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

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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MODERN PUBLICATION-FUNCTIONS-MULTIPLE CHOICE QUESTIONS (LEVEL -II)
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