Answer:
x = -3 is the point of discontinuity.
Hence, option B is correct.
Step-by-step explanation:
Given the expression
[tex]y=\frac{5x+6}{x^2+6x+9}[/tex]
In order to determine the discontinuity, the denominator must be 0.
so let us solve the denominator to get the values of x
[tex]x^2+9x+9\:=0[/tex]
[tex]\left(x+3\right)^2=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x+3=0[/tex]
Subtract 3 from both sides
[tex]x+3-3=0-3[/tex]
[tex]x = -3[/tex]
Therefore, x = -3 is the point of discontinuity.
Hence, option B is correct.
