Question

Question

Use the table to answer the question.

Inverse of a Function
x (domain) 5 10 15 20 25
y (range) 3 6 9 12 15
Given the table representing a relation, create its inverse.(1 point)
Responses

The relation does not have an inverse.
The relation does not have an inverse.

Inverse of a Function
x (domain) 3 6 9 12 15
y (range) 5 10 15 20 25
Inverse of a Function x (domain) 3 6 9 12 15 y (range) 5 10 15 20 25

Inverse of a Function
x (domain) 25 20 15 10 5
y (range) 3 6 9 12 15
Inverse of a Function x (domain) 25 20 15 10 5 y (range) 3 6 9 12 15

Inverse of a Function
x (domain) 15 12 9 6 3
y (range) 5 10 15 20 25
Inverse of a Function x (domain) 15 12 9 6 3 y (range) 5 10 15 20 25

Answer 1

To find the inverse of a function, you essentially swap the x and y values from the original function.

Given the table:

x (domain) | 5  | 10 | 15 | 20 | 25
y (range)  | 3  | 6  | 9  | 12 | 15

The inverse would switch the x and y values as follows:

Inverse of a Function
x (domain) | 3  | 6  | 9  | 12 | 15
y (range)  | 5  | 10 | 15 | 20 | 25

So, the correct option here is:

Inverse of a Function x (domain) 3 6 9 12 15 y (range) 5 10 15 20 25.