Soluções - Operações com funções
1.1) ( f - h ) (2) = f(2) - h(2) = ( 5 x 2 + 2 ) - ( 2 x 2 ) = 12 - 4 = 8
1.2) ( g : h ) (-3) = g(-3) : h(-3) = 3 : [ 2 x (-3) ] = 3 : (-6) = 3 x (- "1/6" ) = - "1/2"
1.3) ( f x g + h ) (5) = f(5) x g(5) + h(5) = ( 5 x 5 + 2 ) x 3 + ( 2 x 5 ) = 27 x 3 + 10 = 81 + 10 = 91
2.1) ( f x g ) (x) = f(x) x g(x) = (5x + 2) x 3 = 3 x 5x + 3 x 2 = 15x + 6
2.2) ( g x h ) (x) = g(x) x h(x) = 3 x 2x = 6x
3.1) m(x) = ( 3x - 2 ) x 5 = 5 x 3x - 5 x 2 = 15x - 10
3.2) n(x) = ( 2x + 1) x (-3) = -3 x 2x - 3 x 1 = -6x - 3
1.2) ( g : h ) (-3) = g(-3) : h(-3) = 3 : [ 2 x (-3) ] = 3 : (-6) = 3 x (- "1/6" ) = - "1/2"
1.3) ( f x g + h ) (5) = f(5) x g(5) + h(5) = ( 5 x 5 + 2 ) x 3 + ( 2 x 5 ) = 27 x 3 + 10 = 81 + 10 = 91
2.1) ( f x g ) (x) = f(x) x g(x) = (5x + 2) x 3 = 3 x 5x + 3 x 2 = 15x + 6
2.2) ( g x h ) (x) = g(x) x h(x) = 3 x 2x = 6x
3.1) m(x) = ( 3x - 2 ) x 5 = 5 x 3x - 5 x 2 = 15x - 10
3.2) n(x) = ( 2x + 1) x (-3) = -3 x 2x - 3 x 1 = -6x - 3