Functions Question 377
Question: The domain of the function $ f(x)=\frac{1}{\sqrt{| x |-x}} $ is
Options:
A) $ (0,\infty ) $
B) $ (-\infty ,0) $
C) $ (-\infty ,\infty )-{0} $
D) $ (-\infty ,\infty ) $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ f(x)=\frac{1}{\sqrt{| x |-x}}, $ define if $ | x |-x>0 $
$ \Rightarrow | x |>x,\Rightarrow x<0 $ Hence domain of $ f(x) $ is $ (-\infty ,0) $
BETA
