If is given by

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

If f:[1,∞)→[2,∞)f:[1,\infty)\to[2,\infty) is given by f(x)=x+1xf(x)=x+\frac{1}{x}, then f−1(x)f^{-1}(x) equals (1) x+x2−42\frac{x+\sqrt{x^2-4}}{2} (2) x1+x2\frac{x}{1+x^2} (3) x−x2−42\frac{x-\sqrt{x^2-4}}{2} (4) 1+x2−41+\sqrt{x^2-4}

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