The problem asks to find the inverse of the function $f(x) = 10x + 6$.

To find the inverse, follow these steps:

1. Start with the given function: $f(x) = 10x + 6$

2. Replace $f(x)$ with $y$: $y = 10x + 6$

3. Swap $x$ and $y$ to solve for the inverse: $x = 10y + 6$

4. Solve for $y$: $x - 6 = 10y$ $y = \frac{x - 6}{10}$

So, the inverse function is: $f^{-1}(x) = \frac{x - 6}{10}$

Would you like more details on this process or have any other questions?

Here are 5 related questions you might find interesting:

1. How do you find the inverse of a quadratic function?
2. Can every function have an inverse?
3. How can you verify if two functions are inverses of each other?
4. What are the graphical interpretations of a function and its inverse?
5. How does the concept of an inverse function apply in real-world situations?

Tip: To verify that two functions are inverses, check if $f(f^{-1}(x)) = x$ and $f^{-1}(f(x)) = x$.