Concept explainers
ToFind: whether the given two functions in each graph is inverse of each other and explain with reasoning.
Answer to Problem 138E
two functions in graph (a) are not inverse of each other.
Explanation of Solution
Given
Graphs are given below.
Calculation:
Since, graph of a function and its inverse function is a reflection or mirror image in the line
For example, functions
Its graphs mare plotted using coordinates given below.
Plotting
Plotting
Here, it can be seen that both the functions are reflection of each the in the line
In graph (b), (c) and (d), both functions are reflection of each other in line
Therefore, two functions in graph (a) are not inverse of each other.
Chapter 1 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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