LISTA_02 - Lista 2 de C´ alculo Aplicado I e C´ alculo...

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Unformatted text preview: Lista 2 de C´ alculo Aplicado I e C´ alculo Diferencial e Integral Aplicado I 2006-2 3 Universidade Federal Fluminense EGM - Instituto de Matem´atica GMA - Departamento de Matem´atica Aplicada LISTA 2 - 2006-2 Opera¸c˜ oes com fun¸c˜ oes Fun¸c˜ ao composta Transforma¸c˜ oes em gr´aficos 1. Se f ( x ) = 3 x 2 + 2 e g ( x ) = 1 3 x + 2 , determine: (a) ( f + g )( x ) (b) ( f ( x ))- 1 (c) ( f · g )( x ) (d) f g ¶ ( x ) (e) g f ¶ ( x ) (f) ( f ◦ g )( x ) 2. Seja f ( x ) = 3- x x . Determine: (a) f ( x 2 )- ( f ( x )) 2 (b) f 1 x ¶- 1 f ( x ) (c) ( f ◦ f )( x ) 3. Dadas f ( x ) = ‰- x , x < x 2 , x ≥ e g ( x ) = ( 1 x , x < √ x , x ≥ , determine: (a) ( f ◦ g )( x ) (b) ( g ◦ f )( x ) Nos exerc´ ıcios 4. a 11., a partir do gr´afico da fun¸c˜ ao y = f ( x ) dado abaixo, esboce o gr´afico da fun¸c˜ ao dada. 4. y = f ( | x | ) 5. y = | f ( x ) | 6. y = f (- x ) 7. y =- f ( x ) 8. y = f ( x + 2) 9. y = f ( x ) + 3 10. y = f ( x ) + | f ( x ) | 2 11. y = f...
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LISTA_02 - Lista 2 de C´ alculo Aplicado I e C´ alculo...

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