If f (z) = exp(z) and g(z) = exp(−z), use a computer to visually explore the range of each of the following composite functions.

a. (f ◦ h)(z), where h(z) = z² − 5z + 6.

b. (g ◦ h)(z), where h(z) is as in a.

c. (g ◦ m)(z), where m(z) = 1/ z² − 4