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) $ .