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MATH SOLVE
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Evaluate the difference quotient for the given function. Simplify your answer.f(x) = 1 + 5x − x2,...
4 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.