[tex]\text{Pentru a determina punctul de intersectie ,mai intai egalam functiile:}\\f(x)=g(x)\\2x-1=-4x+1\\6x=2\\x=\dfrac{1}{3}\\\text{Calculam f}\left(\dfrac{1}{3}\right)\text{ sau }g\left(\dfrac{1}{3}\right)\text{(Rezultatul va fi la fel)}.\\f\left(\dfrac{1}{3}\right)=\dfrac{2}{3}-1=-\dfrac{1}{3}\\\text{Deci punctul de intersectie va fi }A\left(\dfrac{1}{3},-\dfrac{1}{3}\right)[/tex]