find the domain of and write answer in interval notation 1 3

find the domain of and write answer in interval notation

1) 3x-1 - 2x+1

2) 2x³/ x²+x-6

1) (3x-1) - (2x+1)

(3x-1) >=0 ==>x >=1/3 =>x =[1/3,)

(2x+1)>=0 =>x>= -1/2 =>x =[-1/2,)

intersection of two domains is [1/3,)

so domain of (3x-1) - (2x+1) is [1/3,)

2)2x³/(x²+x-6)

(x²+x-6)0

(x²+3x-2x-6)0

x(x+3)-2(x+3)0

(x+3)(x-2)0

x-3 ,x2

x=(-,-3)U(-3,2)U(2,)