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.

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

Step-by-step 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.

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