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152E3-F09 - MA 15200 1 Exam 3A Fall 2009 Find the domain of...

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MA 15200 Exam 3A Fall 2009 1 1) Find the domain of this function. Express your answer using interval notation. ( ) 36 3 f x x = - ( , ) ( ,12] ( , 12] [12, ) None of the above. A B C D E -∞ ∞ -∞ -∞ - 2) Given 2 ( ) 7 1 and ( ) 2 f x x g x x = + = , find ( )( ) g f x ringoperator and simplify. 3 2 2 2 2 2 ( )( ) 14 2 ( )( ) 98 2 ( )( ) 14 1 ( )( ) 98 14 1 ( )( ) 98 28 2 A g f x x x B g f x x C g f x x D g f x x x E g f x x x = + = + = + = + + = + + ringoperator ringoperator ringoperator ringoperator ringoperator 3) Which pairs represent inverse functions? 2 I ( ) , ( ) 3 2 3 1 1 II ( ) , ( ) 2 2 1 III ( ) 5 , ( ) 5 x f x g x x f x g x x x f x x g x x + = = - = = - + = = A I and II only B I only C I, II, and III D II and III only E II only
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MA 15200 Exam 3A Fall 2009 2 4) Find the center and the length of the radius for a circle with the equation below. 2 2 2 6 1 0 x y x y + - + + = ( 1,3), 3 (2, 6), 1 (1, 3), 3 ( 1,3), 1 (1, 3), 9 A C r B C r C C r D C r E C r - = - = - = - = - = 5) Graph 2 ( ) 3 x f x   =     . Which statement below is false ? A The y -intercept is 1 or (0,1). B There is no x -intercept. C The function contains the point ( ) 2 3 1, .
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