Friday, 4 January 2019

Functional equation problem; chain of functions

I have tried more than an hour but couldn't solve it, can somebody please give me a clue?



f:RR



f(f(f(X)))+f(f(X))+X=3f(X).
Find f(X)



I know that f(X)=X is a solution, and I know that the function being (obviously) injective might help, but that's all the useful stuff I could gather.

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