The important redundancy

Algebra Level 3

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

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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