Answer
$f(x)$ does not have an inverse
Work Step by Step
The graph of the function shown does not have an inverse because it is NOT a one-to-one function. For a function to be one-to-one, it must pass the horizontal line test, but in the graph shown, there are two x-values (x=3 and x=6) that lead to the same y-value 4. Thus, you can not find $f^{-1} (0)$ and $f^{-1} (4)$