MathCastle
PrecalculusSuperchallenge

Precalculus · Superchallenge problem

The range of f(x)=x2+3x+1x2+x+1f(x)=\dfrac{x^2+3x+1}{x^2+x+1} (over all real xx) is a closed interval [m,M][m,M]. Find M−mM-m.

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