Question

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Explanation:

Identify the rational function

Using the Domain of Rational Functions knowledge point

$$ f(x) = \frac{1}{x+2} + \frac{4}{x+10} $$

Determine the domain restrictions

Using the Domain of Rational Functions knowledge point

$$
LATEXBLOCK0
$$

Express the domain in interval notation

Using the Interval Notation knowledge point

$$ (-\infty, -10) \cup (-10, -2) \cup (-2, \infty) $$

Answer:

The domain of f(x) is <blank>\((-\infty, -10) \cup (-10, -2) \cup (-2, \infty)\)</blank>
(Type your answer in interval notation.)