Question

F(x) = {(1, 4), (2, 3), (5, 8), (4, 7)} Is f^-1(x) a function and why?

Yes, each element in the range has only one domain value.
Yes, each element in the domain has only one range value.
No, there are only a limited number of ordered pairs and can’t be determined.
No, we don’t know the original function and therefore can’t make the determination.

Answer 1

yes, each element in the range has only one domain value

Answer 2

a) Yes, each element in the range has only one domain value.

Explanation:

To be a function a relation between two sets must follow at least one basic condition.

* All elements of the Domain must have its counterpart into the Range.

The question asks if an inverse function of this given one is still a function. Let's check it below.

That's why it's

a) Yes, each element in the range has only one domain value.