Functions Question 343
Question: The domain of the function $ f(x)=\sqrt{\log \frac{1}{|\sin x|}} $ is
[RPET 2001]
Options:
A) $ R-{2n\pi ,\ n\in I} $
B) $ R-{n\pi ,\ n\in I} $
C) $ R-{-\pi ,\ \pi } $
D) $ (-\infty ,\ \infty ) $
Show Answer
Answer:
Correct Answer: B
Solution:
$ f(x)=\sqrt{,\log \frac{1}{|\sin x|}} $
Þ $ 3+x>0 $
Þ $ x\ne n\pi +{{(-1)}^{n}}0 $
Þ $ x\ne n\pi $ . Domain of $ f(x) $ $ =\mathbb{R}-{n\pi ,|,n\in \mathbb{Z}} $ .
BETA
