Answer
$f^{-1}(-4)=-4$
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 $f^{-1}(-4)$, we have to find the corresponding x-coordinate to $y=-4$ in the original $f(x)$ function.
We can see that in the graph of $f(x)$, when$y=-4$, then $x=-4$.
Therefore $f^{-1}(-4)=-4$.