24 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. (5) b On your sketch, shade the region that satisfies the inequalities y > 0 and f(x) > g(x). (1)
Added by Brenda M.
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Start by finding the x-intercepts of the graphs. These are the points where the graphs intersect with the x-axis. To find the x-intercept of f(x), set y = 0 in the equation f(x) = 9 - x and solve for x: 0 = 9 - x x = 9 So the x-intercept of f(x) is (9, 0). To Show more…
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