It can be seen that both f(x) and g(x) are odd function, so the answer should also be symmetric about 0, excluding AC.

Substituting t=4 for calculation, we can find that when x=2, f(x)= 12, g(x)=2, indicating that the intersection point is above y=x;

When x=-2, f(x)=-4 and g(x)=-2, it means that the intersection point is below y = X. Then t=4 satisfies the condition of being on both sides of the straight line y = X, so D is excluded.

To sum up, choose B, I hope I can help you.