Function Compositions
In mathematics, the composition operator takes two functions, and , and returns a new function . When the composite function is evaluated at an input , the result is . That is, the function is applied after applying to .
Result
g ∘ f = {}
dom(g ∘ f) =
im(g ∘ f) =
(g ∘ f)-1 = {}
dom((g ∘ f)-1) =
im((g ∘ f)-1) =