Advanced Graphing of Modulus Equations
Consider the function \(f(x)=|2x-4|-3\). This function is obtained by applying a series of transformations to the basic absolute value function \(g(x)=|x|\). Answer the following: (a) Describe the transformations that convert \(g(x)\) into \(f(x)\). (b) Solve the inequality \(|2x-4|-3 \geq 1\). (c) State the domain and range of \(f(x)\).