Question

explain how the domain and range of a one-to-one function and its inverse are related.
part: 0 / 2
part 1 of 2
the domain of a one-to-one function is the same as the select of its inverse.
options: domain, range

Explanation:

For a one - to - one function \(y = f(x)\) and its inverse function \(y=f^{-1}(x)\), the domain of \(f(x)\) (the set of all \(x\) - values for which \(f(x)\) is defined) becomes the range of \(f^{-1}(x)\) (the set of all \(y\) - values that \(f^{-1}(x)\) can take), and the range of \(f(x)\) (the set of all \(y\) - values that \(f(x)\) can take) becomes the domain of \(f^{-1}(x)\). So, the domain of a one - to - one function is the same as the range of its inverse.

Answer:

range