To write : an example of a relation that is a function but whose inverse is not a function.
Answer to Problem 36PPE
Explanation of Solution
Solution:
Consider a relation
The domain of the relation is X={ 1,2,3} and range of the relation is Y={ 8,9}.
This relation is a function from X to Y since each element from X is related to only one element in Y.
Now, inverse of relation R is
This relation is not a function from Y to X as the element 8 in Y is related to two elements 1 and 2 in X.
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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