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    bazanj1's Avatar
    bazanj1 Posts: 3, Reputation: 1
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    #1

    Oct 3, 2010, 03:37 PM
    Let f(x) = x2 9 and let g(x) = f(x - 2).
    Let f(x) = x^2 + 9 and let g(x) = f(x - 2).
    (a) Write the rule of g and simplify.
    g(x) =x^2-4x+13
    (b) Find the difference quotient of f(x).
    Find the difference quotient of g(x).

    (c) Let d(x) denote the difference quotient of f(x). Determine whether d(x - 2) is the difference quotient of g(x).
    bazanj1's Avatar
    bazanj1 Posts: 3, Reputation: 1
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    #2

    Oct 4, 2010, 06:23 AM
    Let f(x) = x2 9 and let g(x) = f(x - 2).
    Let f(x) = x2 + 9 and let g(x) = f(x - 2).
    (a) Write the rule of g and simplify.
    g(x)=
    (b) Find the difference quotient of f(x).
    Find the difference quotient of g(x).
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #3

    Oct 4, 2010, 07:13 AM
    Quote Originally Posted by bazanj1 View Post
    Let f(x) = x^2 + 9 and let g(x) = f(x - 2).
    (a) Write the rule of g and simplify.
    g(x) =x^2-4x+13
    (b) Find the difference quotient of f(x).
    Find the difference quotient of g(x).

    (c) Let d(x) denote the difference quotient of f(x). Determine whether d(x - 2) is the difference quotient of g(x).

    You do not have to keep reposting. It was noticed the first time. Allow folks time to get around.

    a: looks good.

    b: The difference quotient of g(x) is the definition of a derivative.





    Simplify and take the limit, and it should give the derivative of



    Apply the same thing to f(x) to find its DQ.

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