Find the Difference Quotient and Simplify Your Answer $f ( x ) = 5 x - x ^ { 2 } , \quad \frac { f ( 9 + h ) - f ( 9 ) } { h } , \quad h \neq 0$

question 91

Multiple Choice

Find the difference quotient and simplify your answer.
$f ( x ) = 5 x - x ^ { 2 } , \quad \frac { f ( 9 + h ) - f ( 9 ) } { h } , \quad h \neq 0$

• A) \(- h - 11 , h \neq 0\)
• B) \(- h - 10 , h \neq 0\)
• C) \(- h - 9 , \quad h \neq 0\)
• D) \(- h - 13 , \quad h \neq 0\)
• E) \(- h - 12 , \quad h \neq 0\)

---

Definitions:

Patents

Legal documents granting an inventor exclusive rights to manufacture, use, or sell their invention for a certain period of time.

Marginal Revenue

The additional income gained from selling one more unit of a good or service.

Prefabricated Garages

Garages that are manufactured in sections off-site and then assembled on-site, providing a quick and often cost-effective building solution.

Sales Schedule

A detailed plan that outlines the expected timing and quantity of sales of a product or service.