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1-6.

Angelica is working with two function machines,  and  . She wants to stack the two machines so that the output of the first machine becomes the input of the second. Her beginning input is .

  1. In what order must she put the machines to get a final output of ?

    Try substituting for in and then input the result into . If that does not work, switch the order.

    Substitute for each .

    Simplify.

    Substitute the output of the first function for in the second function.

  2. Is it possible for her to get a final output of ? If so, show how she could do that. If not, explain why not.

    See above (original incorrect solution).