a .
To verify: algebraically that the functions
a .
Answer to Problem 22E
f And g are inverse functions.
Explanation of Solution
Concept Used:
Inverse functions: two functions f and g are said to be the inverse functions if:
And
Calculation:
Consider,
And
Clearly
b.
To verify: graphically that the functions
b.
Answer to Problem 22E
f And g are inverse functions.
Explanation of Solution
Concept Used:
The graph of a function and its inverse is symmetric about the line
First draw the graphs of
The above graph shows that graphs of f and g are reflections of each other about the line
Now to further verify this reflective property, test a few points on each graph.
(For each point
Graph of | Graph of |
Hence proved that graphs of f and g are reflections of each other about the line
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- 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