![Precalculus Enhanced with Graphing Utilities](https://www.bartleby.com/isbn_cover_images/9780321795465/9780321795465_largeCoverImage.gif)
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 30AYU
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 30AYU
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 30AYU
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 30AYU
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
Precalculus
Precalculus (10th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus & Its Applications (14th Edition)
Thomas' Calculus: Early Transcendentals (14th 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)