If f = {(2,3), (4,5), (6,7)} and gof = {(2,4), (4,6), (6,8)}, then using arrow diagram find
g
-1
.
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Answer:
Dom(gof)=dom(f)={1,3,4}.
(gof)(1)=g{f(1)}=g(2)=3,
(gof)(3)=g{f(3)}=g(5)=1
(gof)(4)=g{f(4)}=g(1)=3
∴gof={(1,3),(3,1),(4,3)}.
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