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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

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

View Full DocumentRight Arrow Icon
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
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

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.

Page1 / 3

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online