Question

Let $f:R\to R$ and $g:C\to C$ be two functions defined as $f\left(x\right)=x^2$ and $g\left(x\right)=x^2$. Are they equal functions?

Answer 1

We have,
$f:R\to R$ and $g:C\to C$
$\therefore$ Domain (f) = R and Domain (g) = C
$\therefore$ Domain (f) $\ne$ Domain (g) = C
$\therefore$ f(x) and g(x) are not equal functions.