To determine the domain and range of the relation \( G = {(0, m), (3, n), (9, 9), (n, 3)} \), we will extract the first and second elements of the ordered pairs.
Domain: The domain of a relation is the set of all first elements of the ordered pairs. From the pairs in \( G \):
- First element of (0, m) is 0
- First element of (3, n) is 3
- First element of (9, 9) is 9
- First element of (n, 3) is \( n \)
Thus, the domain can be represented as: \[ \text{Domain} = {0, 3, 9, n} \]
Range: The range of a relation is the set of all second elements of the ordered pairs. From the pairs in \( G \):
- Second element of (0, m) is \( m \)
- Second element of (3, n) is \( n \)
- Second element of (9, 9) is 9
- Second element of (n, 3) is 3
Thus, the range can be represented as: \[ \text{Range} = {m, n, 9, 3} \]
Therefore, we can summarize the domain and range of the relation \( G \) as follows:
\[ \text{Domain} = {0, 3, 9, n} \] \[ \text{Range} = {m, n, 9, 3} \]