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

$$\text { Find and simplify the difference quotient } \frac { f ( a + h ) - f ( a ) } { h } , h \neq 0 \text { for the given function. }$$
- $f ( x ) = \frac { 2 } { x + 1 }$

A) $\frac { - 2 } { a ( a + h + 1 ) }$
B) $\frac { - 2 } { ( a + 1 ) ( a + h + 1 ) }$
C) $\frac { - 2 } { ( a + 1 ) ( a + h ) }$
D) $\frac { - 2 } { a ( a + h ) }$

Correct Answer:

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