The domain of a function h(x) is x > 3, and the range is y ≥ –2. What are the domain and range of its inverse function, h–1(x)?A.Domain: x > –2Range: y > 3B.Domain: x ≥ –2Range: y > 3C.Domain: x > 3Range: y ≥ –2D.Domain: x ≥ 3Range: y > –2SUBMITarrow_backPREVIOUS
Question
The domain of a function h(x) is x > 3, and the range is y ≥ –2. What are the domain and range of its inverse function, h–1(x)?A.Domain: x > –2Range: y > 3B.Domain: x ≥ –2Range: y > 3C.Domain: x > 3Range: y ≥ –2D.Domain: x ≥ 3Range: y > –2SUBMITarrow_backPREVIOUS
Solution
The domain and range of a function and its inverse are swapped. So, if the domain of h(x) is x > 3 and the range is y ≥ –2, then the domain and range of its inverse function, h–1(x), would be:
Domain: x ≥ –2 Range: y > 3
So, the correct answer is B. Domain: x ≥ –2, Range: y > 3.
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