If y(x) = 3x – 2 and g(x) = 2x+1, find (f- g)(x).
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<h3>Answer: Venn Diagram is below</h3>
The rectangle represents the universal set (marked as "set U"). Everything is contained in this rectangle.
Circle A represents set A = {a, b, e, f, h, j}
Circle B represents set B = {b, c, d, f, j}
The common elements between the two sets are {b, f, j}, so we'll write these three values in the overlapping portion of the two circles.
The items {a,e,h} will go in circle A, but not in the overlapping portion since they are found only in set A.
Similarly we'll have {c,d} go in circle B but not in the overlapping portion since these items are only found in set B.
The remaining terms {g, i, k} go outside both circles, but inside the rectangle, because neither of these elements are in set A or set B.