The range of the function $g(x) = \frac{2}{2+4x^2}$ can be written as an interval $(a,b]$. What is $a+b$?
If \(x = \pm \infty\) then \(g(x) = 0\) so a = 0
If \(x = 0\) then \(g(x)=1 \) so b = 1
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