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Let f(x) = sinx + cosx, g(x) =x^(2)-1. T...

Let `f(x) = sinx + cosx, g(x) =x^(2)-1`. Then `g(f(x))` is invertible for `x in `

A

`[-pi/2,0]`

B

`[-pi/2,pi]`

C

`[-pi/4,pi/4]`

D

`[0,pi/2]`

Text Solution

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The correct Answer is:
C
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