Precalculus Examples

$F (s) = \sin (\frac{s}{s + 6})$

Step 1

Set the denominator in $\frac{s}{s + 6}$ equal to $0$ to find where the expression is undefined.

$s + 6 = 0$

Step 2

Subtract $6$ from both sides of the equation.

$s = - 6$

Step 3

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

Interval Notation:

$(- \infty, - 6) \cup (- 6, \infty)$

Set-Builder Notation:

${s | s \neq - 6}$

Step 4