Inverse Function

For a bijective function, the inverse function reverses the mapping.

Definition

Given a bijection \(f: A \to B\), the inverse function \(f^{-1}: B \to A\) satisfies:

\[f^{-1}(f(x)) = x \quad \text{and} \quad f(f^{-1}(y)) = y\]

Properties

Only bijective functions have inverses
The inverse of a bijection is also a bijection

Example

To be written.

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