preimage Definition
- 1the set of all elements in the domain of a function that map to a specific element in the range
- 2the inverse image of a particular subset of the range of a function
Using preimage: Examples
Take a moment to familiarize yourself with how "preimage" can be used in various situations through the following examples!
Example
The preimage of 3 under the function f(x) = x^2 is {-sqrt(3), sqrt(3)}.
Example
The preimage of the set {1, 2, 3} under the function f(x) = x mod 2 is {1, 3}.
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Summary: preimage in Brief
A 'preimage' [pree-im-ij] is a set of all elements in the domain of a function that map to a specific element in the range. It is also known as the inverse image of a particular subset of the range of a function. For example, the preimage of 3 under the function f(x) = x^2 is {-sqrt(3), sqrt(3)}.
