The function ggg is defined by
g(x)=3x2+6cosx g(x) = 3x^2 + 6\cos x g(x)=3x2+6cosxfor −π≤x≤π-\pi \le x \le \pi−π≤x≤π.
Determine whether the curve with equation y=g(x)y = g(x)y=g(x) has a point of inflection at the point where x=0x = 0x=0. Fully justify your answer.