Your teacher will give you a set of four function machines. Your team's job is to get a specific output by putting those

Question

Your teacher will give you a set of four function machines. Your team's job is to get a specific output by putting those machines in a particular order so that one machine's output becomes the next machine's input. As you work, discuss what you know about the kind of output each function produces to help you arrange the machines in an appropriate order. The four functions are reprinted below.
f(x)=√x
h(x) = 2x - 7
g(x) = -(x - 2)²
k(x) = - x/2 -1
a. In what order should you stack the machines so that when 6 is dropped into the first machine, and all four machines have had their effect, the last machine's output is 11?
b. What order will result in a final output of 131, 065 when the first input is 64?

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