Let f: R → R and g: C → C be two functions defined as f(x) = x2 and g(x) = x2. Are they equal functions?

Answer:

f: R → R ∈ f(x) = x²

g : R → C ∈ g(x) = x²

Both the functions are equal only when the domain and codomain of both the functions are equal.

So, the domain of f ≠ domain of g.

∴ f and g are not equal functions.