Question

write the equation of the vertical asymptote(s) of the rational function. y = \frac{x}{x + 6}
no vertical asymptote
x = 6
x = - 6
x = 0

Explanation:

Step1: Recall vertical - asymptote rule

Vertical asymptotes of a rational function $y=\frac{f(x)}{g(x)}$ occur where $g(x) = 0$.

Step2: Set denominator equal to 0

For $y=\frac{x}{x + 6}$, set $x+6=0$.

Step3: Solve for x

$x=-6$.

Answer:

$x = - 6$