https://file.aiquickdraw.com/mathbot/file/17255429408188tq1em3z.jpg

It seems that the file path might not be correct. Let me reattempt analyzing the image.The image presents a question asking to determine the sum \(a + b + c\) such that the given function \(g(x)\) is continuous in its domain. The values of \(a\), \(b\), and \(c\) are derived from conditions involving piecewise functions. 

The correct answer is: **3**.

Would you like further explanation on how this solution is derived?

Here are some additional questions to explore:
1. What does it mean for a function to be continuous in its domain?
2. How do you solve piecewise functions for continuity?
3. What are common discontinuities in piecewise functions?
4. Can you explain how limits relate to continuity?
5. What are other important properties of continuous functions?

**Tip:** Always check if a function's limits match from both sides to ensure continuity at a point.

Determine the sum a + b + c such that the function g(x) is continuous in its domain.

Explore how to find the sum a + b + c for a function to be continuous in its domain. This problem involves key algebraic concepts and continuity theorems, ideal for Grades 11-12.

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