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

Multiple Choice

Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
- $$f ( x ) = \frac { 20 } { x + 15 }$$

A) $\frac { 20 } { ( x + h + 15 ) ( x + 15 ) }$

B) $- \frac { 20 } { ( x + 20 ) ^ { 2 } }$

C) $- \frac { 20 } { ( x + h + 15 ) ( x + 15 ) }$

D) $- \frac { 300 } { ( x + h + 15 ) ( x + 15 ) }$