Question

The domain of the function $f\left(x\right)=\frac{1}{1-\left\{x\right\}}$ is
(where $\{.\}$ denotes the fractional part of $x$)

• A. $\varphi$
• B. $[0,1)$
• C. $R$
• D. $R-Z$

Answer 1

The correct option is C $R$

$f\left(x\right)=\frac{1}{1-\left\{x\right\}}$
For the function to be defined,
$1-\left\{x\right\}\ne 0$
As $\left\{x\right\}\in [0,1)$, so
$D_f=R$