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Q.The range of f(x)=sin⁡(sin⁡−1x+cos⁡−1x)+cos⁡(sin⁡−1x+cos⁡−1x)f(x) = \sin(\sin^{-1} x + \cos^{-1} x) + \cos(\sin^{-1} x + \cos^{-1} x) is

a
[2,2][\sqrt{2},2]
b
[1,2][1,\sqrt{2}]
c
[0,2][0,2]
d
[−2,2][-\sqrt{2},\sqrt{2}]

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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