\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let the function \(f\) be defined by \(f(x) = \dfrac{2x+1}{x-3}\) for \(x \neq 3\).
  1. Find an expression for \(f^{-1}(x)\).
  2. Solve the equation \(f^{-1}(x) = 4\).

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