Final answer:
The range of the inverse function is [0,2) ≤ y < 4.
Step-by-step explanation:
The domain of a function is the set of all possible input values, and the range is the set of all possible output values. In this case, the domain of the function is [0,2), which means that the function is defined for all real numbers from 0 to 2, including 0 but not including 2.
The range of the function is [-1,4), which means that the function can output any real number from -1 to 4, including -1 but not including 4.
To find the range of the inverse function, we need to swap the domain and range of the original function. So the domain of the inverse function will be [-1,4), and the range will be [0,2). The range of the inverse function can be written as a compound inequality as follows:
[0,2) ≤ y < 4]