Final answer:
Without additional information about a second function g(x), we can only confirm that the domain of the resulting function h(x) when adding f(x) to g(x) is 0 ≤ x ≤ 20, based on the provided descriptions of f(x). Points such as (2,2) or (0,-3) on h(x) cannot be confirmed without further information.
Step-by-step explanation:
When we combine functions using addition, we end up with a new function, h(x), that reflects the sum of the values of the original functions at each point. Given the information, we can understand that f(x) is a horizontal line, which is described in the information as function f(x) for 0 ≤ x ≤ 20, indicating that it has a domain restricted to the interval from 0 to 20. Another function is not explicitly described, but if we were to add a function g(x) such that it does not limit the domain of h(x) more than f(x) does, the domain of h(x) would still be bounded by f(x).
Therefore:
- Option (a) domain: x≥ -2 is incorrect because the domain of f(x) starts at 0.
- Option (b) domain: x≥ 2 is conceivable but without information on the domain of g(x) it cannot be verified.
- Option (c) The point (2,2) is on h(x) may or may not be correct, depending on the specific functions combined; without additional information, we cannot make a definitive statement.
- Option (d) The point (-2,0) is on h(x) is incorrect because the domain of f(x) starts at 0.
- Option (e) The point (0,-3) is on h(x) is not verifiable without knowing the specifics of the second function being added to f(x).