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

Answer:

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

Step-by-step 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 $y \neq 3, 6$. 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.