Determine the Domain of the Function $f ( x ) = \frac { x ^ { 3 } + 8 x ^ { 4 } } { x ^ { 2 } + 25 }$

Multiple Choice

Determine the domain of the function.
- $f ( x ) = \frac { x ^ { 3 } + 8 x ^ { 4 } } { x ^ { 2 } + 25 }$

A) $\left\{ x \mid x \neq 0 \text { and } x \neq - \frac { 1 } { 8 } \right\}$
B) $\{ x \mid x \neq - 5 \}$
C) $\{ x \mid x \neq - 25 \}$
D) $\{ \mathrm { x } \mid \mathrm { x } \text { is a real number } \}$