If the range of the function

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If the range of the function f(x)=x2+x+cx2+2x+cf(x)=\frac{x^2+x+c}{x^2+2x+c}, where x∈Rx\in\mathbb{R}, is [56,32]\left[\frac56,\frac32\right], then cc is equal to: (a) −4-4 (b) 33 (c) 44 (d) 55

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