Down With "Plug and Chug"

Algebra Level 2

Let \( f(x) = \dfrac {x+1}{x-1} \), then what is the value of \( f( f( f( f(2016) ) ) ) \)?

Hint: Try using algebra to calculate \(f(f(x))\) before you jump into the "plug and chug" routine with 2016.

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