Let , where . Which of the following describes the range of…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let k(x)=∣x−2∣x+1k(x)=\dfrac{|x-2|}{x+1}, where x>−1x>-1. Which of the following describes the range of kk? (a) [0,1)[0,1) (b) (0,∞)(0,\infty) (c) [0,∞)[0,\infty) (d) (1,∞)(1,\infty)

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