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.

Question

Mathematics

Jaylen Rhodes

10 May, 08:11

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.

+1

Answers (2)

Know the Answer?

Lassie · Answer 1

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

Banjo · Answer 2

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.