اگر $f(x)={{\log }_{۳}}(x-۱)$ و $g(x)={{۳}^{x-۲}}$ باشد، دامنهی $fog(x)$ کدام است؟
$_{{{3}^{x-2}}\rangle {{3}^{{}^\circ }}\Rightarrow x-2\rangle 0\Rightarrow x\rangle 2\Rightarrow {{D}_{fog}}=\left\{ x\in R\left| x\rangle 2 \right. \right\}=(2,+\infty )}^{{{D}_{fog}}=\left\{ x\in {{D}_{g}}\left| g(x)\in {{D}_{f}} \right. \right\}=\left\{ x\in R\left| {{3}^{x-2}}\rangle 1 \right. \right\}}$