Question

Helpp please please please

Answer 1

The ordered pairs in the inverse of g = {(-3, 5), (1, 4), (-2, 3), (0, 2)}

Explanation:

Given that:

Relation g is given by the following table of values:

`\begin{center}\begin{tabular}{ c c }x & y \\5 & -3 \\4 & 1\\3 & -2\\2 & 0\\\end{tabular}\end{center}`

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
`y=f(x)`.

Domain of a relation is the values of
`x` that are given as input to the relation.

Range of a relation is the values of
`y\ or\ f(x)` 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)}