APFIVE Average Value on a Combined Interval
The average value of a function $$f$$ on the interval $$[1, 3]$$ is $$5$$, and its average value on the interval $$[3, 7]$$ is $$2$$. What is the average value of $$f$$ on the interval $$[1, 7]$$?
A
$$3$$
B
$$7$$
C
$$\displaystyle \frac{7}{2}$$
D
$$\displaystyle \frac{5}{2}$$
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