If \( f: R \rightarrow \mathrm{R} \) is an invertible function such that \( f(x) \) and \( f^{-1...

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If \( f: R \rightarrow \mathrm{R} \) is an invertible function such that \( f(x) \) and \( f^{-1}(x) \) are symmetric about the line \( y=-x \), then
(a) \( f(x) \) is odd.
(b) \( f(x) \) and \( f^{-1}(x) \) may not be symmetric about the line \( y=x \).
(c) \( f(x) \) may not be odd.
(d) None of these.
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