Relationship Between Image And Preimage. The inverse image or preimage of a particular subset s of the codomain of a function is the set of all elements of the domain that map to the members of s. In order to measure magnitude measure the distance between a point in the preimage with its corresponding point in the image.
Preimage we go from a subset of our codomain and we say what subset of our domain maps into that subset of our codomain. The image is the result of performing a transformation and the preimage is the original that you perform the transformation. Roughly speaking you might think of f x as a kind of distorted copy or image of x in b the preimage f 1 y of y is the set of all things in a that f sends into y.
1what is the difference between an image and a preimage in a transformation.
The inverse image or preimage of a particular subset s of the codomain of a function is the set of all elements of the domain that map to the members of s. A transformation in which the preimage and image are congruent a transformation that preserves distance. To tell them apart they will usually be defined separately. In mathematics the image of a function is the set of all output values it may produce.