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If f(x)=|x-2| and g(x)=f(f(x)), then g'(...

If `f(x)=|x-2| and g(x)=f(f(x)), then g'(x)"for "x gt 20,is`

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
` f{f(x)} = f(| x - 2|) = || x -2|-2|= x-4 " "[ because x gt 20 ] `
` rArr g(x) = x - 4 `
` therefore g'(x) = 1`
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