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