Solve each application of operations and composition of functions. Chin...

Solve each application of operations and composition of functions.

China’s Energy Production Estimated energy production in China is shown in the figure. The function ƒ computes total coal production, the function g total coal and oil production. Energy units are in million metric tons of oil equivalent (Mtoe). Let the function h compute China’s oil production. (Source: Priddle, R., Coal in the Energy Supply of China, Coal Energy Advisory Board/ International Energy Agency.)

(a) Write an equation that relates ƒ(x), g(x), and h(x).

(b) Evaluate h(1996) and h(2006).

(c) Determine a formula for h. (Hint: Find formulas for ƒ(x) and g(x) first.)