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Function Arithmetic

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Algebra
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Function Arithmetic Functions defined on the SAME domain, can be combined by addition, subtraction, multiplication, and division (barring division by zero) to generate new functions.? CONSIDER: Given and (whose domains are assumed to be ) the following compositions:??????????In the case of division, we must restrict the domain to prevent division by zero. As such the domain of the new function becomes Polynomial Functions Given the simplest functions:?? (constant function)?? (Identity function)??We can combine these functions trhough arithmetic to create new functions? Any combination of addition, subtraction, and multiplication of and , results in the family of functions called "polynomials"????

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