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If f=\{(1,2),(3,4),(5,6)\} and g=\{(2,4),(3,5),(4,1)\}, then the value of f \circ g(3)+ go f(1) is

Option: 1

10


Option: 2

8


Option: 3

4


Option: 4

0


Answers (1)

best_answer

Clearly  f(1)=2, f(3)=4, f(5)=6 

and  g(2)=4, g(3)=5, g(4)=1 

So, \begin{aligned} &f \circ g(3)=f(g(3))=f(5)=6 \\ \end{aligned}

\begin{aligned} &g \circ f(1)=g(f(1))=g(2)=4 \\ \\So,\,\,&f \circ g(3)+g \circ f(1)=6+4=10 \end{aligned}

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SANGALDEEP SINGH

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