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Answer:
The ordered pairs in the <em>inverse of g = </em>{(-3, 5), (1, 4), (-2, 3), (0, 2)}
Step-by-step explanation:
Given that:
Relation <em>g</em> is given by the following table of values:
To find:
The ordered pairs in the inverse of relation <em>g.</em>
Solution:
First of all, let us learn about domain and range of a relation .
Domain of a relation is the values of that are given as input to the relation.
Range of a relation is the values of that come as the output of the relation.
When we take the inverse of any relation,
- The Domain of Actual Relation becomes Range of the Inverse relation.
- The Range of Actual Relation becomes Domain of the Inverse relation.
Now, let us have a look at the domain of given relation <em>g.</em>
Domain of g = set of values of x = {5, 4, 3, 2}
Range of g = set of values of y = {-3, 1, -2, 0}
Ordered pairs will be like (x, y)
Ordered pairs in <em> g </em>are: {(5, -3), (4, 1), (3, -2), (2, 0)}
The ordered pairs in the <em>inverse of g = </em>{(-3, 5), (1, 4), (-2, 3), (0, 2)}