Find the Domain of the Rational Function $g ( x ) = \frac { x ^ { 2 } - 25 } { x ^ { 2 } - 15 x + 54 }$

Multiple Choice

Find the domain of the rational function.
- $g ( x ) = \frac { x ^ { 2 } - 25 } { x ^ { 2 } - 15 x + 54 }$

A) $\{ x \mid x$ is a real number and $x \neq 5 , x \neq - 5 \}$
B) $\{ x \mid x$ is a real number and $x \neq - 6 , x \neq - 9 \}$
C) $\{ x \mid x$ is a real number and $x \neq 0 \}$
D) $\{ x \mid x$ is a real number and $x \neq 6 , x \neq 9 \}$