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.