The domain of the function f(x) = 1 | x| is - Vidyadip

MCQ

The domain of the function $f(x) = \sqrt {\log \frac{1}{{|\sin x|}}} $ is

A
$R - \{ 2n\pi ,\;n \in I\} $
✓
$R - \{ n\pi ,\;n \in I\} $
C
$R - \{ - \pi ,\;\pi \} $
D
$( - \infty ,\;\infty )$

✓

Answer

Correct option: B.

$R - \{ n\pi ,\;n \in I\} $

b
(b) $f(x) = \sqrt {\,\log \frac{1}{{|\sin x|}}} $

==> $3 + x > 0$==> $x \ne n\pi + {( - 1)^n}0$

==> $x \ne n\pi $. Domain of $f(x) = R - \{ n\pi ,\,\,n \in I\} $.

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