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lesson27outline - MA 153 Lesson 27 Outline Answering of...

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MA 153 Lesson 27 Outline Answering of homework questions over lesson 26. Lesson 27 Section 3.7 Operations on Functions Let f(x) and g(x) be two functions: ( ) () () () () (1) (2) 3 4 f gx fx gx f fg x f x g x fx f x g +=+ −=− = = Example: Given: () () 3 ,4 x x == + ) Find: (a) ( 2 fg (b) f x g Compositions of functions Notation: f fgx ⎡⎤ = ⎣⎦ D g(x) f[g(x)] x Final output Output becomes the new input Input is x
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Example: Given () 31 f xx =− and , find: 2 2 gx x = (a) ( ) ( 1 fg D ) ) (b) ( f D (c) ( )( ) gg x D Example: Page 203 #37. x 5 6 7 8 f(x) 8 7 6 5 x 5 6 7 8 g(x) 7 8 6 5 Find: (a) ( 6 D )
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Page 204 #47. The volume of a conical pile of sand is increasing at a rate of 243 π cubic feet per minute. The height of the pile always equals the readius
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lesson27outline - MA 153 Lesson 27 Outline Answering of...

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