Question Number 166135 by mkam last updated on 13/Feb/22
![find the domain of f(x) = (1/([x]−1))](Q166135.png)
$${find}\:{the}\:{domain}\:{of}\:{f}\left({x}\right)\:=\:\frac{\mathrm{1}}{\left[{x}\right]−\mathrm{1}} \\ $$
Commented by mkam last updated on 13/Feb/22
$$????? \\ $$
Answered by Mathspace last updated on 14/Feb/22
![[x]=1⇔1≤x<2 ⇒D_f =R−[1,2[](Q166153.png)
$$\left[{x}\right]=\mathrm{1}\Leftrightarrow\mathrm{1}\leqslant{x}<\mathrm{2}\:\Rightarrow{D}_{{f}} ={R}−\left[\mathrm{1},\mathrm{2}\left[\right.\right. \\ $$