Functions Question 619
Question: The domain of the function $ y=\frac{1}{\sqrt{|x|\ -x}} $ is
[Roorkee 1998; RPET 2000]
Options:
A) $ (-\infty ,\ 0) $
B) $ (-\infty ,\ 0] $
C) $ (-\infty ,\ -1) $
D) $ (-\infty ,\ \infty ) $
Show Answer
Answer:
Correct Answer: A
Solution:
For it must $ |x|-x>0 $ $ |x|>x $ but $ |x|=x $ for x positive and $ |x|>x $ for x negative. So, domain will be $ (-,\infty ,0) $ .