Explain how the domain and range of a one to one function relate to the domain and range of its inverse function. Use grammatically correct complete sentences
1 answer
The domain and range of a one-to-one function and its inverse function are related in a unique way. In a one-to-one function, each input value in the domain maps to a unique output value in the range, and no two different input values can map to the same output value. Consequently, in the inverse function, the roles of the domain and range are switched. The domain of the inverse function consists of the range values of the original function, while the range of the inverse function encompasses the domain values of the original function. This means that the domain and range of a one-to-one function and its inverse function are interchanged.