Question

inverse relations and functions
use the mapping diagram for relation q to answer the question.
what are the elements in the domain of ( q^{-1} ) (q inverse)?

relation q
domain: 12, 24, 36, 48
range: 3, 7, 5, 9

Explanation:

Step1: Recall inverse relation domain

The domain of the inverse relation \( q^{-1} \) is the range of the original relation \( q \).

Step2: Identify range of \( q \)

From the mapping diagram, the range of relation \( q \) (elements in the blue box) is \( \{3, 7, 5, 9\} \). Thus, the domain of \( q^{-1} \) is these elements.

Answer:

3, 7, 5, 9