Math Olympiad, I.S.I. Entrance and College Mathematics › Forums › Math Olympiad, I.S.I., C.M.I. Entrance › problem on fixed points
- July 10, 2018 at 10:18 pm #21678
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.July 10, 2018 at 10:24 pm #21681
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