Question

Aflati coordonatele punctelor de intersectie ale graficelor functiilor f:R➡R,f(x)=2x²+3x+1 si g:R➡R,g(x)=2x+4

Answer 1

Pentru a afla coordonate punctelor de intersectie egalam cele doua functii:
f(x)=g(x)
2x²+3x+1=2x+4
2x²+x-3=0
Δ=1+4*2*3=25⇒√Δ=5
x₁=-1+5/4=1
x₂=-1-5/4=-3/2

g(1)=6
g(-3/2)=1
Asadar: Gf∩Gg={A(1,6) ; B(-3/2 , 1)}