Inverse of a Function | Discrete Mathematics

In this video, we delve into the intriguing concept of inverse functions in mathematics and explore their significance, properties, and applications.
The inverse of a function is a fundamental concept that allows us to reverse the mapping of elements from the codomain back to the domain. For a given function f: A → B, the inverse function, denoted as f^(-1): B → A, performs the opposite mapping, undoing the original transformation.
In this video, we start by defining what an inverse function is and explain the conditions necessary for a function to have an inverse. For a function to have an inverse, it must be both one-to-one (injective), ensuring that each element in the domain maps to a unique element in the codomain, and onto (surjective), guaranteeing that every element in the codomain has a pre-image in the domain.
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