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Work out the input of this function machine.

June 15, 2026Mathematics

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Answer

\text{8}

3 steps

Identify the output and the operations in reverse order.
The output is 12. The operations, in order from input to output, are "multiply by 3" and then "divide by 2". To find the input, we reverse these operations starting from the output.
Reverse the last operation.
The last operation was "divide by 2". The inverse operation is "multiply by 2".
Apply this to the output:
$12 \times 2 = 24$
Reverse the first operation.
The first operation was "multiply by 3". The inverse operation is "divide by 3".
Apply this to the result from Step 2:
$24 \div 3 = 8$
The input of the function machine is $\text{8}$ .

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