### Home > CCA2 > Chapter 5 > Lesson 5.1.2 > Problem 5-34

5-34.

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 ✎

Write the equations that represent

*L*(*x*) and*R*(*x*).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?

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

*L*(*x*) = *x*^{2}−1

*R*(*x*) = 3(*x* + 2)

30

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