Question Number 135780 by bramlexs22 last updated on 15/Mar/21
$${If}\:{g}\left(\mathrm{0}\right)=\mathrm{2}\:,\:{g}\:'\left(\mathrm{0}\right)=\mathrm{1}\:{and}\: \\ $$$${f}\left({x}\right)\:=\:{e}^{\mathrm{2}{x}} {g}\left({x}\right).\:{What}\:{the}\:{value} \\ $$$${of}\:{f}^{−\mathrm{1}} \left(\mathrm{2}\right). \\ $$
Commented by bramlexs22 last updated on 16/Mar/21
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Answered by benjo_mathlover last updated on 16/Mar/21
$$\left(\mathrm{1}\right)\:{f}\left(\mathrm{0}\right)\:=\:\mathrm{1}.\mathrm{2}\:\Rightarrow{f}^{−\mathrm{1}} \left(\mathrm{2}\right)=\mathrm{0}\: \\ $$🤔