\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let the functions \(f\) and \(g\) be defined by the rules \(f(x) = \dfrac{1}{x-4}\) and \(g(x) = \sqrt{x-1}\). Let \(h = f \times g\).
  1. Find the domain of \(f\) and the domain of \(g\).
  2. Find the domain of the combined function \(h\).
  3. Calculate \(h(5)\).

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