Answered

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

Find Any Points Of Discontinuity For Y 5x6x26x9 class=

Sagot :

absor201

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.

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