Demystifying - Inverse functions

Drills

Finding f⁻¹(x) by rearranging y = f(x), and how the inverse undoes it.

Author note — to cover (Higher)

Higher page, per the A7 braces. Find f⁻¹(x) by writing y = f(x), rearranging for x and swapping letters, for linear rules and simple fractions like f(x) = (x + 2)/3; interpret the inverse as undoing, so f⁻¹(f(x)) = x. Domain restrictions and reflection in y = x are A level. (A7)

  • Fluency — direct questions on inverse functions, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Inverse functions.