(a)
To verify : The given function one to one.
(a)
Explanation of Solution
Given: The functions is
The domain of the function is
The range of the function is
On observing the range of the function, no element in the range repeats its value.
Hence, the function is one to one.
(b)
To find : The inverse of the given function.
(b)
Explanation of Solution
Given: The functions is
The domain of the function is
The range of the function is
If the range is made as domain of another function, then the new function will be the inverse of the previous function.
So, the inverse of the function is,
Therefore, the inverse of the function is
Chapter 5 Solutions
Precalculus
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
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