Function composition

Operation on mathematical functions

In mathematics, the composition operator ∘ {\displaystyle \circ } takes two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new function f ∘ g {\displaystyle f\circ g} . When the composite function f ∘ g {\displaystyle f\circ g} (pronounced " f {\displaystyle f} of g {\displaystyle g} ") is evaluated at an input x {\displaystyle x} , the result is ( f ∘ g) ( x) = f ( g ( x)) {\displaystyle (f\circ g)(x)=f(g(x))} . That is, the function f {\displaystyle f} is applied after applying g {\displaystyle g} to x {\displaystyle x} .

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