Final answer:
The range of the function is -2.93, the pre-image of 25 is 9, and when f(x) = 4, the value of x is 2.
Step-by-step explanation:
The domain of the function f(x) = 3x - 2 is given as -0.31.
a. To find the range of the function, we need to plug in the given domain value into the function and solve for the range. Substituting x = -0.31 into the function gives f(-0.31) = 3(-0.31) - 2 = -2.93. Therefore, the range of the function is -2.93.
b. To find the pre-image of 25, we need to solve the equation 3x - 2 = 25. Adding 2 to both sides of the equation gives 3x = 27. Dividing both sides by 3 gives x = 9. Therefore, the pre-image of 25 is 9.
c. To find the value of x when f(x) = 4, we need to solve the equation 3x - 2 = 4. Adding 2 to both sides of the equation gives 3x = 6. Dividing both sides by 3 gives x = 2. Therefore, when f(x) = 4, the value of x is 2.