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

If `f(x)=sinx+cosx `and `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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