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Function Compositions

In mathematics, the composition operator takes two functions, and , and returns a new function . Thus, the function g is applied after applying f to x. is pronounced "the composition of g and f".

—Wikipedia

Result

g ∘ f = {}

dom(g ∘ f) =

im(g ∘ f) =

(g ∘ f)-1 = {}

dom((g ∘ f)-1) =

im((g ∘ f)-1) =