Match List-I with List-II. A. Domain of \(f(x)=\dfrac{1{\sqrt{x^2-1}}\), B. Range of \(f(x)=\dfrac{1}{\sqrt{x^2-1}}\), C. Domain of \(f(x)=\sqrt{x-2}\), D. Range of \(f(x)=\sqrt{x-2}\).}
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For \(\sqrt{g(x)}\), use \(g(x)\geq0\). For \(\frac{1}{\sqrt{g(x)}}\), use \(g(x)>0\).