SOLUTION: if there a function g that satifies f o g = g o f = f for all funtions? If so, what is it?

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Question 425516: if there a function g that satifies f o g = g o f = f for all funtions? If so, what is it?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If g(f(x)) = f(x) for all x, we can conclude that g(x) leaves x unchanged, so g(x) = x.