Function composition

Applies the function f first and then applies g to the result, producing a single new function. It is used whenever two functions are chained together.

(g \circ f)(x) = g(f(x))

What the symbols mean

the inner function, applied first
the outer function, applied to the output of f
the input value in the domain of f
the composite function obtained by composing g with f

About this formula

  • FieldMathematics
  • TopicFunctions
  • LevelHigh school
  • Also calledcomposition of functions, composite function, compose functions, function superposition, g of f of x, composition
  • SourceWikidata Q244761

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