EDB — 095

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]↺↻