H2 Maths 1.1 - Quadratic Inverse by Restricting Domain
What you will learn
- Goal: find the inverse of f(x) = 2 x^2 - 3 x - 1, which is not one-to-one over all reals.
- Restrict to the increasing branch x >= 3/4 (turning point from f'(x) = 0) so f becomes one-to-one.
- Complete the square: f(x) = 2 (x - 3/4)^2 - 17/8, so the range starts at -17/8.
Continue H2 Maths Functions Formula Sheet | Domain, Range & Inverses
Keep the same topic and move to the explanation or a quick check.