# The important redundancy

Algebra Level 2

$\large f(x)=\frac{9^x}{9^x+3}$

Suppose we define $f(x)$ as above. Let $a=f(x)+f(1-x)$ and $b=f\left(\frac1{1996}\right) + f\left(\frac2{1996}\right) + f\left(\frac3{1996}\right)+\ldots+ f\left(\frac{1995}{1996}\right).$

Evaluate $a + b$.

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