It looks like you've written a function, but there seems to be a small typo or formatting issue. Based on what you've provided, I'm assuming the function is meant to be:

\[ F(x) = \frac{x - 1}{x} \]

Is this correct? If so, here's a breakdown:

### Simplifying the Function
The function can be simplified by dividing both terms in the numerator by the denominator \( x \):

\[
F(x) = \frac{x - 1}{x} = \frac{x}{x} - \frac{1}{x} = 1 - \frac{1}{x}
\]

So, the simplified form of the function is:

\[
F(x) = 1 - \frac{1}{x}
\]

### Domain of the Function
The function is defined for all real numbers except \( x = 0 \), because division by zero is undefined.

### Asymptotes
- **Vertical Asymptote:** The function has a vertical asymptote at \( x = 0 \).
- **Horizontal Asymptote:** As \( x \) approaches infinity, \( F(x) \) approaches 1. So, \( y = 1 \) is a horizontal asymptote.

Would you like more details or have any other questions? Here are some related questions you might explore:

1. What is the derivative of \( F(x) = 1 - \frac{1}{x} \)?
2. How do you find the inverse of the function \( F(x) = 1 - \frac{1}{x} \)?
3. What is the graph of \( F(x) = 1 - \frac{1}{x} \) like?
4. How do you find the critical points of \( F(x) \)?
5. What are the intercepts of the function \( F(x) = 1 - \frac{1}{x} \)?

**Tip:** Understanding asymptotes and intercepts can help you sketch the graph of a function more accurately.

Explore the function F(x) = 1 - 1/x in detail, including its simplification process and asymptotes. Learn about its domain, vertical asymptote at x = 0, and horizontal asymptote at y = 1. Suitable for advanced high school students and anyone interested in rational functions.

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