Question

Fie fct f(x)=2x+1, g(x)=x+2 calculati (g0f)(x)=(f0f)(x)
0-este compus va rog arata-mi si explicati.

Answer 1

Răspuns:

x = 0

Explicație pas cu pas:

(gof)(x) = g(f(x)) = g(2x+1) = 2x+1+2 = 2x+3

(fof)(x) = f(f(x)) = f(2x+1) = 2(2x+1)+1 = 4x+2+1 = 4x+3

(gof)(x) = (fof)(x)

2x+3 = 4x+3

4x-2x = 0

2x = 0

x = 0