Operaciones Con Funciones

EJERCICIOS OPERACIONES Y COMPOSICION DE FUNCIONES LIBRO
1. SEAN f= {(4,1);(6,5);(5,4);(8,3);(9,2)} y g={(8,-5);(2,2);(5,-4)}
Calcular f + g , f – g , f x g, f /g con susrespectivos y recorridos

DOMINIO: f=(4,6,5,8,9)
G= (8,2,5}

Df∩Dg=(8,5)

* f+g
(f+g)(8)=3-5=-2 (8,-2) F+G = {(8,-2); (5,0) }
(f+g)(5)=4-4=0(5,0)

* f-g
(f-g)(8)=3+5=8 (8,8) F-G={(8,8);(5,8)}
(f-g)(5)=4+4=8 (5,8)

* fxg
(fxg)(8)=3x-5=-15 (8,-15) FXG={(8,-15); (5,-16)}
(fxg)(5)=4x-4=-16 (5,-16)* f/g
(f/g)(8)=-3/5 (8,-3/5) F/G={(8,-3/5); (5,-1) }
(f/g)(5)=-4/4=-1 (5,-1)

2. CALCULAR f + g , f – g , f /g dadas las funciones definidas por :
* f(x)=2x2-x+3gx=x2+1
F(x)+g(x) = f(x)-g(x) f(x)/g(x)
2x2-x+3 2x2-x+32x2-x+3 ; (2x-3)(x-1) ; (2x-3)
+ x2+1 - x2-1 x2-1 ; (x-1)(x+1) ; (x+1)
3x2-x+4x2-x+2

F+g= 3x2-x+4
F-g= x2-x+2
f/g= (2x-3)
(x+1)

* fx=x2-4 gx=x+2

F(x)+g(x) =f(x)-g(x) f(x)/g(x)
x2-4 x2-4 x2-4 ; (x+2)(x-2) ; (x-2)
+ x+2 -x-2x+2 ; (x+2) ;
x2+x-2 x2-x-6

F+g= x2+x-2
F-g= x2-x-6
f/g= (x-2 )

* fx=x gx=x-1F(x)+g(x) f(x)-g(x) f(x)/g(x)
x x x
+...