Question

Determine the points of discontinuity for the following function. y = x+2 / x^2 + 6x + 8What are the points of discontinuity? Select all that apply.

Answer 1

Given the rational equation;

`\begin{gathered} y=(x+2)/(x^2+6x+8) \\ \end{gathered}`
`\begin{gathered} y=(x+2)/(x^2+2x+4x+8) \\ \\ y=(x+2)/(x(x+2)+4(x+2)) \\ \\ y=(x+2)/((x+2)(x+4)) \end{gathered}`

Thus, the points of discontinuity are;

`\begin{gathered} x=-4................\text{ Essential Discontinuity} \\ \\ x=-2.................\text{ Removable Discontinuity} \end{gathered}`

CORRECT OPTIONS: D and F