Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
139401	Find h(f(x))	f(x)=(3x-5)^3h(x)=2 cube root of x+8	$f (x) = {(3 x - 5)}^{3} h (x) = 2 \sqrt[3]{x} + 8$
139402	Find g(f(x))	f(x)=x-4g(x)=x-4	$f (x) = x - 4 g (x) = x - 4$
139403	Determine if the Relation is a Function	(0,0) , (1,4) , (2,16) , (3,36) , (4,64)	$(0, 0)$ , $(1, 4)$ , $(2, 16)$ , $(3, 36)$ , $(4, 64)$
139404	Determine if the Relation is a Function	(0,1) , (1,-2) , (2,-3) , (3,-2) , (4,1)	$(0, 1)$ , $(1, - 2)$ , $(2, - 3)$ , $(3, - 2)$ , $(4, 1)$
139405	Find q(r(x))	q(x)=x^2+3 r(x) = square root of x+2	$q (x) = x^{2} + 3$ $r (x) = \sqrt{x + 2}$
139406	Find p(q(x))	p(x)=x+4q(x)=x^2	$p (x) = x + 4 q (x) = x^{2}$
139407	Find f(h(x))	f(x)=x^3-6 h(x) = cube root of 2x-15	$f (x) = x^{3} - 6$ $h (x) = \sqrt[3]{2 x - 15}$
139408	Find g(f(x))	f(x)=2/(x-5) , g(x)=2/(7x)	$f (x) = \frac{2}{x - 5}$ , $g (x) = \frac{2}{7 x}$
139409	Find f(g(x))	f(x)=x-4g(x)=x-4	$f (x) = x - 4 g (x) = x - 4$
139410	Find f(g(x))	f(x)=x+5 , g(x)=9/(x^2-25)	$f (x) = x + 5$ , $g (x) = \frac{9}{x^{2} - 25}$
139411	Find g(f(x))	f(x)=(x-8)/x , g(x)=x^2+6	$f (x) = \frac{x - 8}{x}$ , $g (x) = x^{2} + 6$
139412	Find g(f(x))	f(x)=1-xg(x)=-3x^2-x-1	$f (x) = 1 - x g (x) = - 3 x^{2} - x - 1$
139413	Find g(f(x))	f(x)=(x-10)/9 , g(x)=9x+10	$f (x) = \frac{x - 10}{9}$ , $g (x) = 9 x + 10$
139414	Find g(f(x))	f(x)=(x-3)/10 , g(x)=10x+3	$f (x) = \frac{x - 3}{10}$ , $g (x) = 10 x + 3$
139415	Find f(g(x))	f(x)=5x-2 , g(x)=8x^2-8	$f (x) = 5 x - 2$ , $g (x) = 8 x^{2} - 8$
139416	Find f(g(x))	f(x)=4x-8 , g(x)=6x-4	$f (x) = 4 x - 8$ , $g (x) = 6 x - 4$
139417	Find f(g(x))	f(x)=8x+15 , g(x)=5x-1	$f (x) = 8 x + 15$ , $g (x) = 5 x - 1$
139418	Find f(g(x))	f(x)=4x+6 , g(x)=2x-1	$f (x) = 4 x + 6$ , $g (x) = 2 x - 1$
139419	Find f(g(x))	f(x)=4x+10 , g(x)=5x-1	$f (x) = 4 x + 10$ , $g (x) = 5 x - 1$
139420	Find f(g(x))	f(x)=4x+15 , g(x)=3x-1	$f (x) = 4 x + 15$ , $g (x) = 3 x - 1$
139421	Find f(g(x))	f(x)=x^2+2xg(x)=x-9	$f (x) = x^{2} + 2 x g (x) = x - 9$
139422	Find f(f(x))	f(x)=2x-1	$f (x) = 2 x - 1$
139423	Find f(f(x))	f(x)=3x-4	$f (x) = 3 x - 4$
139424	Find the Derivative - d/dy	natural log of 2x^2-3y^2+tan( square root of x^2+y^2)+x/(y^2)	$\ln (2 x^{2} - 3 y^{2}) + \tan (\sqrt{x^{2} + y^{2}}) + \frac{x}{y^{2}}$
139425	Find the Derivative - d/dy	1+sin(y)	$1 + \sin (y)$
139426	Find the Derivative - d/dy	e^(10xy)	$e^{10 x y}$
139427	Find the Derivative - d/dy	f(yes)^-1	$f {(y e s)}^{- 1}$
139428	Find the Derivative - d/dy	5e^(5xy)x	$5 e^{5 x y} x$
139429	Find f(g(x))	f(x)=2x^2+5 , g(x)=3x-5	$f (x) = 2 x^{2} + 5$ , $g (x) = 3 x - 5$
139430	Find f(g(x))	f(x)=27 cube root of xg(x)=(x^3)/27	$f (x) = 27 \sqrt[3]{x} g (x) = \frac{x^{3}}{27}$
139431	Find f(g(x))	f(x)=2x^3-5x^2g(x)=2x-1	$f (x) = 2 x^{3} - 5 x^{2} g (x) = 2 x - 1$
