Question

4. A function consists of the pairs (2,3), (x, y) and (5,6). If the inverse is also a function what values can y NOT be? Explain.

Answer 1

In a nutshell,
`y` cannot be 3 or 6 in the inverse function for all
`x` distinct from 2 and 5.

Explanation:

From Functional Theory we remember that a function is a relation in which all elements of its domain has an unique and different element from range. If
`y` is the image of the inverse, which is a function, then
`y \\eq 3, 6`. Otherwise, the inverse could not be a function when
`x \in \mathbb{R}-\{2,5\}`.

In a nutshell,
`y` cannot be 3 or 6 in the inverse function for all
`x` distinct from 2 and 5.