Determine Which of the Rational Functions Given Below Has the Following

Multiple Choice

Determine which of the rational functions given below has the following feature(s) .
-There is a "hole" in its graph at $x = 5$

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