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5-34.

two function machines Lacey and Richens each have their own personal function machines. Lacey’s machine, L(x), squares the input and then subtracts one. Richens’s function machine, R(x), adds 2 to the input and then multiplies the result by three. Homework Help ✎

  1. Write the equations that represent L(x) and R(x).

  2. Lacey and Richens decide to connect their two machines, so that Lacey’s output becomes Richens’s input. If 3 is the initial input, what is the eventual output?

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

L(x) = x2−1

R(x) = 3(x + 2)

30

Try computing the result for x = 3 if the order is reversed.