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)]`.If f(x) is decreasing for all real values of x, then a)`a in (1, 4)` b)`a in (4, oo)` c)`a in (2, 3)` d)`a in (2, oo)`

A

`a in (1, 4)`

B

`a in (4, oo)`

C

`a in (2, 3)`

D

`a in (2, oo)`

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The correct Answer is:

B

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