If \( g(x) \) is a decreasing function on \( R \) and \( f(x)=\tan ^{-1}\{g(x)\} \). State wheth...

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If \( g(x) \) is a decreasing function on \( R \) and \( f(x)=\tan ^{-1}\{g(x)\} \). State whether \( f(x) \) is increasing or decreasing on \( R \).
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