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Math  /  Algebra

QuestionThe domain of a one-to-one function ff is [1,∞)[1, \infty), and its range is [−3,∞)[-3, \infty). State the domain and the range of f−1f^{-1}.
What is the domain of f−1\mathrm{f}^{-1} ? The domain of r−1\mathrm{r}^{-1} is [−3,∞)[-3, \infty). (Type your answer in interval notation.) What is the range of f−1f^{-1} ? The range of f−1f^{-1} is □\square (Type your answer in interval notation.)

Studdy Solution
Since the domain of f f is [1,∞)[1, \infty), the range of f−1 f^{-1} is:
Range of f−1=[1,∞) \text{Range of } f^{-1} = [1, \infty)
The domain of f−1 f^{-1} is [−3,∞)[-3, \infty) and the range of f−1 f^{-1} is [1,∞)[1, \infty).

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