Lista pre-prova 1

Apuntes

Lista pre-prova 1 UEM 1 Yerko Contreras Rojas (a) f ( x ) + 1; (b) f ( x + 1); (c) f (2 x ) (d) − 1 2 f ( x ); (e) f ( | x | ); (f) | f ( x ) | . 11) Dadas as fun ̧ c ̃ oes f e g, determine as compostas f ◦ g e g ◦ f e seus respectivos dom ́ ınios. (a) f ( x ) = 3 x e g ( x ) = 3 x + 2; (b) f ( x ) = x + 2 e g ( x ) = 4 x 2 − 1; (c) f ( x ) = √ x e g ( x ) = 3 x 2 + 2; 12) Dadas as fun ̧ c ̃ oes f ( x ) = { x 2 + 2 , se x ≤ 1 4 − x 2 , se x > 1 e g ( x ) = 2 − 3 x, determine as leis que definem f ◦ g e g ◦ f. 13) Considere as fun ̧ c ̃ oes f ( x ) =    − 2 x − 1 , se x ≤ 0 x 2 − 3 , se 0 < x ≤ 3 x, e x > 3 e g ( x ) = √ 1 − x. (a) Fa ̧ ca o esbo ̧ co do gr ́ afico de f ; (b) determine g ◦ f e seu respectivo dom ́ ınio. 14) Determine o dom ́ ınio das seguintes fun ̧ c ̃ oes: (a) f ( x ) = √− bx, b ∈ R (b) f ( x ) = ln ( x a ) , a ∈ R + (c) f ( x ) = ln(1 + e x ) (d) f ( x ) = √ 3 − x (e) f ( x ) = √ 6 + x − x 2 (f) f ( x ) = √ x 2 − 1 x − 2 (g) f ( x ) = ...