Answer
$\frac{x+2}{3}=f^{-1}(x)$
Work Step by Step
To find the inverse: rewrite $f(x)$ as $y$, then exchange $x$ and $y$, and finally solve the equation for $y$.
Hence here: $y=3x-2\\x=3y-2\\x+2=3y\\y=\frac{x+2}{3}=f^{-1}(x)$
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