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Let f(x) be a function such that f '(x)=...

Let `f(x)` be a function such that `f '(x)= log _(1//3) (log _(3) (sin x+ a)).` The complete set of values of 'a' for which `f (x)` is strictly decreasing for all real values of x is:

A

`[4,oo)`

B

`[3,4]`

C

`(-oo,4)`

D

`[2,oo)`

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