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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).

    © BrainMass Inc. brainmass.com February 24, 2021, 2:20 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/14770

    Solution Preview

    g(x) = x^2+1
    hence,
    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.

    $2.19

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