Operaciones con funciones

-suma : f(x)+g(x)= (f+g)(x)

-resta : f(x)-g(x)= (f-g)(x)

-multiplicacion : f(x) * g(x)= (fg)(x)

-division : f(x)/g(x)= (f/g)(x); g(x)=0

g(x)/f(x)= (g/f)(x); f(x)=0

Ejemplo 1 . f(x)= 2x-4

g(x)= x-2

a.suma : (f+g)(x)=2x-4+x-2

=3x-6

b.resta : (f-g)(x)=2x-4-(x-2)->2x-4-x-2

=x-2

c.multiplicacion : (f *g )(x)=2x-4 * x-2

=2x2-4x-4x+8

=2x2-8x+8

d.division : (f/g)(x)= 2x-4/x-2

=2(x-2)/x-2

=2

Ejemplo 2. : f(x)=7x2+x

g(x)0=2x

hallar :

a.(f+g)(x)=7x2+x+2x

=7x2 + 3x

b.(f-g)(x)=2x-(7x2 + x)

=2x-7x2-x

= -x-7x2

c.(fg)(x)=(7x2+x)(2x)

=14x3 + 2x2

d.(f/g)(x)=7x2+x/2x

=x(7x+1)/2x

=7x+1/2

e.(g/f)(x)=2x/7x2+x

=2x/x(7x+1)

=2/7x+1

POR : Cherina Capella