f={(1,2),(2,3),(3,4),(4,1)}

g={(1,3),(2,1),(3,4),(4,2),(5,1)}

find g o f, is g one to one explain

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- Jun 27th 2008, 06:55 AMtygracenI need help with functions
f={(1,2),(2,3),(3,4),(4,1)}

g={(1,3),(2,1),(3,4),(4,2),(5,1)}

find g o f, is g one to one explain - Jun 27th 2008, 08:12 AMnikhil
gof is given by

(1,1),(2,4),(3,2),(4,3) as

f(1)=2 and g(2)=1 therfor gof(1)=g(f(1))=g(2)=1so we obtained (1,1).

Remember domain of gof is domain of f so we will apply the above given procedure for domain of f only.

Since every element of domain is associated to a unique element so gof is one to one function.

But for g we have (2,1) and (5,1) both domain elements are associated to same element so g not one to one