\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find two functions \(f\) and \(g\) such that \(f(x) + g(x) = \dfrac{1}{x} + (x+1)^2\).
  • \(f(x)=\)
  • \(g(x)=\)