For , the expression can take all real values if…

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

Problem

For x∈Rx \in R , the expression x2+2x+cx2+4x+3c\frac{x^2 + 2x + c}{x^2 + 4x + 3c} can take all real values if c∈c \in : (a) (1,2)(1, 2) (b) [0,1][0, 1] (c) (0,1)(0, 1) (d) (−1,0)(-1, 0)

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