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Question Number 155231 by mnjuly1970 last updated on 27/Sep/21

$$$$$$f\left(x\right):=\sqrt{\frac{1}{a}+x}-\sqrt{\frac{1}{a}-x}$$$$and{\mathrm{D}}_f\ne \varnothing ,$$$$g\left(x\right)=\sqrt{\frac{ax-1}{f^{-1}(ax-a)}}$$$$find:{\mathrm{D}}_g=?$$

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