Solve each application of operations and composition of functions. U.S....

Solve each application of operations and composition of functions.

U.S. AIDS During the early years of the AIDS epidemic, cases and cumulative deaths reported for selected years x could be modeled by quadratic functions. For 1982–1994, the numbers of AIDS cases are modeled by

ƒ(x) = 3200(x - 1982)² + 1586

and the numbers of deaths are modeled by

g(x) = 1900(x - 1982)² + 619.