Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189601	Find f(g(x))	f(x)=2x-5 , g(x)=3x+7	$f (x) = 2 x - 5$ , $g (x) = 3 x + 7$
189602	Convert to Interval Notation	(2(x-4))/x<-4	$\frac{2 (x - 4)}{x} < - 4$
189603	Simplify	(1+1/(9x))/(3/x+1/(3x^2))	$\frac{1 + \frac{1}{9 x}}{\frac{3}{x} + \frac{1}{3 x^{2}}}$
189604	Solve the Inequality for x	Solve 2^(x+2)>1/32	Solve $2^{x + 2} > \frac{1}{32}$
189605	Find the Inverse	f(x)=-9/(8x)	$f (x) = - \frac{9}{8 x}$
189606	Find the Exact Value	(1/4)^4	${(\frac{1}{4})}^{4}$
189607	Find the Domain and Range	y=3^(2(x-3))	$y = 3^{2 (x - 3)}$
189608	Evaluate	6(7-3y)+6(y+1)	$6 (7 - 3 y) + 6 (y + 1)$
189609	Solve for x	a/(a-x)=b	$\frac{a}{a - x} = b$
189610	Find the Exact Value	1/4(-4^3+10^2)	$\frac{1}{4} (- 4^{3} + 10^{2})$
189611	Simplify	-(5c)^0+7^1-2^2	$- {(5 c)}^{0} + 7^{1} - 2^{2}$
189612	Solve for x	5x-3+x=2x+9	$5 x - 3 + x = 2 x + 9$
189613	Graph	h(x)=1/8x^3-x^2	$h (x) = \frac{1}{8} x^{3} - x^{2}$
189614	Graph	3x^2-27x<=0	$3 x^{2} - 27 x \leq 0$
189615	Simplify	(-10x^2-x+6)+(10x^2-5)	$(- 10 x^{2} - x + 6) + (10 x^{2} - 5)$
189616	Simplify	((4x^7)/(6x))^2	${(\frac{4 x^{7}}{6 x})}^{2}$
189617	Evaluate the Function	f(x)=x^3-x at x=1	$f (x) = x^{3} - x$ at $x = 1$
189618	Convert to Interval Notation	{x\|-3<=x}	${x \| - 3 \leq x}$
189619	Divide	(2.410^-9)/(610^-6)	$\frac{2.4 \times 10^{- 9}}{6 \times 10^{- 6}}$
189620	Simplify	-6+(14+2(60-9(1+3)))	$- 6 + (14 + 2 (60 - 9 (1 + 3)))$
189621	Solve for a	a/3=2/5b-1	$\frac{a}{3} = \frac{2}{5} b - 1$
189622	Simplify	\|(2(14-12))/2\|^3-\|3-6\|	${\| \frac{2 (14 - 12)}{2} \|}^{3} - \| 3 - 6 \|$
189623	Find the Domain and Range	y=(x+3)/(x^2-9)	$y = \frac{x + 3}{x^{2} - 9}$
189624	Divide Using Synthetic Division	(-3x^4)/(x-2)	$\frac{- 3 x^{4}}{x - 2}$
189625	Simplify	(-4x^2y^5z^3)/(2xy^9z^3)	$\frac{- 4 x^{2} y^{5} z^{3}}{2 x y^{9} z^{3}}$
189626	Solve the Rational Equation for x	x/9-2/5=1/3	$\frac{x}{9} - \frac{2}{5} = \frac{1}{3}$
189627	Solve for t	13t-2t-8t=45	$13 t - 2 t - 8 t = 45$
189628	Solve for x	2+ square root of 5x-1>5	$2 + \sqrt{5 x - 1} > 5$
189629	Solve the Inequality for x	6(x^2+1)-(2x-4)(3x+2)<3(5x+21)	$6 (x^{2} + 1) - (2 x - 4) (3 x + 2) < 3 (5 x + 21)$
189630	Solve for x	1/(x-6)+(x+3)/(x+9)=(2x+3)/(x^2+3x-54)	$\frac{1}{x - 6} + \frac{x + 3}{x + 9} = \frac{2 x + 3}{x^{2} + 3 x - 54}$
189631	Solve for x	A=x+y-4	$A = x + y - 4$
189632	Solve for g	-3.8g+5+2.7g=12.7	$- 3.8 g + 5 + 2.7 g = 12.7$
189633	Evaluate	2(x/2)	$2 (\frac{x}{2})$
189634	Solve for x	(2pi)/x=8pi	$\frac{2 π}{x} = 8 π$
