If f:[1,infty) rarr [2,infty) is given b...

If `f:[1,infty) rarr [2,infty)` is given by `f(x)=x+1/x, " then " 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)`

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The correct Answer is:

A

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