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Math Help - Compute and simplify the difference quotient...assistance

  1. #1
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    Compute and simplify the difference quotient...assistance

    I am practicing for a test...I am not looking for the answer, but rather, some assistance if someone could please take me through this problem as I am very confused by this one. Any assistance would be greatly appreciated!Compute and simplify the difference quotient...assistance-12differencequotient.jpg
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  2. #2
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    Re: Compute and simplify the difference quotient...assistance

    computation first:

    f(x) is given in the question
    to get f(x+h), just replace every "x" with "x+h"

    f(x+h) = 3(x+h)^2 + 5(x+h)=3x^2 + 6xh + 3h^2+5x+5h

    so:
    f(x+h) - f(x) =3x^2 + 6xh + 3h^2+5x+5h-3x^2 -5x

    cancel out and then divide by h to finish.
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  3. #3
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    Re: Compute and simplify the difference quotient...assistance

    Thank you for making this so clear to me! Sometimes I overthink things! Answer is 6x + 3h + 5
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