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

Find any points of discontinuity for y = 5x+6/x2+6x+9-example-1
User Koffiman
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4.5k points

1 Answer

10 votes

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.

User Jai Dutt
by
4.6k points