Year 12 · Specialist Mathematics

One-to-one functions

Free examples and worked answers. No account needed.

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Practise the method.

Restricted domains and inverse functions.

Example 1

The given output followed by two inverse-operation stages.Trace the given output back towards the input39subtract 4divide by 5Work through the stages in order
Select each undo step and trace the given output back to its input.
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Answer:

Example 2

The restricted branch x greater than or equal to 4 of y equals (x minus 4) squared plus 4, with a movable output probe.xy0outputGiven branch: x ≥ 44
Move the output level. Does the original input lie to the left or right of the gold line x = 4?
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Answer:

Example 3

The given output followed by two inverse-operation stages.Trace the given output back towards the input14subtract 5divide by 9Work through the stages in order
Select each undo step and trace the given output back to its input.
Show worked answer

Answer: