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    Find all differentiable functions.

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    Find all differentiable functions f : R ---> R such that (f composed f) = f.

    R = All Real Numbers

    (f composed f) = the function f composed with itself

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    Solution Preview

    f composed f = fof = f(f(x)
    according to the question,
    f(f(x)) = f(x)
    What does this mean? => It implies that whatever is the value of function f at x, the same value ...

    Solution Summary

    The differentiability of a given function is examined. Differentiable functions are found.