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In high school, you may have learned about function composition as just another way of putting functions together, similar to addition and multiplication. How is composing functions different from adding or multiplying

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In mathematics, function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). ... Composition of functions is different from multiplication of functions, and has quite different properties; in particular, composition of functions is not commutative.

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