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Question

If fx=sin2 x and the composite function gfx=sin x, then g(x) is equal to
(a) x-1
(b) x
(c) x+1
(d) -x

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Solution

(b)

If we take gx = x, thengfx = gsin2x = sin2x = ±sin x = sin x

So, the answer is (b).

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