Refer to the attached image.
Plot the given points of function g(x) that is (-2,4) , (-1,1) and (0,-2).
Join the line through these plotted points.
We observe that the lines f(x) and g(x) intersect each other.
The point of intersection of lines f(x) and g(x) is (-1,1)
(-1,1) is a coordinate with negative x co-ordinate and positive y co-ordinate.
Therefore, Yes, lines f(x) and g(x) intersect with a negative x co-ordinate.
Therefore, Option B is correct.