Question

Determinati functia de gradul 1,f:R->R, stiind ca f(x+1)=3(x+1)-2f(1).

Answer 1

Calcula pe f(1), inlocuim in relatia data x=0, obtinem f(1)=3-2f(1), deci 3f(1)=3 sau  f(1)=1, 
Avem f(x+1)=3(x+1)-2, substituim pe (x+1) cu  x si obtinem functia cautata 
f(x)=3x-2