Let $g ( x ) = \frac { 1 } { \sqrt { x + 15 } }$

Let $g ( x ) = \frac { 1 } { \sqrt { x + 15 } }$ .
Evaluate the expression $\frac { g ( x ) - g ( - 11 ) } { x + 11 }$ and then simplify the result. $g ( x ) = \frac { 1 } { \sqrt { x + 15 } } , \frac { g ( x ) - g ( - 11 ) } { x + 11 }$

A) $\frac { 2 \sqrt { x + 15 } - x - 15 } { 2 ( x + 11 ) ( x + 15 ) }$
B) $\frac { 2 \sqrt { x + 15 } + x - 15 } { 2 ( x - 11 ) ( x + 15 ) }$
C) $\frac { 2 \sqrt { x + 15 } + x - 15 } { 2 ( x + 11 ) ( x + 15 ) }$
D) $\frac { 2 \sqrt { x + 15 } - x - 15 } { 2 ( x - 11 ) ( x + 15 ) }$
E) undefined