question_answer

Let \[f(x)\,=\left\{ _{2x+3,\,2\le \,x\,<3}^{{{x}^{2}}-4,0\,\,<\,x\,<\,2} \right.\], the quadratic equation whose roots are \[\underset{x\to {{2}^{-}}}{\mathop{lim}}\,\text{ }f(x)\]and \[\underset{x\to {{2}^{+}}}{\mathop{lim}}\,\text{ }f(x)\] is

A)  \[{{x}^{2}}-6x+9=0\]

B)  \[{{x}^{2}}-7x+8=0\]

C)  \[{{x}^{2}}-14x+49=0\]

D)  \[{{x}^{2}}-10x+21=0\]