Question

Preciso de ajuda nessa...

f(x)>0,para todo real x, f(1)=3 e f(u+v)=f(u).f(v), calcule f(1/2),

Answer 1

f(x) > 0,para todo real x, f(1) = 3 e f(u+v) = f(u) . f(v), calcule f(1/2)

f(u+v) = f(u) · f(v)
f(1/2 + 1/2) = f(1/2) · f(1/2)
f(2/2) = f(1/2) · f(1/2)
f(1)= f(1/2) · f(1/2)
f(1/2)² = f(1)
f(1/2)² = 3
f(1/2) = +√3
f(1/2) = √3   lembre-se que f(x) > 0