Concept explainers
To check horizontal line test whether inverse of
Answer to Problem 38E
Yes
Explanation of Solution
Given information:
Formula Used: Horizontal line test and inverse relation.
Calculation:
If the horizontal line intersects the graph of a function in all places at exactly one point, then the given function should have an inverse that is also a function. We say this function passes the horizontal line test.
As the horizontal line intersect with the graph of function at 1 point. So the function passes the horizontal test. So, the inverse of
If a relation contains the point
As,
So,
Now, squaring both sides
So, simplify
Now,
Hence,
Chapter 10 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education