To find the inverse of the function $f(x) = 2x - 10$, follow these steps:

1. Replace $f(x)$ with $y$:
   $y = 2x - 10$

2. Swap $x$ and $y$ (this is how we find the inverse):
   $x = 2y - 10$

3. Solve for $y$:

   $x + 10 = 2y$ $y = \frac{x + 10}{2}$

Thus, the inverse function is: $f^{-1}(x) = \frac{x + 10}{2}$

Would you like a more detailed explanation or have any further questions?

Here are some related questions:

1. How do you verify if two functions are inverses of each other?
2. What is the graphical relationship between a function and its inverse?
3. How would the inverse change if the original function was $f(x) = 3x - 10$?
4. What happens to the inverse function if you add a constant to $f(x)$?
5. How do you find the inverse of more complex functions, such as quadratic functions?

Tip: A function's inverse reflects the original function across the line $y = x$.