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what is the inverse of f = { (1,3) (4,2) (5,1) }​

Sagot :

Answer:

The inverse of f = {(1,2), (2,3), (3,4), (4,1), (5,2)} is a function if the domain of f is limited to a) {1,3,5} b) (1,2,3,4} c){1,5}, d) {1,2,4,5} e) {1,2,3,4,

Step-by-step explanation:

Notice that it never says that "f" is a function, it says that the inverse of "f" is a function if the domain of f is limited.

So if you eliminate the last point, (5,2), then the inverse will be a function because it will contain only the points

{(2,1), (3,2), (4,3), (1,4)}

If you put in the inverse of the point (5,2), you will be including the point (2,5) in the inverse which would cause the inverse to NOT be a function, as you have pointed out because the inverse would no longer pass the vertical line test.