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Let $f:\{1,3,4\} \rightarrow\{1,2,5\}$ and $g:\{1,2,5\} \rightarrow\{1,3\}$ be given by $f=\{(1,2),(3,5),(4,1)$ and $g=\{(1,3),(2,3),(5,1)\}$. Write down g of.
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$\mathrm{f}=\{(1,2),(3,5),(4,1)\} \mathrm{g}=\{(1,3),(2,3),(5,1)\}$
$\mathrm{f}(1)=2, \mathrm{~g}(2)=3 \Rightarrow \operatorname{gof}(1)=3$
$\mathrm{f}(3)=5, \mathrm{~g}(5)=1 \Rightarrow \operatorname{gof}(3)=1$
$\mathrm{f}(4)=1, \mathrm{~g}(1)=3 \Rightarrow \operatorname{gof}(4)=3$
$\Rightarrow \mathrm{gof}=\{(1,3),(3,1),(4,3)\}$
$\mathrm{f}(1)=2, \mathrm{~g}(2)=3 \Rightarrow \operatorname{gof}(1)=3$
$\mathrm{f}(3)=5, \mathrm{~g}(5)=1 \Rightarrow \operatorname{gof}(3)=1$
$\mathrm{f}(4)=1, \mathrm{~g}(1)=3 \Rightarrow \operatorname{gof}(4)=3$
$\Rightarrow \mathrm{gof}=\{(1,3),(3,1),(4,3)\}$
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