👉 Monotonicity is a property of mathematical structures that states that they are always increasing or decreasing in their domain. In other words, if you have a function f(x) and its inverse g(x), then for all x in the domain of f(x), we have: 1. If f(x) < g(x), then f(g(x)) = f(x) 2. If f(x) > g(x), then f(g(x)) = g(x) The property is often used to