https://file.aiquickdraw.com/mathbot/file/17267028547063opgn3eq.jpg

The image shows the function:

\[
f(x) = \ln(3 - x) + 2
\]

Would you like assistance with differentiating, finding critical points, or analyzing the behavior of this function? Let me know how you'd like to proceed!

Here are some related questions:
1. What is the domain of \( f(x) = \ln(3 - x) + 2 \)?
2. How do you compute the derivative of \( f(x) = \ln(3 - x) + 2 \)?
3. What are the critical points of \( f(x) \)?
4. How do you find the range of \( f(x) \)?
5. Can we determine concavity or inflection points for \( f(x) \)?

**Tip:** When working with logarithmic functions, always check for domain restrictions, especially ensuring that the argument of the logarithm is positive.

Explore the logarithmic function f(x) = ln(3 - x) + 2, including domain restrictions, derivative calculation, and critical point analysis. Learn how to apply logarithmic function rules and their derivatives for students in Grades 10-12.

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