Define B(x) to be the area of the rectangle whose lower left corner is at the origin and whose upper right corner is at the point (x,). (a) Evaluate B(1), B(2) and B (3). (b) Show that B(x) = 1 for all x > 0. For f(x)=19-x) and g(x) = x-1: (a) evaluate fog(1), fog(3), fog(5), fog(7), fog(0). (b) evaluate fof(2), fof(5), fof(-2). (c) Does fof(x) = |x| for all values of x? 2 1 B(x)= area + - 1 X 2 3 4 +5