Question

Fie f:R-R, f(x) =ax+b aflați a, b€R știind că 3f(x) +2=3x+5

Answer 1

$3f(x)+2=3x+5\\ 3(ax+b)=3x+3\\ 3ax+3b=3x+3\\ \text{Identificand coeficientii obtinem:}\\ \left \{ {{3a=3} \atop {3b=3}} \right. \Leftrightarrow \left \{ {{a=1} \atop {b=1}} \right.$