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

question 378

Multiple Choice

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$
- $$f ( x ) = \frac { x } { 8 - x }$$

• A) \(\frac { 8 } { ( 8 - x - h ) ( 8 - x ) }\)
• B) \( - \frac { 8 } { ( 8 - x + h ) ( 8 - x ) }\)
• C) \(\frac { h x } { ( 8 - x - h ) ( 8 + x ) }\)
• D) \(\frac { x } { ( 8 - x + h ) ( 8 - x ) }\)

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