Determine the Domain of the Function $f ( x ) = \frac { 1 - 2 x } { x ^ { 3 } - 20 x ^ { 2 } + 96 x }$

Multiple Choice

Determine the domain of the function.
- $f ( x ) = \frac { 1 - 2 x } { x ^ { 3 } - 20 x ^ { 2 } + 96 x }$

A) $\left\{ x \mid x \neq 12 , x \neq 8 , x \neq \frac { 1 } { 2 } \text {, and } x \neq 0 \right\}$
B) $\{ x \mid x \neq - 12 , x \neq 8 \text {, and } x \neq 0 \}$
C) $\left\{ x \mid x \neq 12 , x \neq 8 , \text { and } x \neq \frac { 1 } { 2 } \right\}$
D) $\{ x \mid x \neq 12 , x \neq 8 , \text { and } x \neq 0 \}$