Question

Which of the following ordered pairs are in the inverse of the given function?

1) (1,1)
2) (2,14)
3) (3,–7)
4) (1,–1)
5) (14,2)
6) (–7,3)

Answer 1

To find the inverse of a given function, switch the x and y values of the ordered pairs. If the inverse contains the ordered pair, then it is in the inverse of the function.

Step-by-step explanation:

The given question asks which of the following ordered pairs are in the inverse of the given function. To find the inverse of a function, we switch the x and y values of each ordered pair. If the inverse of the function contains the ordered pair, it means that the switched values will result in a valid ordered pair for the original function.

1. (1,1): Switching the values gives us (1,1), which is in the inverse of the function.
2. (2,14): Switching the values gives us (14,2), which is not in the inverse of the function.
3. (3,-7): Switching the values gives us (-7,3), which is in the inverse of the function.
4. (1,-1): Switching the values gives us (-1,1), which is not in the inverse of the function.
5. (14,2): Switching the values gives us (2,14), which is in the inverse of the function.
6. (-7,3): Switching the values gives us (3,-7), which is in the inverse of the function.

Therefore, the ordered pairs (1,1), (3,-7), (14,2), and (-7,3) are in the inverse of the given function.