Concept explainers
To find: The domain of the given expression.
Answer to Problem 65E
Domain:
Explanation of Solution
Given information:
An expression is given as -
Concept used:
Domain of an expression is set of all real values of
Calculation:
Given expression is -
This function is defined only if
So, domain of the expression is given by −
Key numbers are
Test interval | Test | Expression value | Conclusion |
Negative | |||
Positive | |||
Negative | |||
Positive |
From above table, it can be concluded that inequality
Therefore, solution set for the given inequality will be
Graph of the solution set is drawn below.
Hence, domain of the given expression will be
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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