If \( \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)+\cos ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right)=...

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If \( \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)+\cos ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right)=4 \tan ^{-1} x \), then
(A) \( x \in-(-\infty,-1) \)
(B) \( x \in(1, \infty) \)
(C) \( x \in[0,1] \)
(D) \( x \in[-1,0) \)
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