Let for . Identify the correct range of…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let g(x)=1xg(x)=\dfrac{1}{x} for x∈[−4,−1]∪[2,5]x\in[-4,-1]\cup[2,5]. Identify the correct range of gg. (a) [−1,−15]∪[14,12][-1,-\tfrac{1}{5}]\cup[\tfrac{1}{4},\tfrac{1}{2}] (b) [−1,−14]∪[15,12][-1,-\tfrac{1}{4}]\cup[\tfrac{1}{5},\tfrac{1}{2}] (c) [−14,−1]∪[15,12][-\tfrac{1}{4},-1]\cup[\tfrac{1}{5},\tfrac{1}{2}] (d) (−∞,−14]∪[15,∞)(-\infty,-\tfrac{1}{4}]\cup[\tfrac{1}{5},\infty)

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