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

question 391

Multiple Choice

Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
- $$f ( x ) = \frac { x - 9 } { x + 3 }$$

• A) \(\frac { 12 } { ( x + h + 3 ) ( x + 3 ) }\)
• B) \(\frac { 13 } { ( x + 3 ) ( x - 3 ) }\)
• C) \(\frac { 12 ( x + h + 3 ) } { ( x + 3 ) }\)
• D) \(- \frac { 12 } { x ( x + 3 ) }\)

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