1. **Problem:** Verify if the given inverse relations for the original functions are correct. 2. **Understanding Inverse Relations:** - The inverse of a function swaps the roles of $x$ and $y$. - If the original function is $f(x) = y$, then the inverse function $f^{-1}(y) = x$. - To check correctness, each pair $(x,y)$ in the original should correspond to $(y,x)$ in the inverse. 3. **Check for the first function:** - Original pairs: $(1,2), (2,0), (5,\pi), (9,-3)$ - Given inverse pairs: $(2,1), (0,2), (\pi,5), (-3,9)$ - Each pair is correctly swapped. 4. **Check for the second function:** - Original pairs: $(-3,12), (0,8), (e,5), (7,0)$ - Given inverse pairs: $(12,-3), (8,0), (5,e), (0,7)$ - Each pair is correctly swapped. **Final conclusion:** The given inverse relations are correct because each $(x,y)$ pair in the original corresponds exactly to $(y,x)$ in the inverse.