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171Q _Assgn_3 - f g x g f x f f x and g g x We can go...

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MATH 171Q HONORS CALCULUS Steve Gonek Fall 2006 Assignment 3–Due Monday, October 2 I. Chapter 3 3ii, 9, 16. II. Chapter 4 1iv, 1vi, 10i, 10ii, 17i, 17ii, 17v. III. I would be remiss if I did not instill in you a proper regard for the Cauchy-Schwarz inequality. to that end do problem 19 of Chapter 1. IV. Consider the two functions f(x)=1-x and g(x)=1/x. We can compose these in four ways:
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Unformatted text preview: f ( g ( x )) , g ( f ( x )) , f ( f ( x ), and g ( g ( x )). We can go further and compose these new functions with themselves, and also with the old ones in a number of ways. Keep composing these functions and simplifying your answers. a. How many distinct functions are there including f and g ? b. List them. c. How do you know your list is complete? 1...
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