139432	Find f(g(x))	f(x)=2x-8 , g(x)=x/2+4	$f (x) = 2 x - 8$ , $g (x) = \frac{x}{2} + 4$
139433	Find f(g(x))	f(x) = square root of 5x , g(x)=1/x	$f (x) = \sqrt{5 x}$ , $g (x) = \frac{1}{x}$
139434	Find f(g(x))	f(x) = square root of x^2+1 g(x)=3x-2	$f (x) = \sqrt{x^{2} + 1}$ $g (x) = 3 x - 2$
139435	Find f(g(x))	f(x)=(x+1)/2g(x)=2x-1	$f (x) = \frac{x + 1}{2} g (x) = 2 x - 1$
139436	Find f(g(x))	f(x) = square root of 2x , g(x) = square root of 32x- square root of 50	$f (x) = \sqrt{2 x}$ , $g (x) = \sqrt{32 x} - \sqrt{50}$
139437	Find the Derivative - d/dt	\|5-6t\|	$\| 5 - 6 t \|$
139438	Find the Derivative - d/dt	e^(-18t)	$e^{- 18 t}$
139439	Find the Derivative - d/dt	2te^(2t)	$2 t e^{2 t}$
139440	Find the Derivative - d/dt	6^(t^2-2t)	$6^{t^{2} - 2 t}$
139441	Find the Derivative - d/dt	50- square root of t	$50 - \sqrt{t}$
139442	Find the Derivative - d/dt	400e^(-0.0244t)	$400 e^{- 0.0244 t}$
139443	Find the Derivative - d/dt	t+t^-1	$t + t^{- 1}$
139444	Find the Derivative - d/du	cos(2u)	$\cos (2 u)$
139445	Find the Derivative - d/du	tan(u+v)	$\tan (u + v)$
139446	Find the Derivative - d/dw	0.1091w^0.425h^0.725	$0.1091 w^{0.425} h^{0.725}$
139447	Find the Derivative - d/dr	3pir^2	$3 π r^{2}$
139448	Find the Derivative - d/dt	(36t)/(t^2+324)	$\frac{36 t}{t^{2} + 324}$
139449	Find the Derivative - d/dc	square root of c	$\sqrt{c}$
139450	Find the Derivative - d/dm	2.65m^0.66+(3.5m^0.75)/v	$2.65 m^{0.66} + \frac{3.5 m^{0.75}}{v}$
139451	Find the Derivative - d/dp	p(4)	$p (4)$
139452	Find the Derivative - d/dP	P(1)	$P (1)$
139453	Find Where Undefined/Discontinuous	2/(3x)+1/4=25/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{25}{6 x} - \frac{1}{3}$
139454	Find Where Undefined/Discontinuous	1/(x-4)-5/(x+7)=11/(x^2+3x-28)	$\frac{1}{x - 4} - \frac{5}{x + 7} = \frac{11}{x^{2} + 3 x - 28}$
139455	Find Where Undefined/Discontinuous	2/x=13/(8x)+3	$\frac{2}{x} = \frac{13}{8 x} + 3$
139456	Round to the Nearest Whole Number	9.6	$9.6$
139457	Round to the Nearest Whole Number	9.68	$9.68$
139458	Round to the Nearest Whole Number	99.59	$99.59$
139459	Round to the Nearest Whole Number	75.36	$75.36$
139460	Round to the Nearest Whole Number	791.28	$791.28$
139461	Round to the Nearest Whole Number	66.6	$66.6$
139462	Round to the Nearest Whole Number	8.7	$8.7$
139463	Round to the Nearest Whole Number	8.75	$8.75$
139464	Round to the Nearest Whole Number	5.4	$5.4$
139465	Round to the Nearest Whole Number	5.5	$5.5$
139466	Round to the Nearest Whole Number	4.2	$4.2$
139467	Round to the Nearest Whole Number	4.8	$4.8$
139468	Round to the Nearest Whole Number	28.26	$28.26$
139469	Round to the Nearest Whole Number	1519.76	$1519.76$
139470	Round to the Nearest Whole Number	1695.6	$1695.6$
