Question

which of the graphs below have domain \\((-\infty, -5) \cup (-5, \infty)\\)?

use the letters below the graphs to answer the following question.

graph(s) has/have domain \\((-\infty, -5) \cup (-5, \infty)\\).
(use a comma to separate answers as needed.)

Explanation:

Identify the domain restriction from the interval

$$ \text{Domain} = (-\infty, -5) \cup (-5, \infty) \implies x eq -5 $$

Analyze the vertical asymptotes of each graph

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Determine the matching graphs

$$ \text{Matching Graphs} = \text{B, C} $$

Answer:

Graph(s) <blank>B, C</blank> has/have domain \((-\infty, -5) \cup (-5, \infty)\).