If $f : C \to C$ is defined by $f (z) = ¯ ¯ ¯ z$ (Where $¯ ¯ ¯ z$ is the conjugate of $z$ ) then $f (z)$ is

a surjection

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an injection only

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a bijection

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neither injection nor surjection

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Solution

The correct option is C a bijection
$f (z) = ¯ z$
$f (z)$ is both one - one & onto.
$∴ f (z)$ is a bijective function.

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