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If f:[1,oo)to[1,oo) is given by f(x)=x+(...

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

A

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

B

`(1)/(2)(1+sqrt(1+log _(2) x))`

C

` ((1)/(dot(2)))(1-sqrt(1+4 log _(2) x))`

D

not defined

Text Solution

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The correct Answer is:
B
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