Answer:
The order that will result in a final output of 2 when the first input is 8 is as follows;
Third → Second → Fourth → First
Step-by-step explanation:
First gives;
y = -2·x + 34 = 18
Second gives;
y = -x/3 - 10 = -38/3
Third gives;
[tex]y =-\left | 3\cdot x \right |[/tex] = -24
Fourth gives;
y = (x - 2)² = 36
We have after several iterations;
Third gives;
[tex]y =-\left | 3\cdot x \right |[/tex] = -24
Next we input into the second to get;
y = -(-24)/3 - 10 = 24/3 - 10 = 8 - 10 = -2
Next we input into the fourth to get;
y = ((-2) - 2)² = (-4)² = 16
Next we input into the first to get;
y = -2×16 + 34 = -32 + 34 = 2
Which gives the order as follows;
Third → Second → Fourth → First
