1. The problem asks to find the inverse of the function $f(x)$ given by the table: | $x$ | $f(x)$ | |-----|--------| | -2 | 3 | | 0 | -8 | | 1 | 2 | | 2 | 4 | The inverse function $f^{-1}(x)$ swaps the roles of $x$ and $f(x)$, so the pairs become $(f(x), x)$. 2. Writing the inverse function table: | $x$ | $f^{-1}(x)$ | |-----|-------------| | 3 | -2 | | -8 | 0 | | 2 | 1 | | 4 | 2 | 3. To find $f(0)$, look at the original function table where $x=0$, so $f(0) = -8$. 4. To find $f^{-1}(2)$, look at the inverse function table where $x=2$, so $f^{-1}(2) = 1$. Final answers: - Inverse function table as above. - $f(0) = -8$ - $f^{-1}(2) = 1$