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Let $$f: [0, 4 \pi] \rightarrow [0, \pi]$$ be defined by $$f(x) = \cos^{-1} (\cos x).$$ The number of points $$x \in [0, 4 \pi]$$ satisfying the equation $$f(x) = \frac{10 - x}{10}$$ is
Correct Answer: 3
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