If \( f(x)=x+\tan x \) and \( f \) is inverse of \( g \), then \( g...

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If \( f(x)=x+\tan x \) and \( f \) is inverse of \( g \), then \( g^{\prime}(x) \)
\( \mathrm{P} \) equals

W
(A) \( \frac{1}{1+[g(x)-x]^{2}} \)
(B) \( \frac{1}{2-[g(x)-x]^{2}} \)
(C) \( \frac{1}{2+[g(x)-x]^{2}} \)
(D) None of these
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