Precalculus Examples

$\frac{2 t (t + 1)}{t - 1} - \frac{3 + t}{t - 1}$

Step 1

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

$t - 1 = 0$

Step 2

Add $1$ to both sides of the equation.

$t = 1$

Step 3

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

Interval Notation:

$(- \infty, 1) \cup (1, \infty)$

Set-Builder Notation:

${t | t \neq 1}$

Step 4