It doesnt though, inverse strictly speaking means the multiplicative inverse. The idea was extended in inverse functions eventually which for sake of brevity we also call the inverse. Now f^{-1}(x) and f(x)^{-1} are clearly different beasts the first would describe the square (for square root) while the second describes what quake was doing. Wether you call something an inverse or its full name (multiplicative/functional - inverse) depends on if its unclear from context which was meant.
the function inverse is the multiplicative inverse in the group of automorphisms over sets (when the multiplication operation is functional composition).
I think it's clear we both know that but for the sake of the commenter arguing the two things are different, it's does not help to simply say they the same without giving example, no?
Right, the bang per syllable loss is it's ambiguous, not that it's incorrect. Inverse square root could also mean -(x^0.5) if it meant the additive inverse, and it could mean x^2 if it meant the functional inverse, as said here.
“In mathematics, the concept of an inverse element generalises the concepts of opposite (−x) and reciprocal (1/x) of numbers.”