Question

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 1

It is given that
f : R → R and g : C → C are two function defined as f (x) = x² and g (x) = x² .
Thus,
domain ( f ) = R and domain ( g ) = C .
Since, domain ( f ) ≠ domain ( g ),
 f (x) and g (x) are not equal functions.