Find the vertical asymptotes, if any, of the graph of the rational function.
-$$g ( x ) = \frac { x } { x + 5 }$$
A) $x = - 5$
B) $x = 0$ and $x = - 5$
C) $x = 0$ and $x = 5$
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 those points. For $g(x) = \frac{x}{x+5}$, setting the denominator equal to zero gives $x + 5 = 0$, which solves to $x = -5$. This is where the vertical asymptote is located.

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