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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

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

D

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

Text Solution

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The correct Answer is:
A
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