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2005 AMC 10A Question 2

AMC10 · 2005 AMC 10A

Question 2

For each pair of real numbers $a \neq b,$ define the operation $\star$ as $$
(a \star b) = \frac{a+b}{a-b}.
$$

What is the value of $((1 \star 2) \star 3)?$
  1. $-\dfrac{2}{3}$
  2. $-\dfrac{1}{5}$
  3. $0$
  4. $\dfrac{1}{2}$
  5. This value is not defined.