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mac1147_lecture18_1_c - L18 Composite Functions One-to-one...

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196 L18 Composite Functions; One-to-one Functions; Inverse Functions A composite function f g D (read as “ f composed with g ”) is defined by ( )( ) ( ( )) f g x f g x = D . The domain of f g D is the set of all real x in the domain of g for which ( ) g x is in the domain of f . Example : Show a diagram for the composite function ( )( ) ( ( )) f g x f g x = D Similarly we define: ( )( ) ( ( )) g f x g f x = D
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