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.)
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