Q. The domain of the function $f(x) = \log_{e}{(x - \lbrack x\rbrack)}$ is
A) $R$
B) $R - Z$
C) $(0,\ + \infty)$
D) $Z$
Explanation
(b)
Given
$f(x) = \log_{e}{\left( x - \lbrack x\rbrack \right) = \log_{e}\left\{ x \right\}}$
When $x$ is an integer, then the function is not defined.
$\therefore$ Domain of the function $R - Z$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.