\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For the function \(f(x) = (\ln(x))^2\):
  1. Find the domain and range.
  2. Find any asymptotes and axes intercepts.
  3. Sketch the graph of \(y=f(x)\), showing all important features.
  4. Solve \(f(x)=4\) algebraically and check the solution on your graph.
  5. Find the inverse function \(f^{-1}\), for \(\boldsymbol{x \ge 1}\)

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