If f (x) = |x – 2| And g(x) = f (f (x)), Then For x > 20, g’(x) Is Equal To

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Question

If f (x) = |x – 2| and g(x) = f (f (x)), then for x > 20, g’(x) is equal to

Solution

Correct option is

1

Since (x) = |x – 2| = x – 2 for x > 2, we have g(x) = ((x))

                 = f (x – 2) = x – 4 for x > 4. Hence g’(x) = 1 for x > 20.

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