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f(x)=f(f(x))=f(x2). How many such functions with degree >2 exist

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ONE WAS LIKE 2 CARS START FROM A POINT X. CAR1 START AT 10 AM AND CAR2 AT SOME TIME. BOTH THE CARS GO TILL THEY REACH A T POINT. ONE TAKES LEFT OTHER RIGHT. IT WAS TO BE FOUND OUT HOW MUCH WAS THE DISTANCE BETWEEN THE 2 CARS AT 2 PM.

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