Mark (√) against the correct answer in the following:

Question:

Mark (√) against the correct answer in the following:

If $f=\{(1,2),(3,5),(4,1)\}$ and $g=\{(2,3),(5,1),(1,3)\}$ then $(g \circ f)=?$

A. $\{(3,1),(1,3),(3,4)\}$

B. $\{(1,3),(3,1),(4,3)\}$

C. $\{(3,4),(4,3),(1,3)\}$

D. $\{(2,5),(5,2),(1,5)\}$

 

Solution:

$g=\{(2,3),(5,1),(1,3)\}$

$(g \circ f)=\{(\operatorname{dom}(f), 3),(\operatorname{dom}(f), 1),(\operatorname{dom}(f), 3)\}$

$\Rightarrow(g \circ f)=\{(1,3),(3,1),(4,3)\}$

 

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