Find any points of discontinuity for the rational function. y =
A. x = 6, x = 2, x = 8
B. x = 9 x = 7
C. x = –9, x = –7
D. x = –6, x = –2, x = –8

Option C. x = –9, x = –7

Step-by-step explanation:

we know that

In the rational function, the denominator cannot be equal to zero

so

In this problem

we have that the denominator is equal to

equate to zero

so

The solutions is  x=-9 and x=-7

so

For x=-7 or x=-9 the denominator is equal to zero

therefore

x=-9, x=-7 are points of discontinuity for the rational function given

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)