Evaluate the difference quotient for the given function. Simplify your answer.

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

Answer:

-5 - h

Step-by-step explanation:

ƒ(x) = 1 + 5x - x²

[f(5 + h) -f(5)]/h

= [1 + 5(5 + h) - (5 + h)² - 1 - 5(5) +5²]/h

= (25 + 5h - 25 - 10h - h² - 25 + 25)/h

= (-5h - h²)/h

= -5 - h

The difference quotient is -5 - h.

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