# hw01 - x-15, g ( x ) = x 2 + 2 x b) f ( x ) = x x-2 , g ( x...

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Homework # 1 Due: 05/23/06 #1 Find the domain of the following functions a) f ( x ) = 3 x 2 - 2 x + 1 x 2 - 4 x - 21 b) f ( x ) = x + 3 - x - 2 + 3 x 2 - 1 c) f ( x ) = 1 x 2 - 1 #2 Graph the following piecewise function f ( x ) = ± 2 x + 1 , x 1 4 - x , x > 1 #3 § 1.2 # 2 #4 § 1.2 # 12 #5 f ( x ) = 3 - 2 x and g ( x ) = x + 4. Find ( f + g )( x ), ( f - g )( x ), ( fg )( x ), and ( f/g )( x ). Find the domain of each as well. #6 Find ( f g )( x ) and ( g f )( x ) and the domain of each for: a) f ( x ) =
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Unformatted text preview: x-15, g ( x ) = x 2 + 2 x b) f ( x ) = x x-2 , g ( x ) = 3 x #7 Graph the following functions by starting with the graph of a standard function and applying the appropriate transformations. a) y = 2 sin 2 x b) y = 1 x-4 #8 Find the exact value of: a) cos( 2 3 ) b) sin(-5 6 ) 1...
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## This note was uploaded on 02/29/2008 for the course MAT 141 taught by Professor Varies during the Spring '08 term at Lehigh University .

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