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 FunctionsLet f(x)and g(x)be two functions: ()()()()()()()()( ) ()()()()( )()()()()(1)(2)34fgxfxg xfgxfxg xfgxfx g xfxfxgg x+=+===Example: Given: ()()3,4fxxg xx==+)Find: (a) ()(2fg(b) ()()fxgCompositions of functionsNotation: ()()()fgxfg x=Dg(x) f[g(x)] x Final output Output becomes the new input Input is x
Example: Given ()31fxx=and , find: ()22g xx=(a) ()(1fgD))(b) ()(fgxD(c) ()()ggxDExample: 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) ()(6fgD)
Page 204 #47. The volume of a conical pile of sand is increasing at a rate of 243

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