Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10001	Find the Domain of the Sum of the Functions	f(x)=2x-2 , g(x)=4x-2	$f (x) = 2 x - 2$ , $g (x) = 4 x - 2$
10002	Find the Domain of the Sum of the Functions	f(x)=6x+2 , g(x)=x+9	$f (x) = 6 x + 2$ , $g (x) = x + 9$
10003	Find the Domain of the Sum of the Functions	p(x)=-x , q(x)=2x^2+1	$p (x) = - x$ , $q (x) = 2 x^{2} + 1$
10004	Find the Domain of the Sum of the Functions	f(x)=x-3 , g(x)=1/x	$f (x) = x - 3$ , $g (x) = \frac{1}{x}$
10005	Find the Domain of the Difference of the Two Functions	f(x)=4x , g(x)=3x+1	$f (x) = 4 x$ , $g (x) = 3 x + 1$
10006	Find the Domain of the Difference of the Two Functions	s(x)=4x-3 , t(x)=x-1	$s (x) = 4 x - 3$ , $t (x) = x - 1$
10007	Find the Domain of the Difference of the Two Functions	f(x)=3x+1 , g(x)=3x-2	$f (x) = 3 x + 1$ , $g (x) = 3 x - 2$
10008	Find the Domain of the Product of the Functions	C(x)=27000+55x+0.2x^2 , R(x)=445x-0.8x^2	$C (x) = 27000 + 55 x + 0.2 x^{2}$ , $R (x) = 445 x - 0.8 x^{2}$
10009	Find the Domain of the Product of the Functions	c(x)=9500+23x , r(x)=43x	$c (x) = 9500 + 23 x$ , $r (x) = 43 x$
10010	Find the Domain of the Product of the Functions	f(x)=x/(x-7) , g(x)=-1/x	$f (x) = \frac{x}{x - 7}$ , $g (x) = - \frac{1}{x}$
10011	Find the Domain of the Product of the Functions	f(x)=-x^2 , g(x)=4x-1	$f (x) = - x^{2}$ , $g (x) = 4 x - 1$
10012	Find the Domain of the Product of the Functions	S(p)=9p+12 , D(p)=280-9p	$S (p) = 9 p + 12$ , $D (p) = 280 - 9 p$
10013	Find the Domain of the Quotient of the Two Functions	f(x)=7/(x-8) , g(x)=5/x	$f (x) = \frac{7}{x - 8}$ , $g (x) = \frac{5}{x}$
10014	Find the Domain of the Quotient of the Two Functions	f(x) = square root of x , g(x) = square root of 4-x^2	$f (x) = \sqrt{x}$ , $g (x) = \sqrt{4 - x^{2}}$
10015	Find the Domain of the Quotient of the Two Functions	f(x)=-1 , g(x)=2x+1	$f (x) = - 1$ , $g (x) = 2 x + 1$
10016	Find the Domain of the Quotient of the Two Functions	f(x)=18-3x , g(x)=6-x/3	$f (x) = 18 - 3 x$ , $g (x) = 6 - \frac{x}{3}$
10017	Find the Domain of the Quotient of the Two Functions	f(x)=2x+2 , h(x)=2x	$f (x) = 2 x + 2$ , $h (x) = 2 x$
10018	Find the Domain of the Quotient of the Two Functions	f(x)=3x^2 , g(x)=x+5	$f (x) = 3 x^{2}$ , $g (x) = x + 5$
10019	Find the Domain of the Quotient of the Two Functions	f(x)=3x+30 , g(x)=x^2+20	$f (x) = 3 x + 30$ , $g (x) = x^{2} + 20$
10020	Find the Domain of the Quotient of the Two Functions	f(x)=4x , g(x)=3x+1	$f (x) = 4 x$ , $g (x) = 3 x + 1$
10021	Find the Domain of the Quotient of the Two Functions	f(x)=-6x-1 , g(x)=4x^2	$f (x) = - 6 x - 1$ , $g (x) = 4 x^{2}$
10022	Find the Domain of the Quotient of the Two Functions	f(x)=x , g(x)=x+3	$f (x) = x$ , $g (x) = x + 3$
10023	Find the Domain of the Quotient of the Two Functions	P(x)=x^4-12x^2-67 , d(x)=x+4	$P (x) = x^{4} - 12 x^{2} - 67$ , $d (x) = x + 4$
10024	Find the Domain of the Quotient of the Two Functions	r(x)=400x , c(x)=x^2-100x+3000	$r (x) = 400 x$ , $c (x) = x^{2} - 100 x + 3000$
10025	Graph	f(x)=2x+1/(x^2+1)	$f (x) = 2 x + \frac{1}{x^{2} + 1}$
