If \( f \) is a strictly decreasing function with range \( [a, b] \...

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If \( f \) is a strictly decreasing function with range \( [a, b] \), its domain is
(a) \( [b, a] \)
(b) \( \left[f^{-1}(a), f^{-1}(b)\right] \)
(c) \( \left[f^{-1}(b), f^{-1}(a)\right] \)
(d) \( [f(b), f(a)] \)
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