Find the Indicated Function and Write Its Domain in Interval $$s ( x ) = \frac { x - 4 } { x ^ { 2 } - 36 } , t ( x ) = \frac { x - 6 } { 4 - x } , \left( \frac { s } { t } \right) ( x ) = ?$$

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $$s ( x ) = \frac { x - 4 } { x ^ { 2 } - 36 } , t ( x ) = \frac { x - 6 } { 4 - x } , \left( \frac { s } { t } \right) ( x ) = ?$$

A) $- \frac { ( x - 4 ) ^ { 2 } } { ( x - 6 ) ^ { 2 } ( x + 6 ) } ; ( - \infty , - 6 ) \cup ( - 6,4 ) \cup ( 4,6 ) \cup ( 6 , \infty )$
B) $- \frac { 1 } { x + 6 } ; ( - \infty , - 6 ) \cup ( - 6 , \infty )$
C) $- \frac { ( x - 4 ) ^ { 2 } } { ( x - 6 ) ^ { 2 } ( x + 6 ) } ; ( - \infty , - 6 ) \cup ( 6 , \infty )$
D) $- \frac { 1 } { x + 6 } ; ( - \infty , - 6 ) \cup ( - 6,4 ) \cup ( 4,6 ) \cup ( 6 , \infty )$