Precalculus Examples

$\frac{{(x - b)}^{2}}{{(x + b)}^{2}}$

Step 1

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

${(x + b)}^{2} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Set the $x + b$ equal to $0$ .

$x + b = 0$

Step 2.2

Subtract $b$ from both sides of the equation.

$x = - b$

Step 3

The domain is all real numbers.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$