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**Unformatted text preview: **x ) = 2-f ( x ). 8 Algebra of Functions Let f and g be functions with domains A and B respectively, then Function Domain ( f + g )( x ) = ( f-g )( x ) = ( fg )( x ) = ( f g )( x ) = 9 If f ( x ) = 1 x and g ( x ) = √ x-1, ﬁnd ( f + g )( x ) and ( fg )( x ) and their domains. 10 Composition of Functions ( f ◦ g )( x ) = Domain ( g ◦ f )( x ) = Domain 11 If f ( x ) = 1 x and g ( x ) = √ x-1, ﬁnd the composites f ◦ g and g ◦ f and their domains. If h ( x ) = x 2 , ﬁnd h ◦ g ◦ f and its domain. 12...

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