Functions Question 575
Question: If $ f:R\to R $ and $ g:R\to R $ are given by $ f(x)=\ |x| $ and $ g(x)=\ |x| $ for each $ x\in R $ , then $ {x\in R\ :g(f(x))\le f(g(x))}= $
[EAMCET 2003]
Options:
A) $ Z\cup (-\infty ,\ 0) $
B) $ (-\infty ,0) $
C) Z
D) R
Show Answer
Answer:
Correct Answer: D
Solution:
$ g(f(x))\le f(g(x)) $
Þ $ g(|x|)\le f[x] $
Þ $ [|x|],=,|[x]| $ .
This is true for $ x\in R. $ .
BETA
