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Let $$f(x) = \log \mid x \mid$$ and $$g(x) = \sin x$$. If A is the range of $$f(g(x))$$ and B is the range of $$g(f(x))$$ then $$A \cap B$$ is
$$[-1, 0]$$
$$[-1, 0)$$
$$[-\infty, 0]$$
$$[-\infty, 1]$$
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