Can a relation that is not a function, have an inverse function?
For, example, in this exercise, what would the answer be?
INVERSE FUNCTION: Does the diagram have an inverse?
(x,1)
(y,2)
(y,3)
(z, no ordinate)

Can a relation that is not a function, have an inverse function?
For, example, in this exercise, what would the answer be?
INVERSE FUNCTION: Does the diagram have an inverse?
(x,1)
(y,2)
(y,3)
(z, no ordinate)
I guess not because, by definition, an inverse function is determined by an initial function.
An inverse function of f(x) is f^1(x), and is true if and only if f^1(f(x)) = x.
In your case, the following function is an inverse:
f(1) = x
f(2) = y
f(3) = y
Although I can't really say this is f^1(x) because that notation requires the original pairing to be a function, which it is not since the input y has two output values.
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