\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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The graphs of \(f(x) = \frac{1}{x}\) (blue) and \(g(x) = x\) (red) are shown below.
Solve \(f(x) = g(x)\).
\(S = \{-1 , 1\}\)
\(S = \{1\}\)
\(S = \{0\}\)
\(S = \{-1\}\)
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