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Practice variation 3 of 3

Inverse function — Parallel possible

Your question

Can the tangents to and be parallel at an intersection on ?

  1. Yes, when , i.e.
  2. Never
  3. Only when
  4. Only when the functions are constant

This practice question was inspired by Question 9 in the 2022 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

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