Don't embarrass yourself by pronouncing (or thinking of) "f (x)" as being "f times x", and never try to "multiply" the function name with its parenthesised inputF (x) is a function g from the reals to the reals, whose domain is the set of the reals x, such that f(x) ≠ 0 The range of a function is the set of the images of all elements in the domain However, range is sometimes used as a synonym of codomain, generally in old textbooksTo avoid ambiguity, some mathematicians citation needed choose to use ∘ to denote the compositional meaning, writing f ∘n (x) for the nth iterate of the function f(x), as in, for example, f ∘3 (x) meaning f(f(f(x))) For the same purpose, f n (x) was used by Benjamin Peirce whereas Alfred Pringsheim and Jules Molk suggested n f(x

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