Question

How do you find the inverse of `f(x)=7`?

Answer 1

This function has no inverse since it is not one to one.

Explanation:

Strictly speaking, the function `f(x) = 7` only has an inverse if its domain has at most one element.

However, we usually assume a default domain such as the Real numbers, `RR`, for which `f(x)` is not one-one. For example, `f(0) = f(1) = 7`, so `f^(-1)(7)` would not be well defined.