To find: The inverse of the function
Answer to Problem 90RE
Explanation of Solution
Given information:
Calculation:
To find the inverse of a function we must prove that the function is one to one and then put function equal to y and then swap the values of x & y.
To prove that the function is one to one. Let us assume ‘a’ & ‘b’ 2 real numbers such that
If
Swap
Or
We can calculate inverse of a function for one to one function only. We can also verify
by checking that
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th 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