Final answer:
The domain of f-¹ is (-6,2] and the range is [-6,5].
Step-by-step explanation:
It's important to note that for an inverse function to exist, the original function f(x) must be one-to-one (or injective), meaning that each distinct input corresponds to a distinct output.
Given that the domain of a one-to-one function f is [-6,5] and the range of f is (-6,2], we can determine the domain and range of f-¹.
The domain of f-¹ is the same as the range of f, which is (-6,2].
The range of f-¹ is the same as the domain of f, which is [-6,5].