Question

Se considera functia f:R->R, f(x)= x supra 2 +1.
a) Verificati egalitatea f(√3) +f(3√3) = 2f(2√3)
b) Reprezentati grafic functia.

Answer 1

f(x)=(x+2)/2
a)f(√3)=(√3+2)/2
f(3√3)=(3√3+2)/2
f(2√3)=(2√3+2)/2
(√3+2)/2+(3√3+2)/2=2·(2√3+2)/2
(4√3+4)/2=(2√3+2)
2(2√3+2)/2=2√3+2
2√3+2=2√3+2