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

This preview shows pages 1–2. Sign up to view the full content.

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),

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/05/2011 for the course ANTHRO 101 taught by Professor Crandall during the Fall '09 term at BYU.

Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online