If f(x) = x + 3 and g(x) = x - 3, (a) f(g(x)): (b) g(f(æ)) = (c) Thus, g and f are functions.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 2SE: How do we determine the domain of a function defined by an equation?
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### Question 7

If \( f(x) = x + 3 \) and \( g(x) = x - 3 \),

(a) \( f(g(x)) = \, \_\_\_\_ \) 

(b) \( g(f(x)) = \, \_\_\_\_ \)

(c) Thus, \( g \) and \( f \) are \, \_\_\_\_ \, functions.
Transcribed Image Text:### Question 7 If \( f(x) = x + 3 \) and \( g(x) = x - 3 \), (a) \( f(g(x)) = \, \_\_\_\_ \) (b) \( g(f(x)) = \, \_\_\_\_ \) (c) Thus, \( g \) and \( f \) are \, \_\_\_\_ \, functions.
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