What is images of sets?

Images of sets refer to the output of function when the elements in a set are inputted as the argument. If a function is defined as f(x) = x^2, and we have a set A = {1, 2, 3}, then the image of A under the function f, denoted as f(A), would be {1, 4, 9}. This means that when the elements of set A are inputted into the function f, the resulting outputs would be {1, 4, 9}. It is important to note that the image of a set may or may not be a set itself, depending on the function being used and its output. In addition, the image of a set is a unique set, meaning that if two sets have the same elements, their images under a function will also be the same.