Answer
The points of discontinuity occur at $x = -5$ and $x = -1$.
Work Step by Step
Points of discontinuity occur where the denominator becomes undefined, which means that the denominators equal $0$.
Set each factor in the denominator equal to $0$ and solve for $x$ to find the discontinuities in this exercise:
First factor:
$x + 5 = 0$
Subtract $5$ from each side of the equation:
$x = -5$
Second factor:
$x + 1 = 0$
Subtract $1$ from each side of the equation:
$x = -1$
The points of discontinuity occur at $x = -5$ and $x = -1$.
