For 41:

Start by dividing the trapezoid into 1 rectangle and 2 triangles (draw a line from point B down perpendicular to the base - call that E, then draw a line from C down perpendicular to the base - call that F). The big triangle, DCF, has base 3, height 3, so its area is 4.5 units. The little triangle, ABE, has base 1, height 3, so its area is 1.5 units. That means in order to divide the whole object equally, we have to divide the rectangle so that three more units of area fall on the left side of the line. x=6.5 does this (10.5 units of area on the left of the rectangle, 7.5 on the right). E.

For 42:

If you start the problem by converting "1/2" to ".5", it becomes a lot easier conceptually. Judging by the answer you marked, I'm assuming you thought g(1/2) = 1/2, but actually it's g(1/2) = 1/(.5), which equals 2. Then plug "2" in for x in f(), and you get "(2) - 1/(2)", which is 3/2: K.