Practice variation 3 of 3
Inverse function — Boundary k checks
Your question
For , compute when and when , and conclude whether an inverse exists in each case.
This practice question was inspired by Question 14(b) in the 2024 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?