Algebra-Of-Functions

Algebra-Of-Functions - The Algebra of Functions Given two functions f(x and g(x we use shorthand notation to indicate the operations of adding

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From MathMotivation.com – Permission Granted For Use and Modification For Non-Profit Purposes The Algebra of Functions Given two functions, f(x) and g(x), we use shorthand notation to indicate the operations of adding, subtracting, multiplying, and dividing the formulas of these two functions. Furthermore, we have shorthand notation to indicate that the entire formula of one function is inputted into the other function. These operations, known as Algebra of Functions, are described below. Notation For Adding, Subtracting, Multiplying, and Dividing Functions: (f + g)(x) = f(x) + g(x) Example: If f(x) = 3x + 2 and g(x) = x 2 , then (f + g)(x) = 3x + 2 + x 2 So, you simply add the two formulas together. (f - g)(x) = f(x) - g(x) Example: If f(x) = 3x + 2 and g(x) = x 2 , then (f + g)(x) = 3x + 2 - x 2 So, you simply subtract the formulas. (f g)(x) = f(x) g(x) Example: If f(x) = 3x + 2 and g(x) = x 2 , then (f + g)(x) = (3x + 2) x 2 So, you simply multiply the two formulas together. (f / g)(x) = f(x) / g(x),
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This note was uploaded on 11/05/2011 for the course ANTHRO 101 taught by Professor Crandall during the Fall '09 term at BYU.

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Algebra-Of-Functions - The Algebra of Functions Given two functions f(x and g(x we use shorthand notation to indicate the operations of adding

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