Lacey and Richens each have a personal function machine. Lacey’s machine, L(x), squares the input and then subtracts 1. Richens’ function machine, R(x), adds 2 to the input and then multiplies the result by 3. Homework Help ✎
Write 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. If 3 is the initial input, what is the final output?
What if the order of the machines is changed? Would it change the output? Justify your answer.
R(x) = 3(x + 2)
Try computing the result for x = 3 if the order is reversed.