A function machine is given as: If the output is 8, calculate the input. This is done by working out the inverse function. Working backwards, we must work out what mathematical operation undoes the original function. The opposite of Subtraction is Addition. The original function can therefore be reversed as follows: Therefore inserting 8 as the output gives Therefore if

Chapter 24, Worked example #2

A function machine is given as:

If the output is 8, calculate the input.
This is done by working out the inverse function.
Working backwards, we must work out what mathematical operation undoes the original function.
The opposite of ‘Subtraction’ is ‘Addition’.
The original function can therefore be reversed as follows:

Therefore inserting 8 as the output gives

Therefore if 8 is the output, 11 was the input.

Related Book For answer-question

Cambridge Checkpoint Lower Secondary Mathematics Student's Book 7

3rd Edition

Authors: Frankie Pimentel, Ric Pimentel, Terry Wall

ISBN: 9781398301948