Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y = g(x). (c) Find y = f(g(x)) and y = g(f(x)). Are these two composite functions equal? Explain your answer.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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Problem 2
Let f(x) = and g(x) = /3x +2.
(a) Find the domain of y = f(x).
(b) Find the domain of y = g(x).
(c) Find y = f(g(x)) and y = g(f(x)). Are these two composite functions equal? Explain your answer.
Transcribed Image Text:Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y = g(x). (c) Find y = f(g(x)) and y = g(f(x)). Are these two composite functions equal? Explain your answer.
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