Question Number 66715 by mr W last updated on 18/Aug/19
$${if}\:{f}\left({x}\right)=\frac{\mathrm{ln}\:\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)}{\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }} \\ $$$${f}^{−\mathrm{1}} \left({x}\right)=? \\ $$
Commented by Tony Lin last updated on 19/Aug/19
Commented by Tony Lin last updated on 19/Aug/19
$${it}\:{seems}\:{that}\:{f}^{−\mathrm{1}} \left({x}\right)\:{may}\:{not}\:{exist} \\ $$
Commented by mr W last updated on 19/Aug/19
$${thanks}\:{for}\:{trying}\:{sir}! \\ $$
Commented by mathmax by abdo last updated on 19/Aug/19
$${f}^{−\mathrm{1}} \left({x}\right){exist}\:{but}\:\:{not}\:\:{simple}\:{to}\:{find}\:{it}. \\ $$