Final answer:
To find the domain of the function f(x) = x + 2 for the range {-2,1,3}, solve for x in each case giving the domain {-4, -1, 1}.
Step-by-step explanation:
The function given is f(x) = x + 2. To find the domain with the specified range {-2, 1, 3}, we set up the equation f(x) = x + 2 equal to each value in the range and solve for x. This will give us the domain values that correspond to the given range.
- For f(x) = -2: x + 2 = -2 → x = -4
- For f(x) = 1: x + 2 = 1 → x = -1
- For f(x) = 3: x + 2 = 3 → x = 1
Thus, the domain for the given function that corresponds to the range {-2, 1, 3} is {-4, -1, 1}.