The functions f and g are defined as f(x) = 9 x 2 and g(x) =

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The functions f and g are defined as f(x) = 9 − x2 and g(x) = 14 − 6x, x ∈ ℝ.

a. On the same set of axes, sketch the graphs of y = f(x) and y = g(x). Indicate clearly the coordinates of any points where the graphs intersect with each other or the coordinate axes.

b. On your sketch, shade the region that satisfies the inequalities y > 0 and f(x) > g(x).

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