Funky Functions

Algebra Level 4

$\large f\left(\frac{1}{1996}\right)+f\left(\frac{2}{1996}\right)+f\left(\frac{3}{1996}\right)+ \ldots+f\left(\frac{1995}{1996}\right)$

Find the value of the summation above if $f\left( x \right) =\frac { { 9 }^{ x } }{ { 9 }^{ x }+3 }$ .

998.5 999 996.5 997 996 999.5 998 997.5