Precalculus Examples

$h (z) = z^{8} + z^{- 8}$

Step 1

Set the base in $z^{- 8}$ equal to $0$ to find where the expression is undefined.

$z = 0$

Step 2

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

Interval Notation:

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

Set-Builder Notation:

${z | z \neq 0}$

Step 3