Question

The domain of the function $f\left(x\right)=\ln \left\{x\right\}$ is
(where {.} represents fractional part function)

• A. $R-Z$
• B. $R$
• C. $R^{+}$
• D. $R-W$

Answer 1

The correct option is A $R-Z$

$f\left(x\right)=\ln \left\{x\right\}$
For $f\left(x\right)$ to be defined $\left\{x\right\}>0$
We know that, $\left\{x\right\}\in [0,1)$ and
$\left\{x\right\}=0$ when $x\in Z$

$\therefore$ The domain of the function $\ln \left\{x\right\}$ is $R-Z$