189635	Evaluate	arcsin((- square root of 2)/2)	$\arcsin (\frac{- \sqrt{2}}{2})$
189636	Solve for x	3^(x-10)<=3^(5x-38)	$3^{x - 10} \leq 3^{5 x - 38}$
189637	Solve the Rational Equation for x	x/(x+2)+2/(x^2+5x+6)=5/(x+3)	$\frac{x}{x + 2} + \frac{2}{x^{2} + 5 x + 6} = \frac{5}{x + 3}$
189638	Convert to a Decimal	450deg	$450$ degrees
189639	Solve for x	x-12÷6=9	$x - 12 \div 6 = 9$
189640	Evaluate	5 log of x+ log of 20- log of 10	$5 \log (x) + \log (20) - \log (10)$
189641	Solve for x	-2(2x-9)+3<6x+5	$- 2 (2 x - 9) + 3 < 6 x + 5$
189642	Evaluate	5*10/4	$5 \cdot \frac{10}{4}$
189643	Simplify	(8x)/(x-8)-2/(x-8)	$\frac{8 x}{x - 8} - \frac{2}{x - 8}$
189644	Graph	y=2/3cos(x/2-pi/4)	$y = \frac{2}{3} \cos (\frac{x}{2} - \frac{π}{4})$
189645	Find the Quadratic Equation Given the Roots	6 and 3	$6$ and $3$
189646	Rationalize the Denominator	(4+ square root of 2)/(2- square root of 2)	$\frac{4 + \sqrt{2}}{2 - \sqrt{2}}$
189647	Simplify	(x-x)^2	${(x - x)}^{2}$
189648	Write the Fraction in Simplest Form	x/(x^2+3x+2)+3/(x+1)	$\frac{x}{x^{2} + 3 x + 2} + \frac{3}{x + 1}$
189649	Find the Roots (Zeros)	f(x)=-2((1^x)/3)	$f (x) = - 2 (\frac{1^{x}}{3})$
189650	Solve for n	4n-6<10n+7	$4 n - 6 < 10 n + 7$
189651	Solve for t	1.08(2t+2.50)+3=13.80	$1.08 (2 t + 2.5) + 3 = 13.8$
189652	Write in Standard Form	(x-1)^2-y^2=4	${(x - 1)}^{2} - y^{2} = 4$
189653	Factor	(x-y)^2-(x-z)^2	${(x - y)}^{2} - {(x - z)}^{2}$
189654	Find the Distance Between Two Points	(0,0) and (6,-8)	$(0, 0)$ and $(6, - 8)$
189655	Evaluate	2pi*1/3	$2 π \cdot \frac{1}{3}$
189656	Graph	y>=-(x+4)^2	$y \geq - {(x + 4)}^{2}$
189657	Solve for a	3/2(a-10)=-3	$\frac{3}{2} (a - 10) = - 3$
189658	Find f(g(x))	f(x)=5x-2 and g(x)=3x^2-4	$f (x) = 5 x - 2$ and $g (x) = 3 x^{2} - 4$
189659	Evaluate	(ab)^-2	${(a b)}^{- 2}$
189660	Simplify	(15a^2bn-45a^2bm)/(10a^2b^2n-30a^2b^2m)	$\frac{15 a^{2} b n - 45 a^{2} b m}{10 a^{2} b^{2} n - 30 a^{2} b^{2} m}$
189661	Simplify	3 square root of 32-2 square root of 18+ square root of 54	$3 \sqrt{32} - 2 \sqrt{18} + \sqrt{54}$
189662	Simplify	a+(a-b)+(-a+b)	$a + (a - b) + (- a + b)$
189663	Solve for x	(x+4)(x-3)=-5x-11	$(x + 4) (x - 3) = - 5 x - 11$
189664	Complete the Square	y=x^2-4x+1	$y = x^{2} - 4 x + 1$
189665	Graph Using a Table of Values	g(x) = log base 1/2 of x	$g (x) = \log_{\frac{1}{2}} (x)$
189666	Solve for y	2y=x+3/4	$2 y = x + \frac{3}{4}$
189667	Solve for x	fifth root of 27(x-2)=3	$\sqrt[5]{27 (x - 2)} = 3$
189668	Solve for x	1/2 square root of 20+x=5	$\frac{1}{2} \sqrt{20 + x} = 5$
