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CA_GPS_19

# CA_GPS_19 - = and 5 1 g x x = 2 Let 7 3 f x x = 2 2 g x x =...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 19 2.6 COMBINING FUNCTIONS; COMPOSITE FUNCTIONS Class Time: ____________ Date: __________ Useful Definitions: If ( ) f x and ( ) g x define functions, then * ( )( ) ( ) ( ) f g x f x g x + = + * ( )( ) ( ) ( ) f g x f x g x ! = ! * ( )( ) ( ) ( ) fg x f x g x = [The domain of the new function is the intersection of the domains of ( ) f x and ( ) g x .] * 0 ) ( , ) ( ) ( ) ( ! = " " # \$ % % x g x g x f x g f [The domain of the quotient function is the intersection of the domains of ( ) f x and ( ) g x , excluding any values of x where ( ) 0. g x = ] 1. For each pair of functions, find ( )( ) f g x + , ( )( ) f g x ! and ( )( ) fg x Give the domain. ( ) 3 4 f x x
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Unformatted text preview: = ! and ( ) 5 1 g x x = ! + 2. Let ( ) 7 3 f x x = ! , 2 ( ) 2 g x x = ! + and ( ) h x x = ! . Find the following. a) ( )( ) f g x + = b) ( )(2) f g + = c) ( )( ) g h x ! = d) ( )( 3) g h ! ! = e) ( )( ) fg x = f) ( )(2) fg = g) ( )( ) gh x = h) ( )( 1) gh ! = 3. Find the quotient ) ( x g f ! ! " # \$ \$ % & and give the domain. 2 ( ) 10 5 f x x x = ! + and 5 5 ) ( + ! = x x g 4. Let ( ) 6 3 f x x = ! and ( ) 3 h x x = . Find the following. a) ) ( x h f ! " # \$ % & = b) ) 2 ( ! " # \$ % & ’ h f =...
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