https://file.aiquickdraw.com/mathbot/file/1727641680937ukrnrn38.jpg

The given mathematical expression is:

\[
h(x) = \sqrt{\ln\left(\frac{x + 1}{x - 1}\right)}
\]

Let me know if you would like me to perform any specific analysis such as finding the domain, derivative, or any other operation on this function.

### Would you like details or have any questions?

### Here are 5 related questions you might find helpful:
1. What is the domain of \( h(x) \)?
2. What is the derivative \( h'(x) \)?
3. What is the behavior of \( h(x) \) as \( x \to \infty \) or \( x \to 1^+ \)?
4. Can \( h(x) \) be expressed in a different form or simplified further?
5. How does \( h(x) \) behave for negative values of \( x \)?

### Tip:
When dealing with logarithmic functions, always ensure the argument of the logarithm is positive to maintain real values in the domain.

What is the function h(x) as defined in the image?

Explore the function h(x) = sqrt(ln((x + 1)/(x - 1))) with detailed explanations. This problem involves logarithmic functions and domain analysis. Suitable for students in Grades 11-12.

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