Advanced Algebra

Function Composition

Work inside out—or reverse the whole machine.

Preparing your challenge…

Five untimed puzzles. Daily progress and personal bests save in this browser. Practice is unlimited. Hints reduce the round score by 15 points; a revealed solution earns 0. No leaderboard or online opponent.

How to play Function Composition

Evaluate the inner function first, then the outer one. At the highest level, solve for the input of a composite function. Practice includes linear composition, quadratic inner functions and reversing quadratic compositions with a restricted domain.

Choose Daily challenge for today’s shared set, or a practice level for a fresh set. Daily difficulty increases over five rounds. You may retry an incorrect answer; each incorrect check reduces that round’s score by 10. Hints cost 15. Reveal gives the worked solution for 0 points. Reloading resumes your daily round.