Concept explainers
(a)
To show: The function
(a)
Answer to Problem 12P
Solution:
The function
Explanation of Solution
Result used:
f is an odd function if and only if
Proof:
Consider the function
Substitute
Rationalize the numerator,
Simplify further,
Therefore, by definition it is concluded that the function is odd function.
(b)
To find: The inverse function of f.
(b)
Answer to Problem 12P
Solution:
The inverse function of
Explanation of Solution
Calculation:
Consider the function
Interchange x and y,
Take exponential on both sides,
Take square on both sides,
Simplify further,
Therefore, it is concluded that the inverse function 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