Determine the Domain of the Function $f ( x ) = \frac { x + 3 } { x ^ { 2 } - 1 }$

Multiple Choice

Determine the domain of the function.
- $f ( x ) = \frac { x + 3 } { x ^ { 2 } - 1 }$

A) $\{ x \mid x \neq - 1 \text { and } x \neq 1 \}$
B) $\{ x \mid x \neq 0 \text { and } x \neq 1 \}$
C) $\{ x \mid x \text { is a real number } \}$
D) $\{ x \mid x \neq - 1 , x \neq 1 \text {, and } x \neq - 3 \}$