Disjoint Borel functions

For each a∈ωω, we define a Baire class one function fa:ωω→ωω which encodes a in a certain sense. We show that for each Borel g:ωω→ωω, fa∩g=∅ implies a∈Δ11(c) where c is any code for g. We generalize this theorem for g in a larger pointclass Γ. Specifically, when Γ=Δ21, a∈L[c]. Also for all n∈ω, when Γ=Δ3+n1, a∈M1+n(c).