# How do you find the asymptotes for (2x^2)/((-3x-1)^2)?

Mar 23, 2016

$x = - \frac{1}{3}$

#### Explanation:

Set each factor in the denominator to $0$ and solve for $x$. Since the factor, $- 3 x - 1$, appears twice, you only have to solve for $x$ in one of the factors.

$- 3 x - 1 = 0$

$- 3 x = 1$

$\textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} x = - \frac{1}{3} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

If you graph the function, you can see that the $x$ values approach, but never touch $x = - \frac{1}{3}$.

graph{(2x^2)/(-3x-1)^2 [-7.97, 7.834, -3, 4.9]}