The x y-coordinate plane is given. Two horizontal dashed lines and a curve are graphed. A horizontal dashed line crosses the y-axis at y = 2. A horizontal dashed line crosses the y-axis at y = −1. The curve labeled f enters the window in the second quadrant nearly horizontal just below the line y = 2, goes down and right becoming less steep, crosses the y-axis at approximately y = 1.5, sharply changes direction at (3, 1), goes up and right becoming less steep, changes direction at (5, 4) goes down and right becoming more steep, passes through the point (6, 3), crosses the x-axis at x = 7, goes down and right becoming less steep, changes direction at (9, −3) goes up and right becoming less steep, and exits the window nearly horizontal below the line y = −1. Find each of the following for the given function g. (If an answer does not exist, enter DNE.) g(x) =    f(x) (a) the domains of g and g ′ (Enter your answer using interval notation.)