1) Name the domain restrictions that apply to the given rational expression.

x^2 + 7x +12 / x^2 + x - 6

Domain = for all x pertaining to reals minus x = 2 and x = -3

Step-by-step explanation:

For this expression to exist, the denominator must be different from zero, so

 applying quadratic equation

x1=(-1+5)/2=2, x2=(-1-5)/2=-3 so, (x-2)(x+3)≠0

Dm=(∀ x ∈ IR - (-3 ∧ 2))

Domain = for all x pertaining to reals minus x = 2 and x = -3

the 3rd on is correct

step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,