Find the domain: g(x)= 1/x - 3/x+2

Answer 1

can't divide by 0!

when is denominator equal to zero? when x = 0 (for 1/_x) and when x = -2 (for 3/_x+2)

hence,

g(x) = ¹ / _x - ³/ _x+2 for x < -2 and -2 < x < 0 and x > 0

Answer 2

all real numbers except zero