Question

find the domain of the rational expression.

\\f(x) = \frac{1}{x^2 + 2x - 35}\\

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

Explanation:

Set the denominator to not equal zero

Using the Domain of Rational Functions knowledge point

$$ x^2 + 2x - 35 e 0 $$

Factor the quadratic expression

Using the Polynomial Factoring knowledge point

$$ (x + 7)(x - 5) e 0 $$

Solve for the excluded values

Using the Domain of Rational Functions knowledge point

$$
LATEXBLOCK0
$$

Express the domain in interval notation

Using the Interval Notation knowledge point

$$ (-\infty, -7) \cup (-7, 5) \cup (5, \infty) $$

Answer:

Find the domain of the rational expression.

\(f(x) = \frac{1}{x^2 + 2x - 35}\)

The domain is <blank>\((-\infty, -7) \cup (-7, 5) \cup (5, \infty)\)</blank>. (Type your answer in interval notation.)