Question

fie functia f;R-R f(x)=(a-3)x+5, a apartine R determinati a stiind ca punctul A(-2; radical 3) apartine graficul functiei

Answer 1

$\it f(x)=(a-3)x+5\\ \\ A(-2,\ \sqrt3)\in Gf \Rightarrow f(-2)=\sqrt3 \Rightarrow (a-3)\cdot(-2)+5=\sqrt3 \Rightarrow\ \\ \\ \Rightarrow -2a+6+5=\sqrt3 \Rightarrow 6+5-\sqrt3=2a \Rightarrow a=\dfrac{11-\sqrt3}{2}$