Definition:Preimage of Element under Mapping/Also known as

Preimage of Element under Mapping: Also known as
The preimage of an element is also known as its inverse image.

In other contexts, this is called the fiber of $t$ (under $f$).

The UK English spelling of fiber is fibre.

The term argument is popular in certain branches of mathematics.

If $\tuple {x, y} \in f$, then $x$ is the argument (of $f$) which holds the value $y$.

In the context of computability theory, the following terms are frequently found:

If $\tuple {x, y} \in f$, then $x$ is often called the input of $f$ which produces the output $y$.