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Math Help - functions quotient limit

  1. #1
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    functions quotient limit

    2. compute the difference quotient for (f(x+h) - f(x))/h for f(x) = -3x + 8, and f(x) = 1/x^2.
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  2. #2
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    Plug-'n-Chug.

    If f(x) = -3x+8

    f(x+h) = -3(x+h)+8

    Put it all together and simplify it.
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  3. #3
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    so is it 1? (h/h)
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  4. #4
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    Hmmm...Are we forgetting the Distributive Property of Multiplication over Addition?

    [-3(x+h)+8] - [-3x+8] = [-3x - 3h + 8] - [-3x+8]
    = -3x - 3h + 8 + 3x - 8
    = -3x + 3x - 3h + 8 - 8
    = (-3x + 3x) - 3h + (8 - 8)

    Finish up and then ask again. I'm just not seeing 'h' alone in the numerator.
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  5. #5
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    ohh...ok..so then it would be 3h/h, which could be simplified to 3..right?
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