To clarify, the given function can be written as:

\[
F(x) = \frac{x^2 - 1}{x}
\]

We can simplify this by breaking up the terms:

\[
F(x) = \frac{x^2}{x} - \frac{1}{x}
\]

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

This is the simplified form of the function \( F(x) \).

Would you like me to proceed with further analysis of this function, such as finding its derivative or other properties?

### Relative Questions:
1. What is the derivative of \( F(x) = x - \frac{1}{x} \)?
2. What are the critical points of \( F(x) \)?
3. How would you find the vertical and horizontal asymptotes of \( F(x) \)?
4. What is the domain of \( F(x) = x - \frac{1}{x} \)?
5. What is the integral of \( F(x) = x - \frac{1}{x} \)?

### Tip:
When simplifying expressions involving fractions, always look for ways to break them down into simpler terms by separating the numerators and denominators if possible.

Explore how to simplify the rational function F(x) = (x^2 - 1) / x into F(x) = x - 1/x. This step-by-step guide covers key algebraic concepts such as rational functions and simplification techniques. Perfect for students in Grades 9-11.

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