You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.
system
<image><image 1>The graph of y = f(x) is shown in the figure above. The shaded region A has area a and the shadedregion B has area b . If g(x) = f(x) +3 .what is the average value of g on the interval [-2,4]?
A. (a+b+3)/6
B. (-a+b+3)/6
C. (-a+b)/6+3
D. (a+b)/6+3

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
user
C
<image 1>The graph of y = f(x) is shown in the figure above. The shaded region A has area a and the shadedregion B has area b . If g(x) = f(x) +3 .what is the average value of g on the interval [-2,4]?
A. (a+b+3)/6
B. (-a+b+3)/6
C. (-a+b)/6+3
D. (a+b)/6+3

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
val