Find the Domain of the Rational Function $f ( x ) = \frac { 1 - 6 x } { x ^ { 3 } - 18 x ^ { 2 } + 45 x }$

Multiple Choice

Find the domain of the rational function.
$f ( x ) = \frac { 1 - 6 x } { x ^ { 3 } - 18 x ^ { 2 } + 45 x }$

A) $\{ x \mid x \text { is a real number and } x \neq - 15 , x \neq 3 , x \neq 0 \}$
B) $\{ x \mid x \text { is a real number and } x \neq 15 , x \neq 3 , x \neq 0 \}$
C) $\left\{ x \mid x \text { is a real number and } x \neq 15 , x \neq 3 , x \neq \frac { 1 } { 6 } , x \neq 0 \right\}$
D) $\left\{ x \mid x \text { is a real number and } x \neq 15 , x \neq 3 , x \neq \frac { 1 } { 6 } \right\}$