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Question

f(x)=|x-2|andg(x)=f(f(x)), x>20, then g'(x)=


A

1

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B

0

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C

9

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D

18

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Solution

The correct option is A

1


Explanation for the correct option.:

Differentiation of composite function:

In, f(x)=|x-2|, it is given that x>20, so f(x)=x-2.

Now,

g(x)=f(f(x))=fx-2=x-2-2=x-4

So, g'x=1

Hence, option A is correct.


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