Partial function.

[robust niche]

If I have a map X : R → R then we say that G⊆RXR and we say the binary relation G over sets R and R is G := { (x,y) ∣ y = 1/x were x ∈ R ∧ x ≠ 0 } and that this satisfies the functional property then this map is a partial function. Correct? and also how was my wording did I use the corrects terms. Thanks.

[tawny saddle]

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[sly oar]

yes, G : R -> R is a partial function with domain dom G = R \ {0}