EDB β€” 095

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Exercises

  1. [095] Show that there is a function \(f:ℝ→ℝ\) such that \(f(f(x))=-x\). Is there a continuous function for which \(f(f(x))=-x\)? (Hint: show that for every such \(f\) you have \(f^{-1}(\{ 0\} )=\{ 0\} \)).

    Solution 1

    [096]

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Authors: Mantegazza, Carlo ; "Mennucci , Andrea C. G." .
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