Find the Domain of the Rational Function $$f ( x ) = \frac { - 2 x ( x + 2 ) } { 2 x ^ { 2 } - 3 x - 5 }$$

Multiple Choice

Find the domain of the rational function.
- $$f ( x ) = \frac { - 2 x ( x + 2 ) } { 2 x ^ { 2 } - 3 x - 5 }$$

A) $\left\{ x \mid x \neq - \frac { 5 } { 2 } , 1 \right\}$
B) $\left\{ x \mid x \neq \frac { 2 } { 5 } , - 1 \right\}$
C) $\left\{ x \mid x \neq \frac { 5 } { 2 } , - 1 \right\}$
D) $\left\{ x \mid x \neq - \frac { 2 } { 5 } , 1 \right\}$