10026	Find the Domain and Range	(x+3/4)^2+(y-1/2)^2=25/16	${(x + \frac{3}{4})}^{2} + {(y - \frac{1}{2})}^{2} = \frac{25}{16}$
10027	Find the Domain and Range	((y-8)^2)/36-((x-3)^2)/64=1	$\frac{{(y - 8)}^{2}}{36} - \frac{{(x - 3)}^{2}}{64} = 1$
10028	Find the Domain and Range	(x^2)/225+(y^2)/625=1	$\frac{x^{2}}{225} + \frac{y^{2}}{625} = 1$
10029	Find the Domain and Range	(x^2)/4-(y^2)/9=1	$\frac{x^{2}}{4} - \frac{y^{2}}{9} = 1$
10030	Find the Domain and Range	(x^2)/48+(y^2)/64=1	$\frac{x^{2}}{48} + \frac{y^{2}}{64} = 1$
10031	Find the Domain and Range	x^2+y^2+4x-4y-73=0	$x^{2} + y^{2} + 4 x - 4 y - 73 = 0$
10032	Find the Domain and Range	-2	$- 2$
10033	Find the Domain and Range	2.5(10)	$2.5 (10)$
10034	Find the Domain and Range	3 2/3	$3 \frac{2}{3}$
10035	Find the Domain and Range	3x-2y=-15	$3 x - 2 y = - 15$
10036	Find the Domain and Range	f(t)=e^(t^2)	$f (t) = e^{t^{2}}$
10037	Find the Domain and Range	f(x)=(x-1)/(x^4-8x)	$f (x) = \frac{x - 1}{x^{4} - 8 x}$
10038	Find the Domain and Range	f(x)=(10^(2x))/4	$f (x) = \frac{10^{2 x}}{4}$
10039	Find the Domain and Range	f(x)=( square root of x+2)/(x^2-2x-8)	$f (x) = \frac{\sqrt{x + 2}}{x^{2} - 2 x - 8}$
10040	Find the Domain and Range	f(x)=( square root of x+2)/(x^2-5x-14)	$f (x) = \frac{\sqrt{x + 2}}{x^{2} - 5 x - 14}$
10041	Find the Domain and Range	f(x)=( square root of x+6)/(x^2+2x-15)	$f (x) = \frac{\sqrt{x + 6}}{x^{2} + 2 x - 15}$
10042	Find the Domain and Range	f(x)=(x^2-9)/(x-5)	$f (x) = \frac{x^{2} - 9}{x - 5}$
10043	Find the Domain and Range	f(x)=\|x-3\|+1	$f (x) = \| x - 3 \| + 1$
10044	Find the Domain and Range	f(x)=\|x-5\|-1	$f (x) = \| x - 5 \| - 1$
10045	Find the Domain and Range	f(x)=1.2/(2.3x-5.4)	$f (x) = \frac{1.2}{2.3 x - 5.4}$
10046	Find the Domain and Range	f(x)=1/3x^3+8/3	$f (x) = \frac{1}{3} x^{3} + \frac{8}{3}$
10047	Find the Domain and Range	f(x)=1/5*tan(1/4x)+2	$f (x) = \frac{1}{5} \cdot \tan (\frac{1}{4} x) + 2$
10048	Find the Domain and Range	f(x)=2^(-x)+6	$f (x) = 2^{- x} + 6$
10049	Find the Domain and Range	f(x)=3/(\|8x-5\|)	$f (x) = \frac{3}{\| 8 x - 5 \|}$
10050	Find the Domain and Range	f(x)=(3x+1)/(2x-5)	$f (x) = \frac{3 x + 1}{2 x - 5}$
10051	Find the Domain and Range	f(x)=4/(2x-4)	$f (x) = \frac{4}{2 x - 4}$
10052	Find the Domain and Range	f(x)=4/(x+9)	$f (x) = \frac{4}{x + 9}$
10053	Find the Domain and Range	f(x)=4/(x-5)	$f (x) = \frac{4}{x - 5}$
10054	Find the Domain and Range	f(x)=(4x)/(3x-9)	$f (x) = \frac{4 x}{3 x - 9}$
10055	Find the Domain and Range	f(x)=(4x)/(7-x)	$f (x) = \frac{4 x}{7 - x}$
10056	Find the Domain and Range	f(x)=(4x-2)/(3x-5)	$f (x) = \frac{4 x - 2}{3 x - 5}$
10057	Find the Domain and Range	f(x)=(5x^2-9x-9)/(8x^2-2x+8)	$f (x) = \frac{5 x^{2} - 9 x - 9}{8 x^{2} - 2 x + 8}$
10058	Find the Domain and Range	f(x)=(8+7x)/(x^3-5x^2+4x)	$f (x) = \frac{8 + 7 x}{x^{3} - 5 x^{2} + 4 x}$
10059	Find the Domain and Range	f(x) = log of 3x-4	$f (x) = \log (3 x) - 4$
10060	Find the Domain and Range	f(x) = log base 2 of 3x-5	$f (x) = \log_{2} (3 x - 5)$
