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Find all differentiable functions.

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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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 diffrentiabilty of a given function is examined.