Inverse Function of a Piecewise Domain
Consider the function \(f(x) = \frac{2x+3}{x-1}\). It is known that by restricting the domain to \(x > 1\), the function becomes invertible. (a) Explain why the domain \(x > 1\) ensures the function is one-to-one and hence invertible. (b) Find the inverse function \(f^{-1}(x)\) for the restricted domain. (c) State the domain and range of […]