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Question

If fx=x-3 and gx=fof x, then for x > 10, g ' (x) is equal to
(a) 1
(b) −1
(c) 0
(d) none of these

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Solution

(c) 0

For, x>10fx=x-3=x-3gx=fof x=x-3-3 =x-3-3 =x-6g'x =1

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