\imageof

The \imageof command in LaTeX is used to denote the image of a set under a given function. In mathematical terms, if you have a function f: X -> Y and a subset A of X, the image of A under f is the set of all elements in Y that are mapped to by elements of A. It is often used in set theory and functions to describe the output set of a function given an input set.

Examples

Denotes the image of a function f.

\imageof f

Represents the image of set A under the function f.

\imageof(A) = \{ f(x) \mid x \in A \}

Describes the image of a function f from set X to set Y.

\imageof f = \{ y \in Y \mid \exists x \in X, f(x) = y \}