Answer
$\dfrac{x+2}{3}=f^{-1} (x)$
Work Step by Step
Our aim is to find the inverse of the function $f(x)$.
In order to this, we will rewrite $f(x)$ as $y$ and then exchange the variables x and y.
$f(x) =y=3x−2 \\ x=3y−2 \\ x+2=3y $
Now, solve the equation for $y$.
$y=\dfrac{x+2}{3}$
or, $f^{-1} (x)=\dfrac{x+2}{3}$
