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- g[n_] := Assuming[1<=g<=2, NSolve[n==-2 Cos[Pi x], x]]
- {{g -> ConditionalExpression[0.31831 (-2.0944 + 6.28319 C[1]),
- C[1] [Element] Integers]},
- {g -> ConditionalExpression[0.31831 ( 2.0944 + 6.28319 C[1]),
- C[1] [Element] Integers]}}
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