# How do you simplify and find the restrictions for (x-1)/( (x-3)(x+1))?

Dec 8, 2017

$x \ne 3 , - 1$

#### Explanation:

$\text{the rational function is already in simplest form}$

$\text{the restrictions are any values of x that would make the}$
$\text{rational function undefined}$

$\text{equating the denominator to zero and solving gives the}$
$\text{values that x cannot be}$

$\text{solve } \left(x - 3\right) \left(x + 1\right) = 0$

$\Rightarrow x = 3 , x = - 1 \leftarrow \textcolor{red}{\text{are restricted values}}$