Given f : R → R ∋ f(x) = x2 and g : R → R ∋ g(x) = x2
As f is defined from R to R, the domain of f = R.
As g is defined from C to C, the domain of g = C.
Two functions are equal only when the domain and codomain of both the functions are equal.
In this case, the domain of f ≠ domain of g.
Thus, f and g are not equal functions.
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