Question

find any points of discontinuity for the rational function
y=(x+6)(x+2)(x+8)/(x+9)(x+7)
a.x=6,x=2,x=8
b.x=9,x=7
c.x=-9,x=-7
d.x=-6,x=-2,x=-8

Answer 1

Points of discontinuity in rational functions occur when the denominator equals zero. Where do we have \[\Large (x+9)(x+7)=0\]?

Answer 2

Its c! right?

Answer 3

cause those points cancel it out.

Answer 4

@Br946 Yes, it is indeed C!

Answer 5

HOwever, it is a point of discontinuity because of the fact that they would make the denominator equal 0, which would make the function undefined.

Answer 6

Ok thank you!

Answer 7

You're welcome!