Final answer:
The solution set for the function g(x) = -3x + 12, given the domain {-2, 0, 2}, is calculated by plugging each domain value into the function, resulting in the set {18, 12, 6}.
Step-by-step explanation:
If g(x) = −3x + 12, and we want to find the solution set given that the domain of g is {−2, 0, 2}, we simply substitute each value from the domain into the function and calculate the corresponding range.
- For x = −2: g(−2) = (−3)(−2) + 12 = 6 + 12 = 18
- For x = 0: g(0) = (−3)(0) + 12 = 0 + 12 = 12
- For x = 2: g(2) = (−3)(2) + 12 = −6 + 12 = 6
The solution set consists of the outputs of the function g for each input in the domain, and thus is {18, 12, 6}.