Question

If f=(1,2), (2,3), (3,4), (4,5), g=(1, -2), (3, -3), (5, -5), h=(1,0), (2,1), (3,2), then what is g o f o h?

Answer 1

first we do h, then we do f, then we do g

h sends 1 to 0, but 0 is not in the domain of f, so ignore that one
h sends 2 to 1, f sends 1 to 2 , but 2 is not in the domain of g, so that is out as well

h sends 3 to 2, f sends 2 to 3 and g sends 3 to -3, so the only one we have is
\[(3,-3)\]