To find the inverse of the given function $f(x) = 2x - 4$, follow these steps:

1. Replace $f(x)$ with $y$: $y = 2x - 4$

2. Swap $x$ and $y$ to find the inverse: $x = 2y - 4$

3. Solve for $y$: $x + 4 = 2y$ $y = \frac{x + 4}{2}$

Thus, the inverse function is: $f^{-1}(x) = \frac{x + 4}{2}$

Would you like further details or have any questions?

Here are five related questions:

1. How can you verify that two functions are inverses of each other?
2. What are the conditions for a function to have an inverse?
3. How does the graph of a function compare to its inverse?
4. Can all linear functions have an inverse?
5. What happens to the domain and range when finding the inverse?

Tip: Always check if a function is one-to-one (bijective) before finding its inverse; a function must be one-to-one to ensure the inverse exists.