To find the inverse of the given function $f(x) = x + 4$, follow these steps:

1. Replace $f(x)$ with $y$: $y = x + 4$

2. Swap $x$ and $y$: $x = y + 4$

3. Solve for $y$: Subtract 4 from both sides: $y = x - 4$

4. Replace $y$ with $f^{-1}(x)$: $f^{-1}(x) = x - 4$

Final Answer:

$f^{-1}(x) = x - 4$

Let me know if you'd like further clarification or additional examples!

Here are 5 related questions you can explore:

1. How can you verify that $f(x)$ and $f^{-1}(x)$ are inverses of each other?
2. What are the domain and range of $f(x) = x + 4$ and its inverse?
3. How does the graph of $f(x) = x + 4$ compare to its inverse $f^{-1}(x)$?
4. Can all functions have inverses? Why or why not?
5. How does the concept of one-to-one functions relate to invertibility?

Tip: To check your inverse, substitute $f(f^{-1}(x)) = x$ or $f^{-1}(f(x)) = x$. This confirms the functions are true inverses.