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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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