In mathematics, particularly in the context of functions, a pre-image refers to the set of all inputs (or arguments) that map to a specific output under a given function. For a function ( f: X \to Y ) and an element ( y \in Y ), the pre-image of ( y ) is the set ( f^{-1}(y) = { x \in X \mid f(x) = y } ). Essentially, it identifies which elements from the domain correspond to a particular value in the codomain.
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The image and pre-image are congruent.
It is the output of a function.A function is a mapping that associates an image to each pre-image. The term is often used in the context of transformations but need not be restricted to that use.It is the output of a function.A function is a mapping that associates an image to each pre-image. The term is often used in the context of transformations but need not be restricted to that use.It is the output of a function.A function is a mapping that associates an image to each pre-image. The term is often used in the context of transformations but need not be restricted to that use.It is the output of a function.A function is a mapping that associates an image to each pre-image. The term is often used in the context of transformations but need not be restricted to that use.
It means that the pre-image and image are on opposite sides of the centre of magnification.
You need information about a pre-image AND and image to work out a scale factor.
The image of each point in the pre-image can be obtained by drawing a perpendicular from the point to the line and then doubling its length.