139471	Round to the Nearest Whole Number	15.7	$15.7$
139472	Round to the Nearest Whole Number	14.4	$14.4$
139473	Find Where Undefined/Discontinuous	log base 3 of 18x^3- log base 3 of 2x = log base 3 of 144	$\log_{3} (18 x^{3}) - \log_{3} (2 x) = \log_{3} (144)$
139474	Find Where Undefined/Discontinuous	y=((x-2)(x+6)(x+7))/((x-9)(x-6))	$y = \frac{(x - 2) (x + 6) (x + 7)}{(x - 9) (x - 6)}$
139475	Find Where Undefined/Discontinuous	y=(4x)/(x^3-9x)	$y = \frac{4 x}{x^{3} - 9 x}$
139476	Find Where Undefined/Discontinuous	y=(4x^2-100)/(2x^2+x-15)	$y = \frac{4 x^{2} - 100}{2 x^{2} + x - 15}$
139477	Find Where Undefined/Discontinuous	y=(x-9)/(x^2+2x-35)	$y = \frac{x - 9}{x^{2} + 2 x - 35}$
139478	Graph the Line Segment	(-3,1) , (0,3) , (3,5)	$(- 3, 1) (0, 3) (3, 5)$
139479	Graph the Line Segment	(3,11) , (-2,1)	$(3, 11) (- 2, 1)$
139480	Convert to Logarithmic Form	e^(2x)-8e^x+7=0	$e^{2 x} - 8 e^{x} + 7 = 0$
139481	Solve Using a Matrix by Row Operations	7x-y-6z=82x+y-z=55x+y-4z=9	$7 x - y - 6 z = 82 x + y - z = 55 x + y - 4 z = 9$
139482	Solve Using a Matrix by Row Operations	-x+y+z=-1-x+5y-19z=-215x-4y-10z=0	$- x + y + z = - 1 - x + 5 y - 19 z = - 215 x - 4 y - 10 z = 0$
139483	Find the Sum of the Functions	f(x)=x^3-xg(x)=x^3+2x^2-10	$f (x) = x^{3} - x g (x) = x^{3} + 2 x^{2} - 10$
139484	Find the Sum of the Series	1+3+5+7+9	$1 + 3 + 5 + 7 + 9$
139485	Find the Sum of the Series	1+1/9+1/81+1/729	$1 + \frac{1}{9} + \frac{1}{81} + \frac{1}{729}$
139486	Find the Sum of the Series	-2+4-8+16-32	$- 2 + 4 - 8 + 16 - 32$
139487	Find the Sum of the Series	2 , 500 , 0(1+1)^3	$2$ , $500$ , $0 {(1 + 1)}^{3}$
139488	Find the Upper and Lower Bounds	f(x)=x^4+x^3-3x-3	$f (x) = x^{4} + x^{3} - 3 x - 3$
139489	Find the Upper and Lower Bounds	f(x)=x^3-x^2-7x-2	$f (x) = x^{3} - x^{2} - 7 x - 2$
139490	Find the Upper and Lower Bounds	s(x)=2x^4+7x^3+x^2-7x-3	$s (x) = 2 x^{4} + 7 x^{3} + x^{2} - 7 x - 3$
139491	Find the Upper and Lower Bounds	h(x)=x^4-7x^3+8x^2+28x-48	$h (x) = x^{4} - 7 x^{3} + 8 x^{2} + 28 x - 48$
139492	Find the Sum of the Series	7.6+6.3+5+3.7+2.4+1.1+(-0.2)+(-1.5)	$7.6 + 6.3 + 5 + 3.7 + 2.4 + 1.1 + (- 0.2) + (- 1.5)$
139493	Find the Sum of the Series	4+12+36+108	$4 + 12 + 36 + 108$
139494	Find the Sum of the Series	3 , -6 , 12 , -24	$3$ , $- 6$ , $12$ , $- 24$
139495	Find the Sum of the Series	3+6+12+24	$3 + 6 + 12 + 24$
139496	Find the Sum of the Series	3+6+9+12	$3 + 6 + 9 + 12$
139497	Find the Sum of the Series	3+9+15+21+27	$3 + 9 + 15 + 21 + 27$
139498	Find the Asymptotes	16x^2-4y^2=64	$16 x^{2} - 4 y^{2} = 64$
139499	Determine the Possible Number of Real Roots	x^2-5x+40=0	$x^{2} - 5 x + 40 = 0$
139500	Determine the Possible Number of Real Roots	x^2-5x+8=0	$x^{2} - 5 x + 8 = 0$