Determine which of the rational functions given below has the following feature(s).
-The vertical asymptote is $x = 4$
A) $f ( x ) = \frac { 4 x - 1 } { x + 9 }$
B) $f ( x ) = \frac { x - 4 } { x + 9 }$
C) $ f ( x ) = \frac { x + 9 } { x - 4 }$
D) $f ( x ) = \frac { x + 9 } { x + 4 }$

Question

Quizplus · Accepted Answer

Vertical asymptotes occur where the denominator of a rational function is equal to zero, without the numerator also being zero at that point. For choice C, setting $x - 4 = 0$ gives $x = 4$, indicating a vertical asymptote at $x = 4$.

Determine Which of the Rational Functions Given Below Has the Following