Final answer:
The domain of the function f(x) = -3x + 2 corresponding to the range {-4, 0, 5} is found by solving three equations and results in the domain {2, 2/3, -1}.
Step-by-step explanation:
You are asking to find the domain of the function f(x) = -3x + 2 when the range is {-4, 0, 5}. To solve for the domain, we can set up three separate equations with f(x) corresponding to the given range values.
- For f(x) = -4: -3x + 2 = -4. Solve for x to get x = 2.
- For f(x) = 0: -3x + 2 = 0. Solve for x to get x = 2/3.
- For f(x) = 5: -3x + 2 = 5. Solve for x to get x = -1.
The domain corresponding to the given range of {-4, 0, 5} is {2, 2/3, -1}.