Question

Find any points of discontinuity for the rational function.

1. (x + 6)(x + 2)(x + 8)
y = _____________________
(x + 9)(x + 7)


2. x - 8
y = _____________________
x^2 + 6x - 7

Answer 1

The first function is discontinuous when x = -9 and when x = -7
The second is discontinuous when x = -7 and when x = 1

There are no "points" of discontinuity, the curves approach an asymptote, not points.

Answer 2

Find the
point of discontinuity of the function
F(x) =𝒙
𝟐−𝟑𝒙+𝟐
𝒙
𝟐 −𝟓𝒙+𝟔