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.
