- #1
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aite, here goes f(f(x)=f(x), find all functions that satisfy this on [0,1], i know f(x)=x and f(x)=c satisfy this equation, but I am looking for something more outlandish, feel free to make it discontinuous, define it separately over the rationals and irrationals, or any sort of crazy function, i have no clue about the answer, just thought it was an interesting question