Concept explainers
Find the inverse of
State the domain and the range of
The inverse function of
Answer to Problem 3CT
Solution:
Domain of
Domain of
Explanation of Solution
Given information:
The function is
Explanation:
Step 1: Replace
Step 2: Solve
Multiplying both sides by
Dividing both sides by
Adding
Dividing both sides by
Replace
Step 3: Check the result by showing that
The inverse function
Now, find the domain and the range of
The function is
Take the denominator of
Add
Divide both sides by
Thus, the domain of
By using domain of
Range of
The range of
By using range of
The domain of
The domain of
Chapter 5 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th Edition)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning