The shaded region shown below is bounded by the functions f, of, x, equals, minus, 3, x, squared, plus, 9f(x)=−3x2+9 and g, of, x, equals, minus, 2, x, plus, 7g(x)=−2x+7 and the xx and yy axes. Find the area of the shaded region using a calculator. Round your answer to the nearest thousandth.