Find the Domain y=1/(x+6)

$y = \frac{1}{x + 6}$

Step 1

Set the denominator in $\frac{1}{x + 6}$ equal to $0$ to find where the expression is undefined.

$x + 6 = 0$

Step 2

Subtract $6$ from both sides of the equation.

$x = - 6$

Step 3

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

Interval Notation:

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

Set-Builder Notation:

${x | x \neq - 6}$

Step 4