Functions

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What is a one-to-one function?

A one-to-one function is a function where each output is produced by exactly one input, meaning no two inputs map to the same output.

What does it mean for two functions to be inverses?

Two functions are inverses if applying one function followed by the other returns the original input, expressed as $f(f^{-1}(x)) = x$.

What is a function?

A function is a relation that uniquely associates each element of a set with exactly one element of another set.

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