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12 February, 15:48

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

f (x) = 1 + 5x - x2, (f (5 + h) - f (5)) / h

+5
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  1. 12 February, 18:33
    0
    -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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