Let f$_1$(Z) =Z$^2$ and f$_2$(Z) = $\overline{z}$ be two complex variable functions. Here $\overline{z}$ is the complex conjugate of z. Choose the correct answer
- Both f$_1$(Z) and f$_2$(Z) are analytic
- Only f$_1$(Z) is analytic
- Only f$_2$(Z) is analytic
- Both f$_1$(Z) and f$_2$(Z) are not analytic