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Let the functions f:(-1, 1) R and g: (-1, 1) (-1, 1) be defined by f(x)=2x-1| + |2x + 1| and g(x) = x-[x],

Let the functions f:(-1, 1) R and g: (-1, 1) (-1, 1) be defined by f(x)=2x-1| + |2x + 1| and g(x) = x-[x], where [x] denotes the greatest integer less than or equal to x. Let fog :(-1, 1) R be the composite function defined by (fog)(x) = f(g(x)). Suppose c is the number of points in the interval (-1,1) at which fog is NOT continuous, and suppose d is the number of points in the interval (-1,1) at which fog is NOT differentiable. Then the value of c + dis

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