Respuesta :

Question:

For which value(s) of x will the rational expression below be undefined? Check all that apply.

(x-3)(x+6)/x+7

Answer:

For x = -7 the rational expression is undefined

Solution:

Given rational expression is:

[tex]\dfrac{(x-3)(x+6)}{(x+7)}[/tex]

We have to find the value of x for which the rational expression becomes undefined

A rational expression is undefined when the denominator is equal to zero

Here, the denominator becomes zero when x = -7

Substitute x = -7 in given

[tex]\dfrac{(-7-3)(-7+6)}{(-7+7)} = \frac{-10 \times -1}{0} = \frac{10}{0}[/tex]

Thus for x = -7 the rational expression is undefined

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