Determine the Domain of the Function $f ( x ) = \frac { 2 x ^ { 2 } - 4 } { 3 x ^ { 2 } + 6 x - 45 }$

Multiple Choice

Determine the domain of the function.
- $f ( x ) = \frac { 2 x ^ { 2 } - 4 } { 3 x ^ { 2 } + 6 x - 45 }$

A) $\{ x \mid x \neq 3 , x \neq - 3 \text {, and } x \neq - 5 \}$
B) $\{ x \mid x \neq 3 \text { and } x \neq - 5 \}$
C) $\{ x \mid x \neq - 3 \text { and } x \neq 5 \}$
D) $\{ x \mid x \text { is a real number } \}$