Find the vertical asymptotes, if any, of the graph of the rational function.
-$$f ( x ) = \frac { x } { x + 9 }$$
A) $x = 0$ and $x = 9$
B) $x = - 9$
C) $x = 0$ and $x = - 9$
D) no vertical asymptote

Question

Quizplus · Accepted Answer

Vertical asymptotes occur where the denominator of a rational function is zero and the numerator is not zero at that point. For $f(x) = \frac{x}{x+9}$, setting the denominator equal to zero gives $x + 9 = 0$, which solves to $x = -9$. This is the only vertical asymptote.

Find the Vertical Asymptotes, If Any, of the Graph of the Rational