Question

Dado las siguientes funciones polinomial resolverlos realizando las siguientes operaciones: (f + g)(x) (f - g)(x) (g - f)(x) f(x)= 9x^2+7x-3 g(x)= 3x^2-2x+5 (f + g)(x) (f - g)(x) (g - f)(x) f(x)= -5x^2+8x+7 g(x)= 2x^2-4x+5

Answer 1

Resolviendo las funciones aplicando las operaciones se tiene:

(f + g)(x)=12x^2+5x+2

(f - g)(x)=6x^2+9x-8

(g - f)(x) = -6x^2-9x+8

(f + g)(x)= -3x^2+4x+12

(f - g)(x)= -7x^2+12x-2

(g - f)(x) = 7x^2-12x+2

Primeras expresiones

f(x)= 9x^2+7x-3

g(x)= 3x^2-2x+5

(f + g)(x) = f(x) + g(x)

9x^2+7x-3 + (3x^2-2x+5)

(f + g)(x)=12x^2+5x+2

(f - g)(x) = f(x) - g(x)

9x^2+7x-3 - (3x^2-2x+5)

(f - g)(x)=6x^2+9x-8

(g - f)(x) = g(x) - f(x)

3x^2-2x+5 - (9x^2+7x-3)

(g - f)(x) = -6x^2-9x+8

Segundas expresiones

f(x)= -5x^2+8x+7

g(x)= 2x^2-4x+5

(f + g)(x) = f(x) + g(x)

-5x^2+8x+7 + (2x^2-4x+5)

(f + g)(x)= -3x^2+4x+12

(f - g)(x) = f(x) - g(x)

-5x^2+8x+7 - (2x^2-4x+5)

(f - g)(x)= -7x^2+12x-2

(g - f)(x) = g(x) - f(x)

2x^2-4x+5 - (-5x^2+8x+7)

(g - f)(x) = 7x^2-12x+2