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estion 15 sider f (x) = , and g (x) = VE at is the Domain of the composition fog (x)? [0, 4) U (4, o0) (-0,2) U (2, 00) [0, 00) (2, 00) [0,2) U (2, 00)

estion 15 sider f (x) = , and g (x) = VE at is the Domain of the composition fog (x)? [0, 4) U (4, o0) (-0,2) U (2, 00) [0, 00) (2, 00) [0,2) U (2, 00)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question 15** Consider \( f(x) = \frac{1}{x-2} \) and \( g(x) = \sqrt{x} \). What is the Domain of the composition \( f \circ g \, (x) \)? Options: - ○ \([0, 4) \cup (4, \infty)\) - ○ \((-\infty, 2) \cup (2, \infty)\) - ○ \([0, \infty)\) - ○ \((2, \infty)\) - ○ \([0, 2) \cup (2, \infty)\) - ○ \((-\infty, 4) \cup (4, \infty)\)
Transcribed Image Text:**Question 15** Consider \( f(x) = \frac{1}{x-2} \) and \( g(x) = \sqrt{x} \). What is the Domain of the composition \( f \circ g \, (x) \)? Options: - ○ \([0, 4) \cup (4, \infty)\) - ○ \((-\infty, 2) \cup (2, \infty)\) - ○ \([0, \infty)\) - ○ \((2, \infty)\) - ○ \([0, 2) \cup (2, \infty)\) - ○ \((-\infty, 4) \cup (4, \infty)\)
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