Suppose g A B and f B C are functions where A 2 4 6 8 10 B

Suppose g: A B and f: B C are functions where
A = {2, 4, 6, 8, 10}, B = {w, x, y, z}, C = {-1, 0, 1};
g is defined by g = {(2, x), (4, w), (6, y), (8, w), (10, z)}; and
f is defined by f = {(w, 0), (x, 0), (y, 1), (z, -1)}.
Find f ° g.

THIS IS A DISCRETE MATH QUESTION

Solution

f ° g= f(g) = f(x,w,y,w,z}= {(x,0),(w,0),(y,1),(w,0),(z,-1)}