If f:[1, oo)rarr[2, oo) is given by f(x)...

If `f:[1, oo)rarr[2, oo)` is given by `f(x)=x+(1)/(x)` then `f^(-1)(x)=`

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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