Recent content by baconeater

Hello, think i have proved it but is the proof complete, is there any more i should do? Homework Statement Let f:[0,1] --> [0,1], f be continuous, f(0)=0, f(1)=1 and let f(f(x)) = x, for all x in [0,1] prove that f(x) = x. Homework Equations The Attempt at a Solution (*)...