Determine the Domain of the Function $g ( x ) = \frac { x + 8 } { x ^ { 2 } + 25 x }$

Multiple Choice

Determine the domain of the function.
- $g ( x ) = \frac { x + 8 } { x ^ { 2 } + 25 x }$

A) $\{ x \mid x \neq - 5 , x \neq 5 \text {, and } x \neq - 8 \}$
B) $\{ x \mid x \neq - 5 \text { and } x \neq 5 \}$
C) $\{ x \mid x \neq 0 \text { and } x \neq - 25 \}$
D) $\{ x \mid x \text { is a real number } \}$