Anyone knows how o solve this?

This is a conceptual question. The g(x) is an arbitrary function which intersects the x-axis at 3 points. That means it’s a 3-degree polynomial function. (or you may call it a cubic function)

The main idea of this question is **shifting the graph** without changing its actual shape.

For example,

g(x) (our arbitrary cubic function)

g(x - 5) (our **same** arbitrary function shifted by 5 units to the right)

So, If the original function g(x) has 3 intersection points in the x-axis, then g(x - 5) should have the same number of intersection points: 3.

To illustrate the idea, I have attached a sample arbitrary scenario.