The given function in the image is:

$f(x) = \frac{1}{1 - x^2}$

How can I assist you further? For example, I could:

1. Analyze the domain of the function.
2. Compute its derivative or integral.
3. Investigate the asymptotes and singularities.
4. Plot the graph of $f(x)$.
5. Solve equations involving $f(x)$.

Let me know how you'd like to proceed!

Related Questions:

1. What is the domain of $f(x) = \frac{1}{1-x^2}$?
2. What are the vertical and horizontal asymptotes of this function?
3. How do you differentiate $f(x)$?
4. How does the function behave as $x \to 1$ or $x \to -1$?
5. What is the Taylor series expansion for $f(x)$ near $x = 0$?

Tip:

When analyzing rational functions like $f(x) = \frac{1}{1-x^2}$, always start by identifying the domain and singularities where the denominator equals zero!