Answer
$g^{-1}(x) = 9^{x}$
Work Step by Step
$g(x) =\log_9 x$
Let $g(x) = y$
$y = \log_9 x$
Swap the $x$ and $y$ variable to find the inverse:
$x =\log_9 y$
$y =9^{x}$
$g^{-1}(x) = 9^{x}$
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