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Match the following columns
P
W
Let \( f(x)=\frac{x}{x^{2}+1}, g(x)=\tan ^{-1} x-x \). Then
Column-I
Column-II
(1) \( f(x) \) is increasing in (P) \( (-\infty,-1] \)
(2) \( g(x) \) is increasing in (Q) \( [-1,1] \)
(3) \( f(x) \) is decreasing in (R) \( [1, \infty) \)
(4) \( g(x) \) is decreasing in (S) \( [0, \infty) \)
(T) \( \phi \)
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