Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 04 Feb 2018 My Price 5.00

composition of two function

Find an example to show that the composition of two functions need not be commutative. That is, g ° f ≠ f ° g.

Since the composition of two functions is not commutative, we must be careful about the order in which they are written. Unfortunately, the standard notation almost seems backward. That is, the function g ° f is evaluated by applying f first and then g. This is due to the formula notation

in which we evaluate “from the inside out” instead of “left to right.” Fortunately, the composition of functions is associative. This is easy to show and is left as an exercise. It is also true that composition preserves the properties of being surjective or injective.

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Maurice Tutor
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Status NEW Posted 04 Feb 2018 07:02 PM My Price 5.00

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