# 7.6 - What’s the domain = x g f Division HW#17 f x = 2 x 2 x-3 g x = x-1 f x g x = What’s the domain Composition of Functions Symbols In

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1 7.6 Function Operations Warm Up Evaluate the function for the given value of X: Find f(-2): Find g(3): f ( x ) = 3 x + 4 g ( x ) = 2 x 2 + 5 x - 6 Objectives • To Add Functions. • To Multiply Functions • To Use and Understand Composition of Functions. What is a function? • What does it do? • Definition: • Processes inputs - Kind of like a machine. • A relationship such that: * For every possible input (X), there is only ONE possible output. f ( x ) = 5 x + 2 Function Operations Addition ( f + g )( x ) = Subtraction ( f - g )( x ) = Multiplication ( f g )( x ) = Division = ) ( x g f What’s the Domain?! • The X values in BOTH domains. • EXCEPT (quotient): X values causing the denominator to equal zero. Ex. What’s the domain of: 1 3 5 ) ( - + = x x x f

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2 Addition Example f ( x ) = 7 x + 2 g ( x ) = 3 x - 4 ) )( ( x g f + What’s the domain? Subtraction Example f ( x ) = 7 x + 2 g ( x ) = 3 x - 4 ) )( ( x g f - What’s the domain? Multiplication Example f ( x ) = x 2 - 1 g ( x ) = x + 1 ) )( ( x g f What’s the domain? Division Example f ( x ) = x 2 - 1 g ( x ) = x + 1
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Unformatted text preview: What’s the domain? = ) ( x g f Division - HW #17 f ( x ) = 2 x 2 + x-3 g ( x ) = x-1 f ( x ) g ( x ) = What’s the domain? Composition of Functions Symbols In English: First Evaluate: Then Evaluate: ( f o g )( x ) = f ( g ( x )) We can take functions of functions! 3 Composition Example f ( x ) = 3 x g ( x ) = 2 x + 1 = ) )( ( x g f o = ) 3 )( ( g f o What’s the domain? Composition - HW #25 g ( x ) = 2 x h ( x ) = x 2 + 4 ( g o h )(-2) = What’s the domain? Practice Work • P. 394 7-12, 15-18, 20-29 – If you get hung up, try a similar odd numbered problem; then check your answer in the back of the book to measure your understanding. Still not comfortable with these ideas? Two more examples to come....
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## This note was uploaded on 05/13/2011 for the course MTH 98 taught by Professor Johnson during the Fall '09 term at Grand Valley State University.

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7.6 - What’s the domain = x g f Division HW#17 f x = 2 x 2 x-3 g x = x-1 f x g x = What’s the domain Composition of Functions Symbols In

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