Find g(f(x))	f(x)=x-4g(x)=x-4	$f (x) = x - 4 g (x) = x - 4$
139418	Determine if the Relation is a Function	(0,0) , (1,4) , (2,16) , (3,36) , (4,64)	$(0, 0)$ , $(1, 4)$ , $(2, 16)$ , $(3, 36)$ , $(4, 64)$
139419	Determine if the Relation is a Function	(0,1) , (1,-2) , (2,-3) , (3,-2) , (4,1)	$(0, 1)$ , $(1, - 2)$ , $(2, - 3)$ , $(3, - 2)$ , $(4, 1)$
139420	Find q(r(x))	q(x)=x^2+3 r(x) = square root of x+2	$q (x) = x^{2} + 3$ $r (x) = \sqrt{x + 2}$
139421	Find p(q(x))	p(x)=x+4q(x)=x^2	$p (x) = x + 4 q (x) = x^{2}$
139422	Find f(h(x))	f(x)=x^3-6 h(x) = cube root of 2x-15	$f (x) = x^{3} - 6$ $h (x) = \sqrt[3]{2 x - 15}$
139423	Find g(f(x))	f(x)=2/(x-5) , g(x)=2/(7x)	$f (x) = \frac{2}{x - 5}$ , $g (x) = \frac{2}{7 x}$
139424	Find f(g(x))	f(x)=x-4g(x)=x-4	$f (x) = x - 4 g (x) = x - 4$
139425	Find f(g(x))	f(x)=x+5 , g(x)=9/(x^2-25)	$f (x) = x + 5$ , $g (x) = \frac{9}{x^{2} - 25}$
139426	Find g(f(x))	f(x)=(x-8)/x , g(x)=x^2+6	$f (x) = \frac{x - 8}{x}$ , $g (x) = x^{2} + 6$
139427	Find g(f(x))	f(x)=1-xg(x)=-3x^2-x-1	$f (x) = 1 - x g (x) = - 3 x^{2} - x - 1$
139428	Find g(f(x))	f(x)=(x-10)/9 , g(x)=9x+10	$f (x) = \frac{x - 10}{9}$ , $g (x) = 9 x + 10$
139429	Find g(f(x))	f(x)=(x-3)/10 , g(x)=10x+3	$f (x) = \frac{x - 3}{10}$ , $g (x) = 10 x + 3$
139430	Find f(g(x))	f(x)=5x-2 , g(x)=8x^2-8	$f (x) = 5 x - 2$ , $g (x) = 8 x^{2} - 8$
139431	Find f(g(x))	f(x)=4x-8 , g(x)=6x-4	$f (x) = 4 x - 8$ , $g (x) = 6 x - 4$
139432	Find f(g(x))	f(x)=8x+15 , g(x)=5x-1	$f (x) = 8 x + 15$ , $g (x) = 5 x - 1$
139433	Find f(g(x))	f(x)=4x+6 , g(x)=2x-1	$f (x) = 4 x + 6$ , $g (x) = 2 x - 1$
139434	Find f(g(x))	f(x)=4x+10 , g(x)=5x-1	$f (x) = 4 x + 10$ , $g (x) = 5 x - 1$
139435	Find f(g(x))	f(x)=4x+15 , g(x)=3x-1	$f (x) = 4 x + 15$ , $g (x) = 3 x - 1$
139436	Find f(g(x))	f(x)=x^2+2xg(x)=x-9	$f (x) = x^{2} + 2 x g (x) = x - 9$
139437	Find f(f(x))	f(x)=2x-1	$f (x) = 2 x - 1$
139438	Find f(f(x))	f(x)=3x-4	$f (x) = 3 x - 4$
139439	Find the Derivative - d/dy	natural log of 2x^2-3y^2+tan( square root of x^2+y^2)+x/(y^2)	$\ln (2 x^{2} - 3 y^{2}) + \tan (\sqrt{x^{2} + y^{2}}) + \frac{x}{y^{2}}$
139440	Find the Derivative - d/dy	1+sin(y)	$1 + \sin (y)$
139441	Find the Derivative - d/dy	e^(10xy)	$e^{10 x y}$
139442	Find the Derivative - d/dy	f(yes)^-1	$f {(y e s)}^{- 1}$
139443	Find the Derivative - d/dy	5e^(5xy)x	$5 e^{5 x y} x$
139444	Find f(g(x))	f(x)=2x^2+5 , g(x)=3x-5	$f (x) = 2 x^{2} + 5$ , $g (x) = 3 x - 5$
139445	Find f(g(x))	f(x)=27 cube root of xg(x)=(x^3)/27	$f (x) = 27 \sqrt[3]{x} g (x) = \frac{x^{3}}{27}$
139446	Find f(g(x))	f(x)=2x^3-5x^2g(x)=2x-1	$f (x) = 2 x^{3} - 5 x^{2} g (x) = 2 x - 1$
139447	Find f(g(x))	f(x)=2x-8 , g(x)=x/2+4	$f (x) = 2 x - 8$ , $g (x) = \frac{x}{2} + 4$
139448	Find f(g(x))	f(x) = square root of 5x , g(x)=1/x	$f (x) = \sqrt{5 x}$ , $g (x) = \frac{1}{x}$
139449	Find f(g(x))	f(x) = square root of x^2+1 g(x)=3x-2	$f (x) = \sqrt{x^{2} + 1}$ $g (x) = 3 x - 2$
139450	Find f(g(x))	f(x)=(x+1)/2g(x)=2x-1	$f (x) = \frac{x + 1}{2} g (x) = 2 x - 1$
139451	Find f(g(x))	f(x) = square root of 2x , g(x) = square root of 32x- square root of 50	$f (x) = \sqrt{2 x}$ , $g (x) = \sqrt{32 x} - \sqrt{50}$
139452	Find the Derivative - d/dt	\|5-6t\|	$\| 5 - 6 t \|$
139453	Find the Derivative - d/dt	e^(-18t)	$e^{- 18 t}$
139454	Find the Derivative - d/dt	2te^(2t)	$2 t e^{2 t}$
139455	Find the Derivative - d/dt	6^(t^2-2t)	$6^{t^{2} - 2 t}$
