Explanation
[tex]\mathrm{Function}\:f\left(x\right)\:\mathrm{is\:continuous\:on\:interval}\:\left[a,\:b\right]\:\mathrm{if\:it\:is\:continuous\:at\:every\:point.}[/tex]
So for the first one
[tex]\begin{gathered} f(x)=\frac{x-2}{x^2+3x+2} \\ This\text{ is discontinuous} \\ \end{gathered}[/tex]
For the second one
[tex]\begin{gathered} f(x)=\frac{4x^2+2x-6}{2} \\ This\text{ is also continuous} \end{gathered}[/tex]
For the last one
[tex]\begin{gathered} f(x)=\frac{2x^2+3x-1}{x+5} \\ This\text{ is discontinous} \end{gathered}[/tex]
Therefore, the answers are options 1 and 111
Thus, option C is correct
