Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8301	Find the Asymptotes	f(x)=(x^2-2x-3)/x	$f (x) = \frac{x^{2} - 2 x - 3}{x}$
8302	Find the Asymptotes	f(x)=(x^2-x-20)/(x-7)	$f (x) = \frac{x^{2} - x - 20}{x - 7}$
8303	Find the Asymptotes	f(x)=(x^2-x-2)/(x-4)	$f (x) = \frac{x^{2} - x - 2}{x - 4}$
8304	Find the Asymptotes	f(x)=(x^2-x-2)/(x-6)	$f (x) = \frac{x^{2} - x - 2}{x - 6}$
8305	Find the Asymptotes	f(x)=(x^3+1)/(x^2-5x-14)	$f (x) = \frac{x^{3} + 1}{x^{2} - 5 x - 14}$
8306	Find the Asymptotes	f(x)=(x^3)/(2x^3-x^2-3x)	$f (x) = \frac{x^{3}}{2 x^{3} - x^{2} - 3 x}$
8307	Find the Asymptotes	f(x)=(x^2-x-6)/(x-3)	$f (x) = \frac{x^{2} - x - 6}{x - 3}$
8308	Find the Asymptotes	f(x)=(x^3-1)/(x-x^2)	$f (x) = \frac{x^{3} - 1}{x - x^{2}}$
8309	Find the Asymptotes	f(x)=(x^3-27)/(x^2-x-6)	$f (x) = \frac{x^{3} - 27}{x^{2} - x - 6}$
8310	Find the Asymptotes	f(x)=(x^3-64)/(x^2+x-20)	$f (x) = \frac{x^{3} - 64}{x^{2} + x - 20}$
8311	Find the Asymptotes	f(x)=(x^3+1)/(x^2-4)	$f (x) = \frac{x^{3} + 1}{x^{2} - 4}$
8312	Find the Asymptotes	f(x)=(x^3-27)/(\|x-3\|)	$f (x) = \frac{x^{3} - 27}{\| x - 3 \|}$
8313	Find the Asymptotes	f(x)=(x^3-64)/(x^2-x-12)	$f (x) = \frac{x^{3} - 64}{x^{2} - x - 12}$
8314	Find the Asymptotes	f(x)=(x^4-16)/(2x^2-4x)	$f (x) = \frac{x^{4} - 16}{2 x^{2} - 4 x}$
8315	Find the Asymptotes	f(x)=1/(x^2-1)	$f (x) = \frac{1}{x^{2} - 1}$
8316	Find the Asymptotes	f(x)=1/(x^2-4)	$f (x) = \frac{1}{x^{2} - 4}$
8317	Find the Asymptotes	f(x)=1/((x+2)(x-5))	$f (x) = \frac{1}{(x + 2) (x - 5)}$
8318	Find the Asymptotes	f(x)=(4x)/(x-2)	$f (x) = \frac{4 x}{x - 2}$
8319	Find the Asymptotes	f(x)=(x^3-64)/(x^2-3x-4)	$f (x) = \frac{x^{3} - 64}{x^{2} - 3 x - 4}$
8320	Find the Asymptotes	f(x)=(4x^2+4x-24)/(2x^2+4x-16)	$f (x) = \frac{4 x^{2} + 4 x - 24}{2 x^{2} + 4 x - 16}$
8321	Find the Asymptotes	f(x)=(4x^3-7x^2-3x+7)/(x-2)	$f (x) = \frac{4 x^{3} - 7 x^{2} - 3 x + 7}{x - 2}$
8322	Find the Asymptotes	f(x)=4/(x^2-3x-10)	$f (x) = \frac{4}{x^{2} - 3 x - 10}$
8323	Find the Asymptotes	f(x)=(3x-3)/(x+5)	$f (x) = \frac{3 x - 3}{x + 5}$
8324	Find the Asymptotes	f(x)=(3000x)/(x+1)	$f (x) = \frac{3000 x}{x + 1}$
8325	Find the Asymptotes	f(x)=(3x+5)/(x-6)	$f (x) = \frac{3 x + 5}{x - 6}$
8326	Find the Asymptotes	f(x)=(3x+3)/(2x+4)	$f (x) = \frac{3 x + 3}{2 x + 4}$
8327	Find the Asymptotes	f(x)=(3x+6)/(2x+2)	$f (x) = \frac{3 x + 6}{2 x + 2}$
8328	Find the Asymptotes	f(x)=(3x+7)/(x^2-8x+12)	$f (x) = \frac{3 x + 7}{x^{2} - 8 x + 12}$
8329	Find the Asymptotes	f(x)=3/x	$f (x) = \frac{3}{x}$
8330	Find the Asymptotes	f(x)=3/(x-1)	$f (x) = \frac{3}{x - 1}$
8331	Find the Asymptotes	f(x)=(3x^2-12x)/(x^2-2x-3)	$f (x) = \frac{3 x^{2} - 12 x}{x^{2} - 2 x - 3}$
8332	Find the Asymptotes	f(x)=3/(x^2-2)	$f (x) = \frac{3}{x^{2} - 2}$
