Answer
$f^{-1}(x) = \frac{x-3.6}{0.6}$
Work Step by Step
$f(x) = 0.6x + 3.6$
Let $f(x) = y$:
$y = 0.6x + 3.6$.
Switch the variables $x$ and $y$ to find the inverse and solve for $y$:
$x = 0.6y + 3.6$
$x - 3.6 = 0.6y$
$y = \frac{x-3.6}{0.6}$
$f^{-1}(x) = \frac{x-3.6}{0.6}$.