Find the vertical asymptotes, if any, of the graph of the rational function.
-$$f ( x ) = \frac { x - 4 } { x ^ { 2 } - 5 x + 6 }$$
A) $x = - 4$
B) $x = 2 , x = 3$
C) $x = - 2 , x = - 3$
D) $x = 2 , x = 3 , x = - 4$

Question

Quizplus · Accepted Answer

Vertical asymptotes occur where the denominator is zero and the numerator is not zero at those points. Factoring the denominator $x^2 - 5x + 6 = (x - 2)(x - 3)$, we find that the function has vertical asymptotes at $x = 2$ and $x = 3$, since these values make the denominator zero but not the numerator.

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