Final answer:
The domain and range for the function g(x) = -x + 8 are both all real numbers, thus the domain is (-∞, ∞) and the range is (-∞, ∞).
Step-by-step explanation:
The domain of a function is the set of all possible input values (x-values) for which the function is defined, while the range is the set of all possible output values (y-values) that the function can produce.
For the function g(x) = -1x + 5 + 3, which simplifies to g(x) = -x + 8, the domain would be all real numbers because there is no restriction on the values that x can take. Therefore, the domain is (-∞, ∞). The range is also all real numbers because for any real value of x, you can get a corresponding real value for g(x). So the range is also (-∞, ∞).