Will someone please walk me through how to do this problem?

If​ f(x) = 3x ​+ 9​, find {f(a+h) - f(a)} / h

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  • 1 month ago
    Favourite answer

    = ((3(a + h) + 9) - (3a + 9)) / h

    = (3a + 3h + 9 - 3a - 9) / h

    = 3h/h

    = 3

    = f'(x)

    Note that h can't equal zero, but h can (and presumably does) approach zero.

  • 1 month ago

    If​ f(x) = 3x ​+ 9​, find {f(a+h) - f(a)} / h

    when h→0

    then

    {f(a+h) - f(a)} / h  = f ' (a) definition of "derivate"

  • ted s
    Lv 7
    1 month ago

    do what it says by replacing x with the symbols " a + h " and also just " a " and then doing the algebra to simplify the quotient....not difficult if you KNOW algebra

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