Question

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

Answer 1

Answer:

x = -3 is the point of discontinuity.

Hence, option B is correct.

Step-by-step explanation:

Given the expression

$y=\frac{5x+6}{x^2+6x+9}$

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.