(a)
To find: The domain of the function
(a)
Answer to Problem 19E
The domain of the function f (x) is
Explanation of Solution
Definition used:
The domain is the set of all input values of the function for which the function is real and defined.
Calculation:
Consider the denominator of the function
Since the denominator of
Equate the powers as they have the same base and simplify as follows.
Hence, the function is undefined when
Therefore, the domain of the function is
And, the interval notation of the domain of
(b)
To find: The domain of the function
(b)
Answer to Problem 19E
The domain of the function f (x) is
Explanation of Solution
Consider the denominator of the function
Since the output of the exponential function can never be 0, the function is defined for any values of x.
Therefore, the domain of the given function is the set of all real numbers, which is
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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