Question Number 189643 by 073 last updated on 19/Mar/23
$$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{sinx}+\mathrm{cosx}}{\mathrm{3}} \\ $$$$\mathrm{R}_{\mathrm{f}\left(\mathrm{x}\right)} =? \\ $$
Answered by mehdee42 last updated on 19/Mar/23
![f(x)=((√2)/3)Sin(x+(π/4))⇒R_f =[−((√2)/3),((√2)/3)]](Q189653.png)
$${f}\left({x}\right)=\frac{\sqrt{\mathrm{2}}}{\mathrm{3}}{Sin}\left({x}+\frac{\pi}{\mathrm{4}}\right)\Rightarrow{R}_{{f}} =\left[−\frac{\sqrt{\mathrm{2}}}{\mathrm{3}},\frac{\sqrt{\mathrm{2}}}{\mathrm{3}}\right] \\ $$