Question

review passage
express the domain of the function using interval notation.
question
$g(x) = \frac{x - 6}{x + 2}$

Explanation:

Step1: Identify undefined input

For rational functions, denominator ≠ 0.
$x+2
eq 0$

Step2: Solve for excluded value

Isolate $x$ to find restriction.
$x
eq -2$

Step3: Write domain in intervals

All real numbers except $-2$.
$(-\infty, -2) \cup (-2, \infty)$

Answer:

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