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

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]`

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The correct Answer is:
B
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