New Home Forums Math Olympiad - IOQM problem on fixed points

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    Let \(f : R \to R\) be a polynomial function of degree 2 . We call \(x_0\) to be a fixed point of \(f\) , if \(x_o\) is a solution of the equation \(f(x)=x\) prove that if f and \(f o f\) have same value of extremum then f has atleast 2 fixed points.

     

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