11.1 Calculate the value of \( a \) 11.2 Defermine the equation of \( g(x) \) if \( a(x)=f(-x) \) 113 Deternine the valuef \( (1) \) of \( x \) for which \( f^{-1}(x) \geq 2 \) 114 Is the imerse of \( f \) a function? Explan your answar -

The information provided does not include all the details needed to solve the problem. In particular, to calculate the value of \(a\) in part 11.1 or to work with the function \(f\) (whose definition or properties remain unspecified), we must know more about the function (for example, its explicit formula or conditions linking \(a\) to other parameters). To illustrate what type of information is needed, consider the following examples: 1. If the problem meant that \[ f(x) = ax + b \] and a condition such as \(f(2)=5\) was given, then we could set up an equation to solve for \(a\) (assuming \(b\) is known or there is an additional condition). 2. In part 11.2 you mention a new function defined by \[ a(x) = f(-x) \] and ask for the equation of \(g(x)\). Again, without knowing the form of \(f(x)\), we cannot determine \(g(x)\) explicitly. 3. Similarly, for part 113 concerning the inverse function \(f^{-1}(x)\) and solving \[ f^{-1}(x) \geq 2, \] we would need the definition of \(f\) (or at least its invertibility properties and domain/codomain) to proceed with the solution. 4. Finally, to answer part 114 regarding whether the inverse of \(f\) is a function, we must know if \(f\) is one-to-one (injective). Only one-to-one functions have inverses that are also functions. Without such specific details (e.g. the definition of \(f(x)\), any given conditions linking \(a\) with other parameters, or properties of the domain and range), it is not possible to provide a step‐by‐step solution. Please check the original problem statement for any additional conditions or the explicit form of \(f(x)\) so that we can proceed with solving the problem.