# Find the truth 7

Algebra Level 5

I) It is known that $$x$$ is a member of the set of complex numbers ( which includes all real numbers also ), then $$|x|$$ is always a positive real.

II) If $$f\left( g\left( x \right) \right) =x$$ for all $$x$$, then $$g\left( f\left( x \right) \right) =x$$ for all $$x$$.

III) It is not possible to have a complex number $$z$$, such that $$\left| z \right| =\left| z+1 \right| =\left| z-1 \right|$$.

Which of the above statements are true?

This is a part of set Find the Truth

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