Question

find the domain of the rational function...f(y)= y+6/y^2-6y

Answer 1

the domain of a rational function is

when f(x) is your function, x is an element of real numbers and x cannot equal what makes it DNE.

Answer 2

y=R\{0}

Answer 3

Another hint:

solve y^2 - 6y = 0

for y

Whatever solutions you get, you toss them out of the domain of real numbers (since they make the denominator zero)