Determine the points of discontinuity for the following rational function

Question

y=x+5/x^2+7x+10

Select all that apply
A x=0
B y=0
C x=-2
D y=-5
E y=-2
F x=-5
G there are no points of discontinuity

Answer 1

The points of discontinuity occur when the denominator of the function, x^2+7x+10, equals zero. This can be factored into (x+2)(x+5), so the points of discontinuity are x=-2 and x=-5.

Therefore, the points of discontinuity are: C x=-2 and F x=-5

So the correct options are C and F.