https://r2.erweima.ai/mathbot/image/1725988906155706su551.jpg

It appears that the image text extraction was not successful. However, based on the visible equation, the expression seems to be:

\[
S(t) = \sqrt{\frac{t + 2}{t - q}}
\]

To solve or analyze this, could you please specify the operation you'd like to perform? For example:
- Find the domain of \( S(t) \)?
- Simplify or differentiate it?

Let me know how you'd like to proceed! 

### Here are 5 possible questions based on this expression:
1. What is the domain of \( S(t) \)?
2. How do we differentiate \( S(t) \) with respect to \( t \)?
3. Can we evaluate \( S(t) \) at a specific value of \( t \), like \( t = 1 \)?
4. How does \( S(t) \) behave as \( t \to \infty \)?
5. What happens to \( S(t) \) if \( q = 2 \)?

### Tip:
When dealing with square root functions, always check the conditions for the expression inside the root to ensure it is non-negative.

Solve the equation: S(t) = sqrt((t + 2) / (t - q))

Explore how to solve the function S(t) = sqrt((t + 2) / (t - q)). Learn about key algebraic concepts, including square roots, rational functions, and finding the domain of the expression. Suitable for students in Grades 10-12.

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