اگر $f=\left\{ (۱,۲),(۲,۵),(۰,۳),(۴,-۱) \right\}$ و $g=\left\{ (۲,۳),(-۱,۴),(۴,۱),(۳,۰) \right\}$ تابع $go{{f}^{-۱}}$ کدام است؟
$\begin{align} & f=\left\{ (1,2),(2,5),(0,3),(4,-1) \right\} \\ & \Rightarrow {{f}^{-1}}=\left\{ (2,1),(5,2),(3,0),(-1,4) \right\} \\ & {{D}_{{{f}^{-1}}}}=\left\{ 2,5,3,-1 \right\} \\ & g=\left\{ (2,3),(-1,4),(4,1),(3,0) \right\} \\ & g({{f}^{-1}}(2))=g(1):\,tashkil\,nemishavad \\ & g({{f}^{-1}}(5))=g(2)=3 \\ & g({{f}^{-1}}(3))=g(0):\,tashkil\,nemishavad \\ & g({{f}^{-1}}(-1))=g(4)=1 \\ & go{{f}^{-1}}=\left\{ (5,3),(-1,1) \right\} \\ \end{align}$