Final answer:
The question involves determining discontinuities in a function g(x). For the example function f(x), which is a horizontal line between x = 0 and x = 20, there are no discontinuities. For g(x), actual discontinuities depend on its specific definition and behavior.
Step-by-step explanation:
The question asks to determine all possible discontinuities of a function g(x) and classify each as removable or non-removable. A removable discontinuity occurs when a function's graph has a hole at a certain point. In contrast, a non-removable discontinuity is present when a function's value jumps or the function goes to infinity at a certain point, as with an asymptote or a vertical line where the function is undefined.
If g(x) is similar to the function f(x), which is described as a horizontal line within the range 0 ≤ x ≤ 20, the function f(x) is continuous in this domain. Therefore, for f(x), there are no discontinuities within the given range. However, to accurately determine the discontinuities of the function g(x), we need information about its actual definition and the behavior at the boundaries and outside the given range.