139456	Find the Derivative - d/dt	50- square root of t	$50 - \sqrt{t}$
139457	Find the Derivative - d/dt	400e^(-0.0244t)	$400 e^{- 0.0244 t}$
139458	Find the Derivative - d/dt	t+t^-1	$t + t^{- 1}$
139459	Find the Derivative - d/du	cos(2u)	$\cos (2 u)$
139460	Find the Derivative - d/du	tan(u+v)	$\tan (u + v)$
139461	Find the Derivative - d/dw	0.1091w^0.425h^0.725	$0.1091 w^{0.425} h^{0.725}$
139462	Find the Derivative - d/dr	3pir^2	$3 π r^{2}$
139463	Find the Derivative - d/dt	(36t)/(t^2+324)	$\frac{36 t}{t^{2} + 324}$
139464	Find the Derivative - d/dc	square root of c	$\sqrt{c}$
139465	Find the Derivative - d/dm	2.65m^0.66+(3.5m^0.75)/v	$2.65 m^{0.66} + \frac{3.5 m^{0.75}}{v}$
139466	Find the Derivative - d/dp	p(4)	$p (4)$
139467	Find the Derivative - d/dP	P(1)	$P (1)$
139468	Find Where Undefined/Discontinuous	2/(3x)+1/4=25/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{25}{6 x} - \frac{1}{3}$
139469	Find Where Undefined/Discontinuous	1/(x-4)-5/(x+7)=11/(x^2+3x-28)	$\frac{1}{x - 4} - \frac{5}{x + 7} = \frac{11}{x^{2} + 3 x - 28}$
139470	Find Where Undefined/Discontinuous	2/x=13/(8x)+3	$\frac{2}{x} = \frac{13}{8 x} + 3$
139471	Round to the Nearest Whole Number	9.6	$9.6$
139472	Round to the Nearest Whole Number	9.68	$9.68$
139473	Round to the Nearest Whole Number	99.59	$99.59$
139474	Round to the Nearest Whole Number	75.36	$75.36$
139475	Round to the Nearest Whole Number	791.28	$791.28$
139476	Round to the Nearest Whole Number	66.6	$66.6$
139477	Round to the Nearest Whole Number	8.7	$8.7$
139478	Round to the Nearest Whole Number	8.75	$8.75$
139479	Round to the Nearest Whole Number	5.4	$5.4$
139480	Round to the Nearest Whole Number	5.5	$5.5$
139481	Round to the Nearest Whole Number	4.2	$4.2$
139482	Round to the Nearest Whole Number	4.8	$4.8$
139483	Round to the Nearest Whole Number	28.26	$28.26$
139484	Round to the Nearest Whole Number	1519.76	$1519.76$
139485	Round to the Nearest Whole Number	1695.6	$1695.6$
139486	Round to the Nearest Whole Number	15.7	$15.7$
139487	Round to the Nearest Whole Number	14.4	$14.4$
139488	Find Where Undefined/Discontinuous	log base 3 of 18x^3- log base 3 of 2x = log base 3 of 144	$\log_{3} (18 x^{3}) - \log_{3} (2 x) = \log_{3} (144)$
139489	Find Where Undefined/Discontinuous	y=((x-2)(x+6)(x+7))/((x-9)(x-6))	$y = \frac{(x - 2) (x + 6) (x + 7)}{(x - 9) (x - 6)}$
139490	Find Where Undefined/Discontinuous	y=(4x)/(x^3-9x)	$y = \frac{4 x}{x^{3} - 9 x}$
139491	Find Where Undefined/Discontinuous	y=(4x^2-100)/(2x^2+x-15)	$y = \frac{4 x^{2} - 100}{2 x^{2} + x - 15}$
139492	Find Where Undefined/Discontinuous	y=(x-9)/(x^2+2x-35)	$y = \frac{x - 9}{x^{2} + 2 x - 35}$
139493	Graph the Line Segment	(-3,1) , (0,3) , (3,5)	$(- 3, 1) (0, 3) (3, 5)$
139494	Graph the Line Segment	(3,11) , (-2,1)	$(3, 11) (- 2, 1)$
139495	Convert to Logarithmic Form	e^(2x)-8e^x+7=0	$e^{2 x} - 8 e^{x} + 7 = 0$
139496	Solve Using a Matrix by Row Operations	7x-y-6z=82x+y-z=55x+y-4z=9	$7 x - y - 6 z = 82 x + y - z = 55 x + y - 4 z = 9$
139497	Solve Using a Matrix by Row Operations	-x+y+z=-1-x+5y-19z=-215x-4y-10z=0	$- x + y + z = - 1 - x + 5 y - 19 z = - 215 x - 4 y - 10 z = 0$
139498	Find the Sum of the Functions	f(x)=x^3-xg(x)=x^3+2x^2-10	$f (x) = x^{3} - x g (x) = x^{3} + 2 x^{2} - 10$
139499	Find the Sum of the Series	1+3+5+7+9	$1 + 3 + 5 + 7 + 9$
139500	Find the Sum of the Series	1+1/9+1/81+1/729	$1 + \frac{1}{9} + \frac{1}{81} + \frac{1}{729}$