Find the Domain of the Rational Expression $f ( x ) = \frac { 5 x } { - 3 + x }$

Multiple Choice

Find the domain of the rational expression.
- $f ( x ) = \frac { 5 x } { - 3 + x }$

A) $\{ x \mid x$ is a real number and $x \neq - 3 \}$
B) $\{ x \mid x$ is a real number and $x \neq 0 \}$
C) $\{ x \mid x$ is a real number and $x \neq 3 \}$
D) $\{ x \mid x$ is a real number and $x \neq 0 , x \neq 3 \}$