189669	Factor	y=x^2+x-6	$y = x^{2} + x - 6$
189670	Solve for x	ax+b^2=a^2-bx	$a x + b^{2} = a^{2} - b x$
189671	Simplify	2x+3y-x-(8+1)	$2 x + 3 y - x - (8 + 1)$
189672	Solve for x	1/(x-8)+3/(x-3)=x/(x-3)	$\frac{1}{x - 8} + \frac{3}{x - 3} = \frac{x}{x - 3}$
189673	Solve the System of Equations	2x+3y+z=1 6x-2y-z=-14 3x+y-z=1	$2 x + 3 y + z = 1$ $6 x - 2 y - z = - 14$ $3 x + y - z = 1$
189674	Solve the Inequality for x	(x+6)(1-x)(x-4)>=0	$(x + 6) (1 - x) (x - 4) \geq 0$
189675	Simplify	4(n-3)-2(-3+n)	$4 (n - 3) - 2 (- 3 + n)$
189676	Graph	p(x)=(x+1)^2(2x+5)^2(x-3)^2	$p (x) = {(x + 1)}^{2} {(2 x + 5)}^{2} {(x - 3)}^{2}$
189677	Solve for w	(w^2-10)/(w+2)+w-4=w-3	$\frac{w^{2} - 10}{w + 2} + w - 4 = w - 3$
189678	Find the Holes in the Graph	(3x+12)/(-4x-2)	$\frac{3 x + 12}{- 4 x - 2}$
189679	Factor	(x+h)^2-x^2	${(x + h)}^{2} - x^{2}$
189680	Graph	x+y>=6 x>=4	$x + y \geq 6$ $x \geq 4$
189681	Divide	(-4x)÷x	$- 4 x \div x$
189682	Solve for x	cube root of 2x-5- cube root of 8x+1=0	$\sqrt[3]{2 x - 5} - \sqrt[3]{8 x + 1} = 0$
189683	Solve for x	x-4 = square root of 2x	$x - 4 = \sqrt{2 x}$
189684	Solve the Inequality for n	n/4<=-1	$\frac{n}{4} \leq - 1$
189685	Find the End Behavior	f(x)=12x^2-18x+2x^3-108	$f (x) = 12 x^{2} - 18 x + 2 x^{3} - 108$
189686	Evaluate	(2/3)/( square root of 9-(2/3)^2)	$\frac{\frac{2}{3}}{\sqrt{9 - {(\frac{2}{3})}^{2}}}$
189687	Find the x and y Intercepts	y=(4x^2+12x)/(x+7)	$y = \frac{4 x^{2} + 12 x}{x + 7}$
189688	Solve for x	2x+6=3x+9-3	$2 x + 6 = 3 x + 9 - 3$
189689	Simplify	-e^x*e^x	$- e^{x} \cdot e^{x}$
189690	Simplify	(25x^2-14xy+4)-(7x^2-9y)+(2xy+7)	$(25 x^{2} - 14 x y + 4) - (7 x^{2} - 9 y) + (2 x y + 7)$
189691	Find the Roots (Zeros)	f(x)=x^6-8x^5+12x^4+80x^3-416x^2+768x-512	$f (x) = x^{6} - 8 x^{5} + 12 x^{4} + 80 x^{3} - 416 x^{2} + 768 x - 512$
189692	Solve for t	\|2t-3\|=3t-2	$\| 2 t - 3 \| = 3 t - 2$
189693	Divide	((21x^2+x-2)/(3x-3))÷((49x^2-4)/(x-1))	$\frac{21 x^{2} + x - 2}{3 x - 3} \div \frac{49 x^{2} - 4}{x - 1}$
189694	Graph	9x>=36	$9 x \geq 36$
189695	Simplify	(5+25/x)/(x/5-5/x)	$\frac{5 + \frac{25}{x}}{\frac{x}{5} - \frac{5}{x}}$
189696	Find the Roots (Zeros)	f(x)=-(x+1)(x-3)(x+2)	$f (x) = - (x + 1) (x - 3) (x + 2)$
189697	Find the Degree, Leading Term, and Leading Coefficient	f(x)=2x-x^6+7+9x^4	$f (x) = 2 x - x^{6} + 7 + 9 x^{4}$
189698	Solve for y	xy=x+y	$x y = x + y$
189699	Find All Complex Solutions	2cos(x)=1	$2 \cos (x) = 1$
189700	Evaluate	(6^2-5^2)^2	${(6^{2} - 5^{2})}^{2}$