# Concept of counter-domain in mathematics

INDICE

**If we want to master mathematics**, we need to be able to take into account the definition of a set of concepts that are very important. In this case, we talk about the concept of contradomino, which refers in terms of the function to that set that has values that could take the variable that is dependent of the letter «y». Of course, you should also keep in mind that this definition is also valid for the following terms: rank, condominium, and route.

**Although it is a definition that may seem very simple**, it is necessary that it is understood in a good way since we are talking about variables and dependents that can alter us in a complete way some exercise or problem that we have to solve with those values.

## Concept of contradominium in mathematics

Remembering that the function has to do with the union or relation that comes given between the elements of two sets, it can be said that the counter-domain of a function keeps its reference towards a set of values that has dependence in the «and». In this sense, you must take into account that there are several values or elements that are at stake.

In itself, we speak of the counter-domain, as a set of elements that are of arrival. It can also be understood as a final set or a condominium set. Any of these perspectives are really valid, but we must keep in mind which one we are using so as not to make a mistake. These are concepts that are more closely linked to the subject of functions since it is one of the objectives studied within mathematics.

## Other definitions of counter-domain in mathematics

If we start from the premise that a function is a kind of rule that establishes a notorious correspondence between the elements of two sets, we can dare to define the counter-domain as the set of numbers that are known as real. It can also be defined as the set of the function «f» or the arrival set. Basically, what we see is the way in which the sets start and how they arrive at something already established.

The counter domain can also be defined as a counterpart to what we usually know as a domain. We already know that both are fundamental within a function and in the study that could suggest it.

## Facts about the counter domain in mathematics

**If we speak in a simple way in relation to what the counter-domain is, this has to do with the way in which a participation in the function is given.** In the case of a function that exists, we can see that the counter-domain could be the set of «ands»; being that it has nothing to do with the domain itself.

Basically, we must be aware of the elements that intervene in each of the sets and the nature of the function in order to immediately distinguish who is the counter-domain and who is the domain of the function.