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For each pair of real numbers $a \ne b$, define the operation $\star$ as$(a \star b) = \frac{a + b}{a - b}.$What is the value of $((1 \star 2) \star 3)$?

Jul 18, 2021

#1
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In for the gruelling run for step by step....

for  $$1 \star 2$$, we can list it as

$$\frac{1+2}{1-2}=\frac{3}{-1}=-3$$

and for $$-3 \star 3$$ we can write it as:

$$\frac{0}{-6}$$

or, just $$\fbox{0}$$

Jul 18, 2021