To find the inverse of a function, let's denote the function as $f(x)$ and follow these general steps:

1. Replace $f(x)$ with $y$: Write $y = f(x)$.
2. Switch $x$ and $y$: Replace $y$ with $x$ and $x$ with $y$.
3. Solve for $y$: Rearrange the equation to isolate $y$ in terms of $x$.
4. Rewrite as $f^{-1}(x)$: The resulting expression for $y$ is the inverse function $f^{-1}(x)$.

If you can specify the function(s) from your image or provide details on the types of functions, I’ll walk you through the inverse calculations for each one.

Would you like detailed assistance on specific functions?

Here are some questions related to finding inverse functions:

1. What is an inverse function, and how does it relate to the original function?
2. What types of functions do not have inverses?
3. How does the graphical representation of a function and its inverse differ?
4. How do you verify if two functions are inverses of each other?
5. What role does the horizontal line test play in determining if a function has an inverse?

Tip: Always remember that only one-to-one functions have inverses that are also functions.