Find the Indicated Function and Write Its Domain in Interval $p ( x ) = x ^ { 2 } + 6 x , q ( x ) = \sqrt { 4 - x } , \left( \frac { q } { p } \right) ( x ) =$

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $p ( x ) = x ^ { 2 } + 6 x , q ( x ) = \sqrt { 4 - x } , \left( \frac { q } { p } \right) ( x ) =$ ?

A) $\left( \frac { q } { p } \right) ( x ) = \frac { \sqrt { 4 - x } } { x ^ { 2 } + 6 x } ; ( - \infty , - 6 ) \cup ( - 6,0 ) \cup ( 0,4 ]$
B) $\left( \frac { q } { p } \right) ( x ) = \frac { \sqrt { 4 - x } } { x ^ { 2 } + 6 x } ; ( - \infty , - 6 ) ( - 6,0 ) \cup ( 0 , \infty )$
C) $\left( \frac { q } { p } \right) ( x ) = \sqrt { \frac { 4 - x } { x ^ { 2 } + 6 x } } ; ( - \infty , - 6 ) \cup ( - 6,0 ) \cup ( 0,4 )$
D) $\left( \frac { q } { p } \right) ( x ) = \sqrt { \frac { 4 - x } { x ^ { 2 } + 6 x } } ; ( - \infty , - 6 ) \cup ( - 6,0 ) \cup ( 0 , \infty )$