Find the vertical asymptotes, if any, of the graph of the rational function.
-$$f ( x ) = \frac { x + 5 } { x ( x - 5 ) }$$
A) $x = 0$ and $x = 5$
B) $x = 5$
C) $x = - 5$ 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). Setting the denominator $x(x-5) = 0$ gives $x = 0$ and $x = 5$, which are the points where the function is undefined, hence the vertical asymptotes.

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