Find the Indicated Function and Write Its Domain in Interval $s ( x ) = \frac { x - 2 } { x ^ { 2 } - 9 } , t ( x ) = \frac { x - 3 } { 2 - x } , ( s + t ) ( x ) = ?$

Multiple Choice

Find the indicated function and write its domain in interval notation.
- $s ( x ) = \frac { x - 2 } { x ^ { 2 } - 9 } , t ( x ) = \frac { x - 3 } { 2 - x } , ( s + t ) ( x ) = ?$

A) $\frac { x ^ { 3 } - 2 x ^ { 2 } - 13 x + 31 } { ( x + 3 ) ( x - 3 ) ( x - 2 ) } ; ( - \infty , - 3 ) \cup ( - 3,2 ) \cup ( 2,3 ) \cup ( 3 , \infty )$
B) $\frac { x ^ { 3 } - 2 x ^ { 2 } - 13 x + 31 } { ( x + 3 ) ( x - 3 ) ( x - 2 ) } ; ( - \infty , - 3 ) \cup ( 3 , \infty )$
C) $- \frac { x ^ { 3 } - 4 x ^ { 2 } - 5 x + 23 } { ( x + 3 ) ( x - 3 ) ( x - 2 ) } ; ( - \infty , - 3 ) \cup ( - 3,2 ) \cup ( 2,3 ) \cup ( 3 , \infty )$
D) $- \frac { x ^ { 3 } - 4 x ^ { 2 } - 5 x + 23 } { ( x + 3 ) ( x - 3 ) ( x - 2 ) } ; ( - \infty , - 3 ) \cup ( 3 , \infty )$