To determine $f^{-1}(1)$, we need to understand that the inverse function $f^{-1}(y)$ gives the value of $x$ for which $f(x) = y$.

From the table, when $f(x) = 1$, we see that $x = -4$.

Thus, $f^{-1}(1) = -4$.

Would you like further details or have any questions?

Here are 5 related questions:

1. What is $f^{-1}(5)$ based on the table?
2. How do we define the inverse of a function?
3. What conditions must a function meet to have an inverse?
4. How do you interpret inverse functions in real-life applications?
5. Can all functions have an inverse?

Tip: For a function to have an inverse, it must be bijective—that is, both injective (one-to-one) and surjective (onto).