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