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Home > A2C > Chapter 6 > Lesson 6.1.2 > Problem 6-33


Lacey and Richens each have their own personal function machines. Lacey's, , squares the input and then subtracts one. Richen's function, , adds to the input and then multiplies the result by three.

  1. Write the equations that represent and .

  2. Lacey and Richens decide to connect their two machines, so that Lacey's output becomes Richens' input. Eventually, what is the output if is the initial input?

  3. What if the order of the machines was changed? Would it change the output? Justify your answer.

    Try computing the result for if the order is reversed.