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quiz 16A sol

# quiz 16A sol - Solutions to Quiz 16A...

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Solutions to Quiz 16A www.math.ufl.edu/˜harringt November 26, 2007 1. Use the chart to answer the following questions. x 0 1 2 3 f(x) 1 0 3 2 g(x) 3 1 0 2 (a) ( f g )(2) = f ( g (2)) = f (0) = 1 (b) ( g f )(2) = g ( f (2)) = g (3) = 2 (c) ( g g )(3) = g ( g (3)) = g (2) = 0 2. Please find two functions f and g such that ( f g )( x ) = 1 x 2 +1 . I would like to point out that the solution is NOT unique, meaning there are different answers one could give and still be correct. One possible solution: Let f ( x ) = 1 x and g ( x ) = x 2 + 1 Another possible solution: Let f ( x ) = 1 x and g ( x ) = x 2 + 1 Other solutions may exists. The only solutions that will not be accepted are the

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quiz 16A sol - Solutions to Quiz 16A...

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