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Let f:[0, 1] [0, 1] be defined by f(x) = -1-x = 1 + x 0x1 and g:[0, 1] [0, 1] be defined by


Let f:[0, 1] [0, 1] be defined by f(x) = -1-x = 1 + x 0x1 and g:[0, 1] [0, 1] be defined by g(x) = 4x(1-x), 0x1. Determine the functions fog and gof. Note that [0,1] stands for the set of all real members x that satisfy the condition 0x1.

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