Concept explainers
a.
To show: The function
a.
Explanation of Solution
Given information:
To prove a one to one function let us assume that the function is not one to one for
Put
This means that value
Hence, the function is one to one function.
Hence, proved.
b.
To graph: The function
b.
Explanation of Solution
Given information:
Use graphing device to graph the function
Graph : Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the expression
Step 4: Press GRAPH button to graph the function and adjust the windows according to the graph.
The graph is obtained as:
c.
To graph: Inverse function of
c.
Explanation of Solution
Given information:
Use graphing device to graph the function
Graph : Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the expression
Step 4: Press GRAPH button to graph the function and adjust the windows according to the graph.
The graph is obtained as:
d.
To find: The inverse of function i.e.,
d.
Answer to Problem 92RE
The inverse of the function is
Explanation of Solution
Given information:
Hence, The required equation for the inverse of given function is
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