Question

Heya!

How are you?

So let f:{1,2,4}→{1,2,5} and g:{1,2,5}→{1,3} be given f={(1,2),(3,5),(4,1) and g={(1,3),(2,3),(5,1)}. Write down gof.
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Answer 1

The functions

f: {1, 2, 4} → {1, 2, 5}

and

g: {1, 2, 5} → {1, 3}

are defined as

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

and

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

As we know

gof(x)=g(f(x))

gof(1)= g(2) = 3

gof(3)=g(5)=1

gof(4)=g(1)=3

gof= { (1,3) , (3,1) , (4,3)