\(f: X \rightarrow Y\ \) and \(\ g: Y \rightarrow Z\) are one-to-one correspondence functions for the following three sets: \[X=\{1, 2, 3\},\;\; Y=\{a, b, 11\},\;\; Z=\{4, 5, 6\}. \]
If \(f(1)=a, g(11)=6 \) and \((g \circ f)(2) = 4\), what is the value of \[f(3)+g(b)?\]

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