### Home > AC > Chapter 13 > Lesson 13.IF2-S > Problem 6-33

6-33.

Lacey and Richens each have their own personal function machines. Lacey's, **L****(****x****), squares the input and then subtracts one. Richen's function,****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' input. Eventually, what is the output if 3 is the initial input?

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.