Consider, \( f(x)=\tan ^{-1}\left(\frac{2}{x}\right), g(x)=\sin ^{-1}\left(\frac{2}{\sqrt{4+x^{2...

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Consider, \( f(x)=\tan ^{-1}\left(\frac{2}{x}\right), g(x)=\sin ^{-1}\left(\frac{2}{\sqrt{4+x^{2}}}\right) \) and \( h(x)=\tan \left(\cos ^{-1}(\sin x)\right) \). Identify the correct statement \( (\mathrm{s}) \) :
(a) For \( x0,(h(f(x))+h(g(x))) \) is equal to \( \frac{4}{x} \)
(b) For \( x0,(h(f(x))+h(g(x))) \) is equal to 0
(c) For \( x0,(h(f(x))+h(g(x))) \) is equal to \( x \)
(d) For \( x0,(h(f(x))+h(g(x))) \) is equal to \( \frac{x}{4} \)
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