Finite Math Examples

$\frac{z + 4}{z - 4}$

Step 1

Set the denominator in $\frac{z + 4}{z - 4}$ equal to $0$ to find where the expression is undefined.

$z - 4 = 0$

Step 2

Add $4$ to both sides of the equation.

$z = 4$

Step 3

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

Interval Notation:

$(- \infty, 4) \cup (4, \infty)$

Set-Builder Notation:

${z | z \neq 4}$

Step 4