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

Steps:

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

2. Swap $x$ and $y$ to solve for the inverse: $x = 2y - 10$

3. Solve for $y$ (the inverse function): $x + 10 = 2y$ $y = \frac{x + 10}{2}$

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

Would you like more details or have any questions?

Here are 5 related questions:

1. How can we verify that two functions are inverses of each other?
2. What is the domain and range of the inverse function?
3. How would the graph of a function and its inverse look like?
4. What are the properties of inverse functions in general?
5. Can every function have an inverse?

Tip: The graph of a function and its inverse are symmetric about the line $y = x$.