Determine the Domain of the Function $g ( x ) = \frac { x + 6 } { x ^ { 2 } + 49 }$

Multiple Choice

Determine the domain of the function.
- $g ( x ) = \frac { x + 6 } { x ^ { 2 } + 49 }$

A) $\{ x \mid x \neq - 7 \text { and } x \neq 7 \}$
B) $\{ x \mid x \text { is a real number } \}$
C) $\{ x \mid x \neq - 7 , x \neq 7 \text {, and } x \neq - 6 \}$
D) $\{ x \mid x \neq 0 \text { and } x \neq - 49 \}$