Neka je
funkcija za koju vrijedi:
Odredite sve
za koje
Let
be a function such that:
Determine all
such that
.
[lang=hr]
Neka je $\sigma: \mathbb{R} \rightarrow \mathbb{R}$ funkcija za koju vrijedi:
$$\sigma(\sigma(x)) = \sigma(x) + x$$
Odredite sve $x \in \mathbb{R}$ za koje $\sigma(\sigma(x)) = 0$
[/lang]
[lang=en]
Let $\sigma: \mathbb{R} \rightarrow \mathbb{R}$ be a function such that:
$$\sigma(\sigma(x)) = \sigma(x) + x.$$
Determine all $x \in \mathbb{R}$ such that $\sigma(\sigma(x)) = 0$.
[/lang]
