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What if the order of the function machine is changed? would it change the output? justify your answer?

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L(3) = 3^2-1= 8 ----> R(8)=3(8+2)=30

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MrRoyalid

The output would change when the order of the function machine is changed

What are functions?

Functions are equations, graphs and tables that are used to represent a relation

The order of the function is given as:

  • [tex]L(x)=x^2 -1[/tex].
  • [tex]R(x) = 3(x + 2)[/tex].

When the order of the function is changed, then we have:

  • [tex]R(x) = 3(x + 2)[/tex].
  • [tex]L(x)=x^2 -1[/tex]

From the question, the input is 3.

So, we have:

[tex]R(3) = 3(3 + 2)[/tex]

[tex]R(3) = 3 \times 5[/tex]

[tex]R(3) = 15[/tex]

Take 15 as the input of function L(x).

So, we have:

[tex]L(15) = 15^2 - 1[/tex]

[tex]L(15) = 224[/tex]

Notice that the output of both functions are different.

Hence, the output would change when the order of the function machine is changed

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