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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 \( f^{-1}(f(x)) = x \).

Jika f(x) = 1/x, berapakah nilai invers dari fungsi tersebut?

Discover how to find the inverse of the function f(x) = 1/x. This problem covers key algebraic concepts, specifically inverse functions, and is suitable for high school students in Grades 10-12. Learn why the inverse of this function is the same as the original function.

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