CA_GPS_20 - 3. Suppose that 1 1 ) ( ! + = x x x f and x x g...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 20 2.6 COMBINING FUNCTIONS; COMPOSITE FUNCTIONS II Class Time: ____________ Date: __________ Useful Guidelines: * The composite function , denoted by g f o (read as “ f composed with g ”), is defined by )) ( ( ) )( ( x g f x g f = o (read as “ f of g of x ”.) * The domain of g f o is the subset of the domain of g for which g f o is defined. 1. Suppose that 1 ) ( 2 ! = x x f and . 3 ) ( x x g = Find: (a) ) 3 )( ( g f o (b) ) 3 )( ( ! f g o (c) ) 2 )( ( f f o (d) ) 1 )( ( ! g g o 2. Suppose that x x f ! = 2 ) ( and 1 4 ) ( + = x x g . Find: (a) g f o (b) f g o (c) f f o State the domain of each composite function.
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Unformatted text preview: 3. Suppose that 1 1 ) ( ! + = x x x f and x x g 1 ) ( = . Find: (a) g f o (b) f g o 4. Suppose the weekly cost for the production and sale of a cabinet is 4000 25 ) ( + = x x C dollars and that the total revenue is given by x x R 80 ) ( = , where x is the number of cabinets. a) Write the equation of the function that models the weekly profit from the production and sale of x cabinets. b) What is the profit on the production and sale of 300 cabinets?...
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This note was uploaded on 10/18/2011 for the course MAC 1105 taught by Professor Russel during the Summer '07 term at Valencia.

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