# Find the inverse function if: g(x)=1+ln x

Find the inverse function if:
$g\left(x\right)=1+\mathrm{ln}x$
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Anaya Gregory
$y=1+\mathrm{ln}x$
to find inverse you switch x and y and solve for y
$x=1+\mathrm{ln}y$
$x-1=\mathrm{ln}y$
${e}^{x-1}=y$
${g}^{-1}\left(x\right)={e}^{x-1}$