Find any points of discontinuity for y = 5x+6/x2+6x+9

Question

asked Mar 17, 2022 110k views

1 Answer

Jai Dutt · Answer 1 · 2022-03-23T09:21:16+0000

Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Explanation:

Given the expression

y=(5x+6)/(x^2+6x+9)

In order to determine the discontinuity, the denominator must be 0.

so let us solve the denominator to get the values of x

$x^2+9x+9\:=0$

$\left(x+3\right)^2=0$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

x+3=0

Subtract 3 from both sides

x+3-3=0-3

x = -3

Therefore, x = -3 is the point of discontinuity.

Hence, option B is correct.