An infinite function is asked an uninfinite question that may hold an infinite answer

Algebra Level 3

\[f\left( x \right) =\frac { 1 }{ x } +\frac { 1 }{ { x }^{ 2 } } +\frac { 1 }{ { x }^{ 3 } } +\quad ...\]. Determine \(f^{ -1 }\left( 2015 \right) \)