https://file.aiquickdraw.com/mathbot/file/1727200468190ejpuwdmn.jpg

The given function \( f(x) \) from the image is:

\[
f(x) = \frac{4 - 3x - x^2}{x^2 - 1}
\]

Would you like to solve this equation, analyze its properties (like asymptotes or domain), or find something specific, such as the derivative or integral?

Here are a few possible next steps:
1. Simplify the function and identify any factorization.
2. Find the domain of \( f(x) \).
3. Identify any vertical or horizontal asymptotes.
4. Take the derivative to analyze the function’s behavior.
5. Find the critical points and analyze them for extrema.

**Tip**: If the denominator equals zero, the function is undefined at those points, which could help you find vertical asymptotes or restrictions in the domain.

Simplify or analyze the function f(x) = (4 - 3x - x^2) / (x^2 - 1)

Learn how to simplify and analyze the rational function f(x) = (4 - 3x - x^2) / (x^2 - 1). This includes factoring quadratics, identifying vertical and horizontal asymptotes, and exploring the domain of the function. Suitable for high school algebra students in Grades 9-12.

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