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If f: [1, oo) rarr [5, oo) is given by f...

If `f: [1, oo) rarr [5, oo)` is given by `f(x) = 3x + (2)/(x)`, then `f^(-1) (x) =`

A

`(1)/(6) [x + sqrt(x^(2) - 24)]`

B

`(x)/(3x^(2) + 2)`

C

`(1)/(6) [x -sqrt(x^(2) - 24)]`

D

`(1)/(2) [1 + sqrt(x^(2) -4)]`

Text Solution

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The correct Answer is:
A
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