Rational Inequalities

Solve and Analyze
[br]g(x) := (x^2 - 4)/(x^2 - 1)[br][br]Solve[g(x) < 0, x][br][br][br][br][b]Then explore:[/b][br][br]Numerator[g(x)][br][br]Denominator[g(x)][br][br]Solve[Numerator[g(x)] = 0, x][br][br]Solve[Denominator[g(x)] = 0, x]
Which values are excluded from the domain?[br][br]Are any solutions “missing” due to undefined values?
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Information: Rational Inequalities