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1 Pure Mathematics

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Question 191

A function is defined as g(x)=arccos⁡xg(x) = \arccos xg(x)=arccosx.

State the maximum possible domain of ggg.

Select the correct option:

  1. {x∈R:0≤x≤π}\{x \in \mathbb{R} : 0 \le x \le \pi\}{x∈R:0≤x≤π}
  2. {x∈R:−1≤x≤1}\{x \in \mathbb{R} : -1 \le x \le 1\}{x∈R:−1≤x≤1}
  3. {x∈R:−π2≤x≤π2}\{x \in \mathbb{R} : -\frac{\pi}{2} \le x \le \frac{\pi}{2}\}{x∈R:−2π​≤x≤2π​}
  4. {x∈R:−1<x<1}\{x \in \mathbb{R} : -1 < x < 1\}{x∈R:−1<x<1}
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