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

Multiple Choice

Find and simplify the difference quotient $$\frac { f ( a + h ) - f ( a ) } { h } , h \neq 0$$ for the given function.
- $$f ( x ) = \frac { 7 } { x + 1 }$$

A) $\frac { - 7 } { a ( a + h ) }$
B) $\frac { - 7 } { a ( a + h + 1 ) }$
C) $\frac { - 7 } { ( a + 1 ) ( a + h + 1 ) }$
D) $\frac { - 7 } { ( a + 1 ) ( a + h ) }$