Question

Which domain restrictions apply to the rational expression?

x^2+5x+6/x^2−9
Select two correct answers.

Question 1 options:

x≠−3

x≠−2

x≠−1

x≠1

x≠2

x≠3

Answer 1

1) it must be fulfilled that the denominator is different from zero, then for this expression

x^2 -9 ⇒ x^2-3^2 = (x-3)(x+3)⇒ (x-3)(x+3) = 0 ⇒ x = 3 o x = -3 , the dominium is all numbers reals except 3 and -3