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In Problems 23-38, for the given functions and , find:
a.
b.
c.
d.
State the domain of each composite function.
;
![Check Mark](/static/check-mark.png)
To find:
a. for the given functions and , State the domain of each composite function.
;
Answer to Problem 32AYU
a. The domain of
Explanation of Solution
Given:
;
Calculation:
The domain of and the domain of are the set of all real numbers.
Because the domains of both and are the set of all real numbers, the domain of is the set of all real numbers.
We know the composite function of and is defined as
![Check Mark](/static/check-mark.png)
To find:
b. for the given functions and , State the domain of each composite function.
;
Answer to Problem 32AYU
b. The domain of
Explanation of Solution
Given:
;
Calculation:
The domain of and the domain of are the set of all real numbers.
Because the domains of both and are the set of all real numbers, the domain of is the set of all real numbers.
We know the composite function of and is defined as
Also
![Check Mark](/static/check-mark.png)
To find:
c. for the given functions and , State the domain of each composite function.
;
Answer to Problem 32AYU
c. The domain of
Explanation of Solution
Given:
;
Calculation:
The domain of and the domain of are the set of all real numbers.
Because the domains of both and are the set of all real numbers, the domain of is the set of all real numbers.
We know the composite function of and is defined as
Also
![Check Mark](/static/check-mark.png)
To find:
d. for the given functions and , State the domain of each composite function.
;
Answer to Problem 32AYU
d). The domain of
Explanation of Solution
Given:
;
Calculation:
The domain of and the domain of are the set of all real numbers.
Because the domains of both and are the set of all real numbers, the domain of is the set of all real numbers.
We know the composite function of and is defined as
Also
Chapter 5 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Precalculus (10th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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