Question Number 194174 by tri26112004 last updated on 29/Jun/23
$${Know}\:{f}\left({x}^{−\mathrm{1}} \right)={f}^{−\mathrm{1}} \left({x}\right)\:\left({f}^{−\mathrm{1}} \left({x}\right)=\frac{\mathrm{1}}{{f}\left({x}\right)}\right) \\ $$$${Find}\:{f}\left({x}\right)¿ \\ $$
Answered by MM42 last updated on 29/Jun/23
$${f}\left({x}\right)×{f}\left(\frac{\mathrm{1}}{{x}}\right)=\mathrm{1}\Rightarrow{f}\left({x}\right)={x}^{{n}} \:\:\:\:\:;\:{n}\in\mathbb{R} \\ $$