Let's make the problem simpler by naming [tex]{(1.14)}^{x} = t[/tex] Then, [tex]f(x) = 600t \\ g(x) = 450t[/tex] Since we're trying to find the total Bisons in both regions, it is the sum of the two functions: [tex]h(x) = f(x) + g(x)[/tex] Substituting in their values, [tex]h(x) = (600t) + (450t) = 1050t[/tex] Finally, let's make sure to plug in the true value of t again: [tex]h(x) = 1050t = 1050 {(1.14)}^{x} [/tex] Thus, A is the correct answer.
