# 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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#### Solution Preview

because,

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.

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