Precalculus Examples

$\frac{x^{2} - x y}{y} \cdot \frac{y^{2}}{x}$

Step 1

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

$y = 0$

Step 2

Set the denominator in $\frac{y^{2}}{x}$ equal to $0$ to find where the expression is undefined.

$x = 0$

Step 3

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

Interval Notation:

$(- \infty, 0) \cup (0, \infty)$

Set-Builder Notation:

${x | x \neq 0}$