If \( F:[1, \infty) \rightarrow[2, \infty) \) is given by \( f(x)=x...

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If \( F:[1, \infty) \rightarrow[2, \infty) \) is given by \( f(x)=x+1 / x \), then
\( \mathrm{P} \)
\( f^{-1}(x) \) equals.
W
(1) \( \frac{x+\sqrt{x^{2}-4}}{2} \)
(2) \( \frac{x}{1+x^{2}} \)
(3) \( \frac{x-\sqrt{x^{2}-4}}{2} \)
(4) \( 1+\sqrt{x^{2}-4} \)
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