To find the inverse function of $f(x) = x + 8$, follow these steps:

1. Start with the function: $y = f(x) = x + 8$

2. Swap $x$ and $y$: $x = y + 8$

3. Solve for $y$: Subtract 8 from both sides: $y = x - 8$

Thus, the inverse function is: $f^{-1}(x) = x - 8$

From the given options, the correct answer is:

• $y = x - 8$

Would you like more details, or do you have any questions?

Here are five related questions to expand your understanding:

1. What is the inverse function of $f(x) = x - 8$?
2. How do you find the inverse of a quadratic function?
3. What is the domain of the inverse function $f^{-1}(x) = x - 8$?
4. How do you verify that two functions are inverses of each other?
5. What are the properties of inverse functions?

Tip: Remember, the graph of a function and its inverse are reflections of each other across the line $y = x$.