Question Number 81301 by mr W last updated on 11/Feb/20
Commented by mr W last updated on 11/Feb/20
$${Find}\:{f}\left({x}\right)=? \\ $$$$\left({x}\in\mathbb{N}\right) \\ $$
Commented by jagoll last updated on 11/Feb/20
![f(x^2 )=x^2 [xf(x+1)+2(1−x^2 )]](Q81306.png)
$$\mathrm{f}\left(\mathrm{x}^{\mathrm{2}} \right)=\mathrm{x}^{\mathrm{2}} \:\left[\mathrm{xf}\left(\mathrm{x}+\mathrm{1}\right)+\mathrm{2}\left(\mathrm{1}−\mathrm{x}^{\mathrm{2}} \right)\right] \\ $$