(a)
To define: The inverse function
(a)
Explanation of Solution
Given:
The function f is one-to-one with domain A and range B.
Calculation:
The inverse function is defined as
Let
The domain of
Thus, the domain of
(b)
To Find: The formula for
(b)
Answer to Problem 2E
The formula for
Explanation of Solution
Let
To get the formula of
Interchange x and y,
The formula for
(c)
To explain: How to obtain the graph of
(c)
Explanation of Solution
Given that the graph of
First check whether the graph of the function f is one-to-one by the horizontal line test.
If the function f is not one-to-one then
If the function f is one-to-one then the graph of
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