10061	Find the Domain	(1+i)^n+(1-i)^n	${(1 + i)}^{n} + {(1 - i)}^{n}$
10062	Find the Domain and Range	f(x) = square root of 6-7x	$f (x) = \sqrt{6 - 7 x}$
10063	Find the Domain and Range	f(x)=-x^2+6x-13	$f (x) = - x^{2} + 6 x - 13$
10064	Find the Domain and Range	f(x)=-x^2+8x+7	$f (x) = - x^{2} + 8 x + 7$
10065	Find the Domain and Range	f(x)=x^2-4x+6	$f (x) = x^{2} - 4 x + 6$
10066	Find the Domain and Range	f(x)=(x+2)/(x^2-16)	$f (x) = \frac{x + 2}{x^{2} - 16}$
10067	Find the Domain and Range	f(x)=(x+6)/(x^2-49)	$f (x) = \frac{x + 6}{x^{2} - 49}$
10068	Find the Domain and Range	f(x)=-12860x+140100	$f (x) = - 12860 x + 140100$
10069	Find the Domain and Range	f(x)=18-3x	$f (x) = 18 - 3 x$
10070	Find the Domain and Range	f(x)=(3(x^2-14x-5))/(3x^2+8x-16)	$f (x) = \frac{3 (x^{2} - 14 x - 5)}{3 x^{2} + 8 x - 16}$
10071	Find the Domain and Range	f(x)=-3x^2+24x-46	$f (x) = - 3 x^{2} + 24 x - 46$
10072	Find the Domain and Range	f(x)=3x^2-7x+2	$f (x) = 3 x^{2} - 7 x + 2$
10073	Find the Domain and Range	f(x)=-5x^2+30x-50	$f (x) = - 5 x^{2} + 30 x - 50$
10074	Find the Domain and Range	f(x)=-5x+4+x^2+3	$f (x) = - 5 x + 4 + x^{2} + 3$
10075	Find the Domain and Range	f(x)=-5x+9	$f (x) = - 5 x + 9$
10076	Find the Domain and Range	f(x)=-6x^2-2	$f (x) = - 6 x^{2} - 2$
10077	Find the Domain and Range	f(x)=75x-3x^2	$f (x) = 75 x - 3 x^{2}$
10078	Find the Domain and Range	f(x)=-7x+9	$f (x) = - 7 x + 9$
10079	Find the Domain and Range	f(x)=8	$f (x) = 8$
10080	Find the Domain and Range	f(x)=-9csc(pi/3x)	$f (x) = - 9 \csc (\frac{π}{3} x)$
10081	Find the Domain and Range	f(x) = log of x^2-14x+48	$f (x) = \log (x^{2} - 14 x + 48)$
10082	Find the Domain and Range	f(x)=-x-4	$f (x) = - x - 4$
10083	Find the Domain and Range	g(x)=(x+7)/(x^2-36)	$g (x) = \frac{x + 7}{x^{2} - 36}$
10084	Find the Domain and Range	H(x)=(-2x^2)/((x-8)(x+8))	$H (x) = \frac{- 2 x^{2}}{(x - 8) (x + 8)}$
10085	Find the Domain and Range	h(x)=(-5x^2)/((x-7)(x+5))	$h (x) = \frac{- 5 x^{2}}{(x - 7) (x + 5)}$
10086	Find the Domain and Range	h(x)=(x-7)/(x^2-9)	$h (x) = \frac{x - 7}{x^{2} - 9}$
10087	Find the Domain and Range	h(x)=-5\|x\|	$h (x) = - 5 \| x \|$
10088	Find the Domain and Range	h(x)=f(x)+g(x)	$h (x) = f (x) + g (x)$
10089	Find the Domain and Range	k(x)=-2\|x\|	$k (x) = - 2 \| x \|$
10090	Find the Domain and Range	p(x)=75-2x	$p (x) = 75 - 2 x$
10091	Find the Domain and Range	r(x)=(10x)/(x+5)	$r (x) = \frac{10 x}{x + 5}$
10092	Find the Domain and Range	y+2=x^2	$y + 2 = x^{2}$
10093	Find the Domain and Range	y=((x+3)/(2x-6))	$y = (\frac{x + 3}{2 x - 6})$
10094	Find the Domain and Range	y=(25x-3)(x^2-11)	$y = (25 x - 3) (x^{2} - 11)$
10095	Find the Domain and Range	y=(x-2)^2-1	$y = {(x - 2)}^{2} - 1$
10096	Find the Domain and Range	y=\|1-4x\|	$y = \| 1 - 4 x \|$
10097	Find the Domain and Range	y=\|x-3\|+1	$y = \| x - 3 \| + 1$
10098	Find the Domain and Range	y=-1/2x^2+4x-6	$y = \frac{- 1}{2} x^{2} + 4 x - 6$
10099	Find the Domain and Range	y = square root of 12+x-x^2	$y = \sqrt{12 + x - x^{2}}$
10100	Find the Domain and Range	y=(x^3)/(x-7)	$y = \frac{x^{3}}{x - 7}$