If f = (1, 2), (2, 3), (3, 4), (4, 5),
g = (1, -2), (3, -3), (5, -5), and
h = (1, 0), (2, 1), (3, 2),
Help?
1. (f)/(h)
2. g o f o h
domain of f is {1,2,3,4}
domain of g is {1,3,5}
domain of h is {1,2,3}
f/h can only be defined for {1,2,3}. In fact, it is only defined for {2,3}.
f/h = (2,3),(3,2)
if we call gofoh = z,
z(1) = g(f(h(1))) = g(f(0)) bzzt 0 not in domain of f
z(2) = g(f(h(2))) = g(f(1)) = g(2) bzzt 2 not in domain of g
z(3) = g(f(h(3))) = g(f(2)) = g(3) = -3
z(4) = g(f(h(4))) bzzt 4 and 5 not in domain of h