Question

If$f:C\to C$ is defined by $f\left(z\right)=\overline{z}$ (Where $\overline{z}$ is the conjugate of $z$) then $f\left(z\right)$ is

• A. a surjection
• B. an injection only
• C. a bijection
• D. neither injection nor surjection

Answer 1

The correct option is C a bijection

$f\left(z\right)=\overline{z}$
$f\left(z\right)$ is both one - one & onto.
$\therefore f\left(z\right)$ is a bijective function.