Find the Domain g(x)=10/(x+7)

$g (x) = \frac{10}{x + 7}$

Step 1

Set the denominator in $\frac{10}{x + 7}$ equal to $0$ to find where the expression is undefined.

$x + 7 = 0$

Step 2

Subtract $7$ from both sides of the equation.

$x = - 7$

Step 3

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

Interval Notation:

$(- \infty, - 7) \cup (- 7, \infty)$

Set-Builder Notation:

${x | x \neq - 7}$

Step 4