$f\left(x\right)=\sqrt{9-x^2}$ বাস্তব ফাংশনের ডোমেন ও রেঞ্জ যথাক্রমে কত?

$\begin{array}{l} f(x)=\sqrt{\left(9-x^{2}\right)}=y \\ \Rightarrow y^{2}=-x^{2}+9 \\ \Rightarrow x=\sqrt{9-y^{2}} \end{array}$

Domain of $f(x)$,

$\begin{array}{l} 9-x^{2} \geqslant 0 \\ x^{2} \geqslant 9 \\ x^{2} \leqslant \pm 3 \end{array}$

$\therefore$ Domo $f$ : $[-3,3]$

for -3

$x=0$

$\therefore \quad$ Range $f:[0,3]$