UPSKILL MATH PLUS

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Consider the four sets $$A$$, $$B$$, $$C$$ and $$D$$.
Let $$f: A \rightarrow B$$, $$g: B \rightarrow C$$, $$h: C \rightarrow D$$ be three functions.
The functions $$f$$, $$g$$ and $$h$$ are composed as $$f \circ \left(g \circ h\right)$$ and $$\left(f \circ g\right) \circ h$$.
But the composition of three functions is always associative. That is equivalent to $$f \circ \left(g \circ h\right)$$ $$=$$$$\left(f \circ g\right) \circ h$$.