Question

find the domain of the rational expression.

\\f(x) = \frac{2}{x^2 + 2x - 24}\\

the domain is box. (type your answer in interval notation.)

Explanation:

Set the denominator to not equal zero

$$ x^2 + 2x - 24 e 0 $$

Factor the quadratic expression

$$ (x + 6)(x - 4) e 0 $$

$$ x e -6 \quad \text{and} \quad x e 4 $$

Express the domain in interval notation

$$ (-\infty, -6) \cup (-6, 4) \cup (4, \infty) $$

Answer:

Find the domain of the rational expression.
\(f(x) = \frac{2}{x^2 + 2x - 24}\)

The domain is <blank>\((-\infty, -6) \cup (-6, 4) \cup (4, \infty)\)</blank>. (Type your answer in interval notation.)