To find the inverse of the function $y = x + 2$, follow these steps:

1. Rewrite the equation with $x$ and $y$ swapped (since the inverse essentially swaps the roles of $x$ and $y$): $x = y + 2$

2. Solve for $y$: $y = x - 2$

The inverse function is: $y = x - 2$

This is in the form $ax + b$, where $a = 1$ and $b = -2$.

Would you like further details or explanations?

Here are some related questions to explore:

1. What is the graphical relationship between a function and its inverse?
2. How do you determine if two functions are inverses of each other?
3. What happens to the domain and range when finding the inverse of a function?
4. How do inverse functions apply to real-world problems?
5. How would the process change for a function $y = mx + b$ with a different slope?

Tip: When graphing a function and its inverse, they will always be symmetric about the line $y = x$.