The range of the function

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The range of the function f(x)=x2+x+2x2+x+1f(x)=\frac{x^2+x+2}{x^2+x+1}, where x∈Rx\in\mathbb{R}, is (1) (1,∞)(1,\infty) (2) (1,11/7)(1,11/7) (3) (1,7/3](1,7/3] (4) (1,7/5)(1,7/5)

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