Question

f(x)= 3x³-4x²+5x, g(x)= (1-x)² hallar las funciones de f+g, f-g, fg y f/g con sus dominos

Por favor!!!!

Answer 1

Step-by-step explanation:

f(x) = 3x³-4x²+5x

g(x) = (1-x)² = x²-2x+1

=>( f+g) (x) = (3x³-4x²+5x) + ( x²-2x+1)

= 3x³-3x²+3x+1

=> (f-g)(x) = ( 3x³-4x²+5x) - ( x²-2x+1)

= 3x³-5x²+7x-1

=> (Fg)(x) = (3x³-4x²+5x) ( x²-2x+1)

= 3x^5-6x⁴+3x³-4x⁴+8x³-4x²+5x³-10x²+5x

= 3x^5-10x⁴+16x³-14x²+5x

(f/g)(x) = (3x³-4x²+5x) / (1-x)²

in f(x), g(x), f+g, f-g and fg

sub domain= R

in f/g sub domain = R-1