Determine which of the rational functions given below has the following feature(s).
-The vertical asymptote is x = 5
A) $f ( x ) = \frac { x - 5 } { x + 9 }$

B) $f ( x ) = \frac { x + 9 } { x + 5 }$

C) $f ( x ) = \frac { 5 x - 1 } { x + 9 }$

D) $f ( x ) = \frac { x + 9 } { x - 5 }$

Question

Determine which of the rational functions given below has the following feature(s).
-The vertical asymptote is x = 5 
A) $f ( x ) = \frac { x - 5 } { x + 9 }$

B) $f ( x ) = \frac { x + 9 } { x + 5 }$

C) $f ( x ) = \frac { 5 x - 1 } { x + 9 }$

D) $f ( x ) = \frac { x + 9 } { x - 5 }$

Quizplus · Accepted Answer

A vertical asymptote occurs where the denominator of a rational function is zero (and the numerator is not zero at that point). For option D, setting the denominator equal to zero gives $x - 5 = 0$, or $x = 5$, which matches the given condition.

Determine Which of the Rational Functions Given Below Has the Following