If F :[1,oo)->[2,oo) is given by f(x)=x+...

If `F :[1,oo)->[2,oo)` is given by `f(x)=x+1/x ,t h e n \ f^(-1)(x)` equals ` \ \ `

A

`(x+ sqrt(x^(2)-4))/(2)`

B

`(x)/(1+x^(2))`

C

`1+ sqrt(x^(2)-4)`

D

`(x- sqrt(x^(2)-4))/(2)`

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