The domain of the function y = 1 |x| ; - x is - Vidyadip

MCQ

The domain of the function $y = \frac{1}{{\sqrt {|x|\; - x} }}$ is

✓
$( - \infty ,\;0)$
B
$( - \infty ,\;0]$
C
$( - \infty ,\; - 1)$
D
$( - \infty ,\;\infty )$

✓

Answer

Correct option: A.

$( - \infty ,\;0)$

a
(a) For it must $|x| - x > 0$

$|x|\,\, > x$ but $|x|\,\, = x$ for $x $ positive and $|x|\,\, > x$ for $ x $ negative.

So, domain will be $( - \,\infty ,\,\,0)$.

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