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Answer :
Final answer:
The function is discontinuous at x = 6 and x = 9.
Explanation:
The function is discontinuous at values of x = 6 and x = 9. To find these values, we need to determine where the function changes its behavior. We see that for x < 6, the function is defined as 3. At x = 6, the function changes to x + 6, and at x = 9, the function changes again to 15. Therefore, the values of x = 6 and x = 9 are where the function is discontinuous.
The function is discontinuous at values of x = 6 and x = 9.
When x < 6, the function is defined as 3.
When 6 ≤ x ≤ 9, the function is defined as x + 6.
When x > 9, the function is defined as 15.
Therefore, at x = 6, there is a jump in the function from 3 to 6 + 6 = 12, making it discontinuous. Similarly, at x = 9, there is another jump from 9 + 6 = 15 to 15. Hence, those are the values of x where the function is discontinuous.
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