Question Number 26313 by Tinkutara last updated on 24/Dec/17
![If domain of y = f(x) is [−3, 2] and g(x) = f(∣[x]∣) ([∙] denotes the greatest integer function), then domain of g(x) is](https://www.tinkutara.com/question/Q26313.png)
$$\mathrm{If}\:\mathrm{domain}\:\mathrm{of}\:{y}\:=\:{f}\left({x}\right)\:\mathrm{is}\:\left[−\mathrm{3},\:\mathrm{2}\right]\:\mathrm{and} \\ $$$${g}\left({x}\right)\:=\:{f}\left(\mid\left[{x}\right]\mid\right)\:\left(\left[\centerdot\right]\:\mathrm{denotes}\:\mathrm{the}\:\mathrm{greatest}\right. \\ $$$$\left.\mathrm{integer}\:\mathrm{function}\right),\:\mathrm{then}\:\mathrm{domain}\:\mathrm{of}\:{g}\left({x}\right) \\ $$$$\mathrm{is} \\ $$