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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 Summary

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

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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 provided by:
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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