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Given that the domain of a one-to-one function f is [-6,5] and the range of f is (-6,2], state the domain and range of f-¹.

User AbdurJ
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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].

User Burak Tokak
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