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1-4.

Angelica is working with function machines. She has the two machines shown at right. She wants to put them in order so that the output of the first machine becomes the input of the second. She wants to use a beginning input of 6. Homework Help ✎

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

This function machine shows an arrow going into the machine.  The rule within the machine is: y = the square root of the quantity x minus 5. There is an arrow exiting the machine.

This function machine shows an arrow going into the machine.  The rule within the machine is: y = x squared minus 6. There is an arrow exiting the machine.

Substitute for each in the first function.

Substitute the answer of the first
equation for in the second equation.



INCORRECT! Try Again!

Substitute into the nd equation first!


Substitute the answer of the nd
equation for in the 1st equation.


CORRECT!

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

    See above (Try 1).