Question

Uma Função F: R --> R*+ é tal que F(a+b) = f(a).f(b) e F(1)=9
Calcular:

a) F(2)
b)F(0)
c) F(1/2)

Respostas:
A = 81
B= 1
C=3

Answer 1

f(0+1)=f(0).f(1) f(1) = f(0) f(1) f(0) =1 f(2)= f(1+1) = f(1) f(1) = 9 x 9 = 81 f(1/2 + 1/2) = f(1/2) f(1/2) f(1) = [f(1/2)]^2 9 = [f(1/2)]^2 f(1/2) = - 3 ó f(1/2) = 3