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let-give-f-x-2-x-2-x-x-find-f-1-x-and-calculate-f-1-x-




Question Number 32989 by abdo imad last updated on 09/Apr/18
let give f(x)=(((√(2+x)) −(√(2−x)) )/x)  find f^(−1) (x) and calculate (f^(−1) (x))^′   .
$${let}\:{give}\:{f}\left({x}\right)=\frac{\sqrt{\mathrm{2}+{x}}\:−\sqrt{\mathrm{2}−{x}}\:}{{x}} \\ $$$${find}\:{f}^{−\mathrm{1}} \left({x}\right)\:{and}\:{calculate}\:\left({f}^{−\mathrm{1}} \left({x}\right)\right)^{'} \:\:. \\ $$

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