Mathematics

Mathematics

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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