# Functions \$

Algebra Level 3

Let us define a binary operator,  such that

$(a,b) = \begin{cases} \frac{ab-a+2}{2a} & , \quad & \text{ if } a+b \leq 3 \\ \frac{ab-b-2}{-2b} & , \quad & \text{ if } a+b > 3 \\ \end{cases}$

Find $$(2,1) + (2,4)$$.

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