# Does there exist a math operator that denotes to take the inverse of something?

I’m familiar of the inverse function notation, but I was wondering if there exists a math operator that denotes to take the inverse of something.

• Well, the inverse of some operator $T$ is denoted $T^{-1}$, in exactly the same way that function inverses are written... I'm not sure exactly what you're looking for otherwise. – user296602 Sep 17 '18 at 21:41

If the inverse is always unique, then such an operation is often denoted by $$(\cdot)^{-1}.$$
NB: Here the dot (i.e., $$\cdot$$) is a sort of placeholder. It is fairly standard. What one infers from it is that one plugs an element of the domain of the operation into the place where the dot is, often omitting the brackets (that are still implied if not written); for instance, for any group $$G$$, we have this: \begin{align} (\cdot)^{-1}: G & \to G, \\ g & \mapsto g^{-1}.\end{align}
• It's a notational question. There isn't much to understand. However, I'll add to this answer shortly to explain the use of $\cdot$. – Shaun Nov 23 '18 at 17:24