Precalculus Examples

$p (t) = \frac{2 t - 3}{t + 2}$

Step 1

Set the denominator in $\frac{2 t - 3}{t + 2}$ equal to $0$ to find where the expression is undefined.

$t + 2 = 0$

Step 2

Subtract $2$ from both sides of the equation.

$t = - 2$

Step 3

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

Interval Notation:

$(- \infty, - 2) \cup (- 2, \infty)$

Set-Builder Notation:

${t | t \neq - 2}$

Step 4