Functions Question 299
Question: Domain of $ f(x)=\log |\log x| $ is
[DCE 2002]
Options:
A) $ (0,\ \infty ) $
B) $ (1,\ \infty ) $
C) $ (0,\ 1)\cup (1,\ \infty ) $
D) $ (-\infty ,\ 1) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ f(x)=\log |\log x| $ , $ f(x) $ is defined if $ |\log x|>0 $ and $ x>0 $ i.e., if $ x>0 $ and $ x\ne 1 $ $ (\because ,|\log x|,>0ifx\ne 1) $
Þ $ x\in (0,,1)\cup (1,,\infty ). $
BETA
