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

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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