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. $