Compute and Simplify the Difference Quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$

Multiple Choice

Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
- $$f ( x ) = \frac { x - 9 } { x + 3 }$$

A) $\frac { 12 } { ( x + h + 3 ) ( x + 3 ) }$

B) $\frac { 13 } { ( x + 3 ) ( x - 3 ) }$

C) $\frac { 12 ( x + h + 3 ) } { ( x + 3 ) }$

D) $- \frac { 12 } { x ( x + 3 ) }$