Suppose population 1 follows the equation f(x) = (1000) 1.2^x and population 2 follows the equation g(x) = 1000 + 800x

a) What is the initial population of populations 1 and 2.

b) How much is population 1 growing per year?

c) How much is population 2 growing per year?

d) For the values = 0, 1, 2, 3 calculate g(x)/f(x).

e) What is the limiting value: lim x g(x)/f(x) . HINT: Research L'Hopital's rule for finding a limit