Combining Functions

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Functions can be combined through addition, subtraction, and other operations in the same ways that numbers can. They can also be combined by composition, as shown by the last two choices in the combination setter. Arithmetic combinations of a periodic and a non-periodic function are not periodic, but compositions might be periodic, like .
Contributed by: Ed Pegg (March 2011)
Open content licensed under CC BY-NC-SA
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"Combining Functions"
http://demonstrations.wolfram.com/CombiningFunctions/
Wolfram Demonstrations Project
Published: March 7 2011