Answer:
The ordered pairs in the inverse of g = {(-3, 5), (1, 4), (-2, 3), (0, 2)}
Step-by-step explanation:
Given that:
Relation g is given by the following table of values:
[tex]\begin{center}\begin{tabular}{ c c }x & y \\5 & -3 \\4 & 1\\3 & -2\\2 & 0\\\end{tabular}\end{center}[/tex]
To find:
The ordered pairs in the inverse of relation g.
Solution:
First of all, let us learn about domain and range of a relation [tex]y=f(x)[/tex].
Domain of a relation is the values of [tex]x[/tex] that are given as input to the relation.
Range of a relation is the values of [tex]y\ or\ f(x)[/tex] 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 g.
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 g are: {(5, -3), (4, 1), (3, -2), (2, 0)}
The ordered pairs in the inverse of g = {(-3, 5), (1, 4), (-2, 3), (0, 2)}
