(Step-by-Step) Let g(x)= (x^2-6x+8)/(x^2-5x+6) x>2 , 2x-2 0≤ x<2 , -2x+2 x<0
Question: Let
\[g\left( x \right)=\left\{ \begin{aligned} & \frac{{{x}^{2}}-6x+8}{{{x}^{2}}-5x+6}\,\,\,\,\,\,\,\,\,x>2 \\ & 2x-2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0\le x<2 \\ & -2x+2\,\,\,\,\,\,\,\,\,\,\,\,\,\,x<0 \\ \end{aligned} \right.\]- Show that \(g\left( x \right)\) is continuous on the interval [5, 8].
- Find all points of discontinuity for \(g\left( x \right)\).
Deliverable: Word Document 
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