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    Composition of functions

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    If g(x)=x^2+1, find the formulas for g^3(x) and (gogog)(x).

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    g(x) = x^2+1
    g^3(x) = (x^2+1)^3 = x^6 + 1 + 3*x^2*1*(x^2+1)
    [because, (a+b)^3 = a^3 + b^3 + 3*a*b*(a+b)]
    => ...

    Solution Summary

    This provides a function and then shows how to find composite functions.