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If f''(x) gt forall in R, f(3)=0 and g(x...

If `f''(x) gt forall in R, f(3)=0 and g(x) =f(tan^(2)x-2tanx+4y)0ltxlt(pi)/(2)`,then g(x) is increasing in

A

`(a,b)` is range of `tanx`

B

`(a,b)` is range of `tan^(-1)x`

C

`(a,b)` is range of `tan^(-1)(sqrt(3-t)+1)`

D

`(a,b)` is range `tan^(-1)(1/(sqrt(3-t))+1)`

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