Questions tagged [functional-square-root]

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functional square root problem - Solution with "Chain Solution". - 2 example problems: $f(f(x))=x^2-2$, $f(f(x))-x^2+x+3=0$ + 1 more problem

Is there a function / Are there such functions $f: \mathbb{R} \to \mathbb{R}$ which satisfies $f(f(x))=x^2-2$? My Solution: \begin{align} &\text{Let's look for $t_2$ which satisfies } f^2(t_2)=...
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