Consider the functions f(x)=4x-1 and g(x)=sq root of -x+7. Determine 1. f o g(x)  2. Give the domain of f o g(x) 3. g o f (x) 4. Give the domain of g o f(x)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
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Consider the functions f(x)=4x-1 and g(x)=sq root of -x+7. Determine

1. f o g(x) 

2. Give the domain of f o g(x)

3. g o f (x)

4. Give the domain of g o f(x)

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