Mod, Oh my God!

Algebra Level 3

Let,
$$\displaystyle f(x) = x^2-5x+6$$
$$\displaystyle g(x) = f(|x|)$$
$$\displaystyle h(x) = |g(x)|$$

Find the set of values of $$\displaystyle \mu$$, such that the equation $$\displaystyle h(x)-\mu=0$$ has exactly $$\displaystyle 8$$ real and distinct roots.

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