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If f(x)=sinx+cosx, g(x)=x^(2)-1, then g...

If `f(x)=sinx+cosx, 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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