## Problematic Solution Example ### Overview The image displays a mathematical problem and its solution, along with a self-correction section and a cross-model correction section. ### Components/Axes - **Problem Statement**: The input problem is to find the largest x that is not in the domain of g(x) = f(f(x)). - **Solution Steps**: The solution involves identifying the function f(x), its domain, solving for the values of x that make the denominator of f(x) zero, substituting f(x) into g(x) to get the expression for g(x), simplifying the expression, identifying the values of x that make the denominator of g(x) zero, and determining the largest x that is not in the domain of g(x). ### Detailed Analysis or ### Content Details - **Step 1**: Identify the function f(x) and its domain. - **Step 2**: Solve for the values of x that make the denominator of f(x) zero. - **Step 3**: Substitute f(x) into g(x) to get the expression for g(x). - **Step 4**: Simplify the expression for g(x). - **Step 5**: Identify the values of x that make the denominator of g(x) zero. - **Step 6**: Identify the values of x that make the denominator of f(x) zero, which are also in the domain of g(x). - **Step 7**: Determine the largest x that is not in the domain of g(x). ### Key Observations - The solution involves multiple steps and requires careful attention to detail. - There are errors in the solution, as indicated by the self-correction and cross-model correction sections. ### Interpretation The data suggests that the solution to the problem is incorrect. The errors in the solution are due to incorrect simplification and identification of the values of x that make the denominator of g(x) zero. The correct answer is x = 2.