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Question

If $f(x)=\left\{\begin{array}{cc}x^2-1, & 0< x<2 \\ 2 x+3, & 2 \leq x<3\end{array}\right.$,

the quadratic equation whose roots are $\lim _\limits{x \rightarrow 2^{-}} f(x)$ and $\lim _\limits{x \rightarrow 2^{+}} f(x)$ is

$x^2-14 x+49=0$
$x^2-10 x+21=0$
$x^2-6 x+9=0$
$x^2-7 x+8=0$

Solution

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