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The smallest value of of the constant m ...

The smallest value of of the constant `m gt 0` for which `f(x) = 9mx - 1 + (1)/(x)ge 0` for all `x gt 0`, is

A

`1//9`

B

`1//16`

C

`1//36`

D

`1//81`

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The correct Answer is:
C
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