Question

How do you simpify the rational expression and State any excluded values.x^2-x-6/x+2

 

A. x - 3, where x does not equal -2
 B. x -3, where x does not equal 3
 C. x - 2
 D., where x does not equal 2
1/x-2

Answer 1

`Domain:x\\eq-2\\\\(x^2-x-6)/(x+2)=(x^2+2x-3x-6)/(x+2)=(x(x+2)-3(x+2))/(x+2)\\\\=((x+2)(x-3))/(x+2)=x-3\\\\Answer:\boxed{A.\ x - 3,\ where\ x\ does\ not\ equal\ -2}`