Practice variation 1 of 3
Inverse function — Exponential plus linear
Your question
Let for .
(i) Explain why the inverse of is a function.
(ii) Let . By considering , evaluate .
This practice question was inspired by Question 14(a) in the 2023 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?