Final answer:
The relationship between f(x) and g(x) is that g(x) represents an alteration or modification of the original function f(x).
Step-by-step explanation:
When a function f(x) undergoes a transformation g(x), the relationship between f(x) and g(x) is that g(x) represents an alteration or modification of the original function f(x). This can include transformations such as translations, reflections, and dilations. The transformation can change the shape, position, or size of the graph of the function f(x), but it still maintains some connection to the original function.