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To find : the domain of the function so that the function is one-to-one and has an inverse function. And find the inverse function.
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Answer to Problem 85E
The domain of function
Explanation of Solution
Given information :
The function
Calculation : the domain of function is all real numbers. To having the function one-to-one and inverse, for every value of x , there should be unique value of y.
So the domain of function should be
To find the inverse function substitute
Thus, the inverse function is
The domain of the function f is all real values because function is defined for all real values.
The range of the function f is
The domain of function
Thus, the domain of the function
For range of the function
Thus, the range of the function
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS:GRAPH.APPROACH
- 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
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