The notation "g⁻¹" represents the inverse of a function or operation denoted by "g." In mathematics, an inverse function essentially reverses the effect of the original function. For example, if "g" takes an input "x" and produces an output "y," then "g⁻¹" takes "y" and returns it to "x." This concept is crucial in various fields, including algebra and calculus. In the context of group theory, "g⁻¹" refers to the inverse of an element "g" within a group. The inverse element, when combined with the original element, yields the identity element of the group. This property is fundamental in understanding the structure and behavior of groups in abstract algebra, where elements and their inverses play a key role in operations.