1330_section1o4 - Math 1330 Class Notes – Section 1.4,...

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Unformatted text preview: Math 1330 Class Notes – Section 1.4, Page 1 of 4 Math 1330 - Section 1.4 Combining Functions We can combine functions in any of five ways. Four of these are the familiar arithmetic operations; addition, subtraction, multiplication and division, and are very intuitive. The fifth type of combining functions is called composition of functions. In all cases, we’ll be interested in combining the functions and in finding the domain of the combined function. Suppose we have two functions, ) ( x f with domain A and ) ( x g with domain B . ( 29 ) ( ) ( ) ( x g x f x g f + = + with domain { } B A x x ∩ ∈ ( 29 ) ( ) ( ) ( x g x f x g f- =- with domain ∩ ∈ B A x x ( 29 ) ( ) ( ) ( x g x f x fg = with domain ∩ ∈ B A x x ) ( ) ( ) ( x g x f x g f = with domain ) ( , ≠ ∩ ∈ x g B A x x Example 1: Suppose 3 2 ) ( + = x x f and 1 4 ) (- = x x g ....
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This note was uploaded on 02/20/2012 for the course MATH 1330 taught by Professor Staff during the Fall '08 term at University of Houston.

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1330_section1o4 - Math 1330 Class Notes – Section 1.4,...

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