Question

Va rog frumos am nevoie

Answer 1

Răspuns:

Explicație pas cu pas:

a) f(0)=f(0+0)=f(0) +f(0)+g(0+0)=2f(0)+g(0)=2f(0)+0

f(0)=2f(0) |- f(0)

0=f(0)

f(0)=0

f(x) =f(x+0)=f(x) +f(0)+g(x+0)= f(x)+f(0)+g(x+0)=f(x)+g(x)

f(x)=f(x)+g(x)⇒g(x)=0, ∀x∈R

f(0)=0 =f(x-x)= f(x) +f(-x) +g(x-x) = f(x) +f(-x)+g(0)

0 =f(x) +f(-x)

f(-x) =-f(x) , f(x) impara