# How do you find the domain of y=(x-1) / (x-2)?

May 16, 2017

$x \in \mathbb{R} , x \ne 2$
The denominator of y cannot be zero as this would make the function $\textcolor{b l u e}{\text{undefined}} .$Equating the denominator to zero and solving gives the value that x cannot be.
$\text{solve " x-2=0rArrx=2larrcolor(red)" excluded value}$
$\Rightarrow \text{domain is } x \in \mathbb{R} , x \ne 2$