The image contains the following problem:

Given the function $f(x) = \frac{1}{x}$, the question asks for the inverse of this function.

Steps to find the inverse of $f(x) = \frac{1}{x}$:

1. Write the function as $y = \frac{1}{x}$.
2. Swap $x$ and $y$ to find the inverse: $x = \frac{1}{y}$
3. Solve for $y$: $y = \frac{1}{x}$

Thus, the inverse of $f(x) = \frac{1}{x}$ is: $f^{-1}(x) = \frac{1}{x}$

So, the inverse function is the same as the original function.

Would you like further explanation or any additional details?

Here are five related questions:

1. What are the conditions for a function to have an inverse?
2. How do you check if a function is its own inverse?
3. What is the graphical relationship between a function and its inverse?
4. Can a function have more than one inverse?
5. How does the domain and range of a function affect its inverse?

Tip: To verify that a function and its inverse are correct, you can check that $f(f^{-1}(x)) = x$ and $f^{-1}(f(x)) = x$.