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.