Answer
Domain of $f^{-1}$ = range of $f$ = $(-2,1]$
Range of $f^{-1}$ = domain of $f$ = $[-1,3)$
Work Step by Step
Follow the instructions:
1. Draw a line through (0,0) and ($3,3$): $y=x$.
2. Select endpoints from the graph of f, and reflect them across $y=x.$
3. Join the new points with line segments: graph of $f^{-1}(x)$
Domain of $f^{-1}$ = range of $f$ = $(-2,1]$
Range of $f^{-1}$ = domain of $f$ = $[-1,3)$