Find the Indicated Function and Write Its Domain in Interval $$s ( x ) = \frac { x - 2 } { x ^ { 2 } - 64 } , t ( x ) = \sqrt { x + 8 } , ( s \cdot t ) ( x ) = ?$$

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $$s ( x ) = \frac { x - 2 } { x ^ { 2 } - 64 } , t ( x ) = \sqrt { x + 8 } , ( s \cdot t ) ( x ) = ?$$

A) $\frac { ( x - 2 ) } { ( x + 8 ) ( x - 8 ) \sqrt { x + 8 } } ; ( - 8,2 ) \cup ( 2,8 ) \cup ( 8 , \infty )$
B) $\frac { ( x - 2 ) \sqrt { x + 8 } } { ( x + 8 ) ( x - 8 ) } ; ( - 8,8 ) \cup ( 8 , \infty )$
C) $\frac { ( x - 2 ) \sqrt { x + 8 } } { ( x + 8 ) ( x - 8 ) } ; ( - 8,2 ) \cup ( 2,8 ) \cup ( 8 , \infty )$
D) $\frac { ( x - 2 ) } { ( x + 8 ) ( x - 8 ) \sqrt { x + 8 } } ; ( - 8,8 ) \cup ( 8 , \infty )$