The first step in finding the equation of the inverse of a function is to switch the variables. If the function is written as $y = f(x)$, you will rewrite it as $x = f(y)$. This step reflects the idea that the inverse function reverses the roles of the input and output.

After switching the variables, the next steps typically involve solving for $y$, which gives you the expression for the inverse function $f^{-1}(x)$.

Would you like a more detailed explanation, or do you have any specific questions?

Here are 5 related questions to expand on this concept:

1. How do you verify that two functions are inverses of each other?
2. What is the graphical interpretation of the inverse of a function?
3. Can all functions have an inverse? Why or why not?
4. How do you find the inverse of a function involving logarithms or exponentials?
5. How is the domain and range affected when finding the inverse of a function?

Tip: Not all functions have inverses. A function must be bijective (both one-to-one and onto) to have an inverse.