AMC 10 Step by Step
Log inSign up
2005 AMC 10AProblem 2P1-10~1 minPrint
FunctionsSet up the equation/formula and compute; no special trick needed

For each pair of real numbers a≠ba \neq b , define the operation ⋆\star as

(a⋆b)=a+ba−b.(a \star b) = \frac{a+b}{a-b}.

What is the value of ((1⋆2)⋆3)((1 \star 2) \star 3) ?

Log in to save your progress.

Similar problems

Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.