MATH SOLVE

2 months ago

Q:
# Evaluate the difference quotient for the given function. Simplify your answer.f(x) = 1 + 5x − x2, (f(5 + h) − f(5))/h

Accepted Solution

A:

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.