a.
To show : that
a.
Explanation of Solution
Given information :
The functionsare
Prove : if
Now, substitute the x of function f by function
Thus, the functions are inverse function.
b.
To show : that
b.
Explanation of Solution
Given information :
The functions are
Prove : by using graphing utility, enter
x | ||
4 | 88.66 | |
5 | 211.67 | |
6 | 435.33 | |
7 | 803.66 |
By using these points and table, the graph can be obtained as:
Form the above graph it can be observed that the graph of both function is reflection in the line
Thus, the functions are inverse function.
c.
To show : that
c.
Explanation of Solution
Given information :
The functions are
Prove : to show the functions are inverse function numerically, by using a graphing utility.
Enter
8 | 8 | 8 |
9 | 9 | 9 |
10 | 10 | 10 |
11 | 11 | 11 |
12 | 12 | 12 |
From the table it can be observed that the entries for x ,
Thus, the functions are inverse function.
Chapter 1 Solutions
Precalculus with Limits: A Graphing 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