HW12 - MAP 103 Proficiency Algebra Homework#12 DUE TUESDAY NOV 24 2009 1 Let f x = x 1 and g x = 1 2 x 2 Perform the given operations on f x and g

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Unformatted text preview: MAP 103: Proficiency Algebra Homework #12 DUE: TUESDAY, NOV. 24, 2009 1. Let f ( x ) = x + 1 and g ( x ) = 1 2 x + 2 . Perform the given operations on f ( x ) and g ( x ) , specified below. (a) f ( x ) + g ( x ) (b) f ( x )- g ( x ) (c) f ( x ) · g ( x ) (d) (*) f (2 x ) + g ( x- 1) 2. Find a formula for the inverse function to each of the functions given below. (a) f ( x ) = 2 x- 3 (b) g ( x ) = 1 2 x + 2 (c) m ( x ) = ( x 2 + 1) 2 + 1 (d) n ( x ) = x- 1 x +1 3. Let f ( x ) = x 2 + 1 . (a) Find a formula for the inverse of f ( x ) . (b) On what domain would the graph of f- 1 ( x ) be a function? (i.e. pass the vertical line test) 4. Consider a relation R = { (0 , 1) , (1 , 2) , (2 , 4) , (3 , 8) , (4 , 16) } . Does the relation R have an inverse? If so, does that mean R also has an inverse function? 5. Let f ( x ) = 1 x +1 and g ( x ) = 2+ x x +3 . Find an algebraic expression for f- 1 ( x ) + g- 1 ( x ) . What is the domain of this new expression?...
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This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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