Inverse Function
If f is a function of [latex]\mathbb{R}[/latex] in [latex]\mathbb{R}[/latex] that is not zero in [latex]\mathbb{R}[/latex], then the inverse function of f is the new function g defined by [latex]g\left( x \right)= \dfrac {1}{f \left( x\right)}[/latex].
- The functions f and g are inverses of each other if, for all elements in their domain, f(x) × g(x) = 1.
- The expression "inverse function" is a synonym for "the inverse of a function".