Answer
$f^{-1}(-2)=0$
Work Step by Step
The inverse of a function differs from the original function in that all the x-coordinates and y-coordinates have been switched.
To find the value of $f^{-1}(-2)$, we have to find the corresponding x-coordinate to $y=-2$ in the original $f(x)$ function and switch the coordinates.
We can see, that in $f(x)$, when $y=-2$, $x=0$.
Therefore $f^{-1}(-2)=0$.
