Precalculus Examples

$\frac{1}{{(x - 2)}^{3}}$

Step 1

Set the denominator in $\frac{1}{{(x - 2)}^{3}}$ equal to $0$ to find where the expression is undefined.

${(x - 2)}^{3} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Set the $x - 2$ equal to $0$ .

$x - 2 = 0$

Step 2.2

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