Question: I am looking for a function f define on R I have shown that this function checks: (f(x) + f^-1(x))/2=x With f^-1(x) the inverse

I am looking for a function f define on R I have

I am looking for a function f define on R I have shown that this function checks: (f(x) + f^-1(x))/2=x With f^-1(x) the inverse of f am I allowed to say that f (x) = x + c? If so how do I show it (edited)

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