Question

write the equation of the vertical asymptote(s) of the rational function. $y = \frac{x^{2}-1}{x^{2}+5x}$
$x = 0$ and $x = - 5$
$x = - 5$
$x = 1$
$x = 1$ and $x = 1$

Explanation:

Step1: Find denominator zeros

Set $x^{2}+5x = 0$.

Step2: Factor the equation

$x(x + 5)=0$.

Step3: Solve for x

$x=0$ or $x=-5$.

Answer:

$x = 0$ and $x=-5$