Neka
tako da
Odredite
. Napomena: u pisanju rješenja ignorirajte
.
Let
be a function such that:
Determine
. Note: In writing the solution, ignore
.
[lang=hr]
Neka $\sigma: \mathbb{R} \backslash \left<-2, 2\right>\rightarrow \mathbb{R}$ tako da
$$\sigma(x + \frac{1}{x}) = x^3 + \frac{1}{x^3} \quad, x \neq 0$$
Odredite $\sigma(x)$. Napomena: u pisanju rješenja ignorirajte $\sigma(1)$.
[/lang]
[lang=en]
Let $\sigma: \mathbb{R} \backslash \left<-2, 2\right> \rightarrow \mathbb{R}$ be a function such that:
$$\sigma\left(x + \frac{1}{x}\right) = x^3 + \frac{1}{x^3}, \quad x \neq 0.$$
Determine $\sigma(x)$. Note: In writing the solution, ignore \(\sigma(1)\).
[/lang]