8333	Find the Asymptotes	f(x)=(3x^3)/(x^2-25)	$f (x) = \frac{3 x^{3}}{x^{2} - 25}$
8334	Find the Asymptotes	f(x)=3/(x^2+3x-4)	$f (x) = \frac{3}{x^{2} + 3 x - 4}$
8335	Find the Asymptotes	f(x)=3^(x+1)+5	$f (x) = 3^{x + 1} + 5$
8336	Find the Asymptotes	f(x)=(32x^2)/(8x^2-5)	$f (x) = \frac{32 x^{2}}{8 x^{2} - 5}$
8337	Find the Asymptotes	f(x)=(3x)/(x^2-16)	$f (x) = \frac{3 x}{x^{2} - 16}$
8338	Find the Asymptotes	f(x)=(3x)/(x^2-4)	$f (x) = \frac{3 x}{x^{2} - 4}$
8339	Find the Asymptotes	f(x)=(3x^2-11x-4)/(x-4)	$f (x) = \frac{3 x^{2} - 11 x - 4}{x - 4}$
8340	Find the Asymptotes	f(x)=(3x^2-2x-1)/(x^2-3x+2)	$f (x) = \frac{3 x^{2} - 2 x - 1}{x^{2} - 3 x + 2}$
8341	Find the Asymptotes	f(x)=(3x^2-4x+5)/(x-3)	$f (x) = \frac{3 x^{2} - 4 x + 5}{x - 3}$
8342	Find the Asymptotes	f(x)=(3x^2-x-2)/(2x^2-7x)	$f (x) = \frac{3 x^{2} - x - 2}{2 x^{2} - 7 x}$
8343	Find the Asymptotes	f(x)=(3x^3+15x^2+2x+3)/(9x^2-x+6)	$f (x) = \frac{3 x^{3} + 15 x^{2} + 2 x + 3}{9 x^{2} - x + 6}$
8344	Find the Asymptotes	f(x)=(3x^2-12x)/(2x^2-32)	$f (x) = \frac{3 x^{2} - 12 x}{2 x^{2} - 32}$
8345	Find the Asymptotes	f(x)=(2x)/(x^2-2x-8)	$f (x) = \frac{2 x}{x^{2} - 2 x - 8}$
8346	Find the Asymptotes	f(x)=(3x^2+x-5)/(x^2+1)	$f (x) = \frac{3 x^{2} + x - 5}{x^{2} + 1}$
8347	Find the Asymptotes	f(x)=(2x+1)/(x+3)	$f (x) = \frac{2 x + 1}{x + 3}$
8348	Find the Asymptotes	f(x)=(2x+1)/(x-1)	$f (x) = \frac{2 x + 1}{x - 1}$
8349	Find the Asymptotes	f(x)=(2x+6)/(x-4)	$f (x) = \frac{2 x + 6}{x - 4}$
8350	Find the Asymptotes	f(x)=(2x+1)/(x+1)	$f (x) = \frac{2 x + 1}{x + 1}$
8351	Find the Asymptotes	f(x)=(2x+3)/(x^2-5x+6)	$f (x) = \frac{2 x + 3}{x^{2} - 5 x + 6}$
8352	Find the Asymptotes	f(x)=(2x-1)/(x+3)	$f (x) = \frac{2 x - 1}{x + 3}$
8353	Find the Asymptotes	f(x)=(2x+8)/(x-1)	$f (x) = \frac{2 x + 8}{x - 1}$
8354	Find the Asymptotes	f(x)=(2x-4)/(x-3)	$f (x) = \frac{2 x - 4}{x - 3}$
8355	Find the Asymptotes	f(x)=(2x-1)/(x-3)	$f (x) = \frac{2 x - 1}{x - 3}$
8356	Find the Asymptotes	f(x)=(2x-1)/(x-5)	$f (x) = \frac{2 x - 1}{x - 5}$
8357	Find the Asymptotes	f(x)=(3x^2)/(x^(2-16))	$f (x) = \frac{3 x^{2}}{x^{2 - 16}}$
8358	Find the Asymptotes	f(x)=(2x-7)/(x^2-16)	$f (x) = \frac{2 x - 7}{x^{2} - 16}$
8359	Find the Asymptotes	f(x)=(12x^2+1)/(4x^2+6x-10)	$f (x) = \frac{12 x^{2} + 1}{4 x^{2} + 6 x - 10}$
8360	Find the Asymptotes	f(x)=(1-3x)/(1-x)	$f (x) = \frac{1 - 3 x}{1 - x}$
8361	Find the Asymptotes	f(x)=(2x^2)/(x^2+5)	$f (x) = \frac{2 x^{2}}{x^{2} + 5}$
8362	Find the Asymptotes	f(x)=12/(1+2*0.8^x)	$f (x) = \frac{12}{1 + 2 \cdot {0.8}^{x}}$
8363	Find the Asymptotes	f(x)=(2x^2)/(x^2+3)	$f (x) = \frac{2 x^{2}}{x^{2} + 3}$
8364	Find the Asymptotes	f(x)=18/((x-3)^2)	$f (x) = \frac{18}{{(x - 3)}^{2}}$
8365	Find the Asymptotes	f(x)=-10^x	$f (x) = - 10^{x}$
