Functions Question 536

Question: If $ f(x)=| x-2 | $ and $ g(x)=f[f(x)], $ Then for $ x>20,g’(x) $ is equal to

Options:

A) $ -1 $

B) 1

C) 2

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ g(x)=f[f(x)]=f[| x-2 |]=f(x-2) $ as $ x>20 $ $ =| x-2-2 |=x-4\therefore g’(x)=1. $