Use the table to answer the question.

x (domain) 3 5 7 9 11
y (range) 45 65 85 105 125
Given the table representing a relation, create its inverse.(1 point)
Responses

x (domain) 11 9 7 5 3
y (range) 45 65 85 105 125
x (domain) 11 9 7 5 3 y (range) 45 65 85 105 125

x (domain) −45
−65
−85
−105
−125
y (range) −3
−5
−7
−9
−11


x (domain) negative 45 negative 65 negative 85 negative 105 negative 125 y (range) negative 3 negative 5 negative 7 negative 9 negative 11

x (domain) 45 65 85 105 125
y (range) 3 5 7 9 11
x (domain) 45 65 85 105 125 y (range) 3 5 7 9 11

x (domain) 45 65 85 105 125
y (range) 11 9 7 5 3

1 answer

To create the inverse of the relation provided in the table, we essentially switch the domain (x values) and the range (y values).

The original table is:

| x (domain) | 3 | 5 | 7 | 9 | 11 | |------------|----|----|----|----|----| | y (range) | 45 | 65 | 85 | 105| 125|

The inverse relation will then be:

| x (domain) | 45 | 65 | 85 | 105 | 125 | |------------|-----|-----|-----|-----|-----| | y (range) | 3 | 5 | 7 | 9 | 11 |

Thus, the correct inverse relation is:

x (domain): 45, 65, 85, 105, 125
y (range): 3, 5, 7, 9, 11

So, the correct response is:

x (domain) 45 65 85 105 125
y (range) 3 5 7 9 11