Find the Domain y=((x-2)(x-1))/(x-2)

$y = \frac{(x - 2) (x - 1)}{x - 2}$

Step 1

Set the denominator in $\frac{(x - 2) (x - 1)}{x - 2}$ equal to $0$ to find where the expression is undefined.

$x - 2 = 0$

Step 2

Add $2$ to both sides of the equation.

$x = 2$

Step 3

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$(- \infty, 2) \cup (2, \infty)$

Set-Builder Notation:

${x | x \neq 2}$

Step 4