If f(x)=sin x + cos x, g(x)=x^(2)-1, the...

If `f(x)=sin x + cos x, g(x)=x^(2)-1`, then `g(f(x))` is invertible in the domain

A

`[0, pi/2]`

B

`[- pi/4, pi/4]`

C

`[ -pi/2, pi/2]`

D

`[0, pi]`

Verified by Experts

The correct Answer is:

B

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