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Concept explainers
To fill:The intervalused to define domain of the composite function
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Answer to Problem 7AYU
Domain of the composite function
Explanation of Solution
Given information:
Domain of
Consider two sets A and B . If each element
The values of first coordinate
Therefore, the set of input values represent the domain and set of output values represent the range of the function.
Hence, set of all images of the elements in the domain of a function is defined as the range of the function.
For a composite function
Now,
And
So,
Therefore, domain of the composite function
Chapter 2 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Precalculus
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (4th 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
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