8366	Find the Asymptotes	f(x)=1/(x-7)	$f (x) = \frac{1}{x - 7}$
8367	Find the Asymptotes	f(x)=1/(x-2)+3	$f (x) = \frac{1}{x - 2} + 3$
8368	Find the Asymptotes	f(x)=1/(x^2-2x+1)	$f (x) = \frac{1}{x^{2} - 2 x + 1}$
8369	Find the Asymptotes	f(x)=1/(x^2-8x+12)	$f (x) = \frac{1}{x^{2} - 8 x + 12}$
8370	Find the Asymptotes	f(x)=2^(-x)+5	$f (x) = 2^{- x} + 5$
8371	Find the Asymptotes	f(x)=2^x+1	$f (x) = 2^{x} + 1$
8372	Find the Asymptotes	f(x)=(2x^2-5x+5)/(x-2)	$f (x) = \frac{2 x^{2} - 5 x + 5}{x - 2}$
8373	Find the Asymptotes	f(x)=2/(x^2-x-6)	$f (x) = \frac{2}{x^{2} - x - 6}$
8374	Find the Asymptotes	f(x)=2/(x-1)	$f (x) = \frac{2}{x - 1}$
8375	Find the Asymptotes	f(x)=(2x)/((x-3)(x+1))	$f (x) = \frac{2 x}{(x - 3) (x + 1)}$
8376	Find the Asymptotes	f(x)=(2x^2-8x)/(5x^2-80)	$f (x) = \frac{2 x^{2} - 8 x}{5 x^{2} - 80}$
8377	Find the Asymptotes	f(x)=(2x^3+10x^2)/(x^3+5x^2-9x-45)	$f (x) = \frac{2 x^{3} + 10 x^{2}}{x^{3} + 5 x^{2} - 9 x - 45}$
8378	Find the Asymptotes	f(x)=(2x^2-18)/(x^2-25)	$f (x) = \frac{2 x^{2} - 18}{x^{2} - 25}$
8379	Find the Asymptotes	f(x)=(2x^2-32)/(x^2+x-12)	$f (x) = \frac{2 x^{2} - 32}{x^{2} + x - 12}$
8380	Find the Asymptotes	f(x)=(2x^2-6x)/(5x^2-45)	$f (x) = \frac{2 x^{2} - 6 x}{5 x^{2} - 45}$
8381	Solve Using the Quadratic Formula	25x^2-1=0	$25 x^{2} - 1 = 0$
8382	Solve Using the Quadratic Formula	2y^2-y+8=0	$2 y^{2} - y + 8 = 0$
8383	Solve Using the Quadratic Formula	2y^2-y-1/2=0	$2 y^{2} - y - \frac{1}{2} = 0$
8384	Solve Using the Quadratic Formula	3(x+3)^2-81=0	$3 {(x + 3)}^{2} - 81 = 0$
8385	Solve Using the Quadratic Formula	2x^2-5x=-7	$2 x^{2} - 5 x = - 7$
8386	Solve Using the Quadratic Formula	2x^2-12x-32=0	$2 x^{2} - 12 x - 32 = 0$
8387	Solve Using the Quadratic Formula	2x^2-16x+31=0	$2 x^{2} - 16 x + 31 = 0$
8388	Solve Using the Quadratic Formula	2x^2-2x=3	$2 x^{2} - 2 x = 3$
8389	Solve Using the Quadratic Formula	36x^2-12x+2=0	$36 x^{2} - 12 x + 2 = 0$
8390	Solve Using the Quadratic Formula	3z^2-2z=7	$3 z^{2} - 2 z = 7$
8391	Solve Using the Quadratic Formula	3x^2-12x-6=0	$3 x^{2} - 12 x - 6 = 0$
8392	Solve Using the Quadratic Formula	3x^2=81	$3 x^{2} = 81$
8393	Solve Using the Quadratic Formula	4x^2-4x-17=0	$4 x^{2} - 4 x - 17 = 0$
8394	Solve Using the Quadratic Formula	4x^2-4x-63=0	$4 x^{2} - 4 x - 63 = 0$
8395	Solve Using the Quadratic Formula	4x^2-7x=0	$4 x^{2} - 7 x = 0$
8396	Solve Using the Quadratic Formula	4x^2+5x+13/8=0	$4 x^{2} + 5 x + \frac{13}{8} = 0$
8397	Solve Using the Quadratic Formula	4x^2+x-1/4=0	$4 x^{2} + x - \frac{1}{4} = 0$
8398	Solve Using the Quadratic Formula	3x(x-1)-x(x-8)=3	$3 x (x - 1) - x (x - 8) = 3$
8399	Solve Using the Quadratic Formula	4x+3x^2-x+2=38	$4 x + 3 x^{2} - x + 2 = 38$
8400	Solve Using the Quadratic Formula	5x^2+20x-21=0	$5 x^{2} + 20 x - 21 = 0$