Question

what is the quotient (6-x)/(x^2 + 2x - 3) + (x^2 - 4x - 12)/(x^2 + 4x + 3) in simplified form? state any restrictions on the variable.

x not equal -3, -3, 1, 6
x not equal -3, -2, 6
x not equal -2, 1
x not equal -2

choose from answerchoice correct one above

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer choice is: x not equal -2, 1

Answer 2

from the original equation,

(6-x)/(x^2 + 2x - 3) + (x^2 - 4x - 12)/(x^2 + 4x + 3)
= (6-x)/((x+3)(x-1)) + ((x-6)(x+2))/((x+3)(x+1)
x ≠ -3,-1,1
simplified, we get
(x-6)(x^2-3) / (x+3)(x^2-1)
so no new restrictions, In fact, x=6 or -2 is a solution

Answer 3

[AI-generated answer — Bot GPT 3.5]

The correct answer is that there are no new restrictions on x, and in fact, x = 6 or -2 is a solution.