$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$

Multiple Choice

$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$
- $f ( x ) = \frac { 4 } { x }$

A) $\frac { 4 } { a }$
B) $\frac { - 1 } { 4 a ( a + h ) }$
C) $\frac { - 4 } { a ( a + h ) }$
D) $\frac { - 4 } { a }$