Question

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

Answer 1

Option C. x = –9, x = –7

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

`(x+9)(x+7)`

equate to zero

`(x+9)(x+7)=0`

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