Question:
Let $f=\{(1,2),(3,5),(4,1)\}$ and $g=\{(1,3),(2,3),(5,1))$. Write down $g$ o $f$.
Solution:
To find: $g$ of
Formula used: $g$ o $f=g(f(x))$
Given: (i) $f=\{(1,2),(3,5),(4,1)\}$
(ii) $g=\{(1,3),(2,3),(5,1)\}$
We have,
$g \circ f(1)=g(f(1))=g(2)=3$
$g \circ f(3)=g(f(3))=g(5)=1$
$g \circ f(4)=g(f(4))=g(1)=3$
Ans) $\mathrm{g}$ o $\mathrm{f}=\{(1,3),(3,1),(4,3)\}$
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