Find the domain of the rational function

Question

f(x)=  y+6

       ----------

       y^2-6y

Answer 1

Assuming that this should be f(y), a function of y, where y is the independent variable,

its domain is all y values except 0 and 6, because these would make an attempt to divide by zero.

Answer 2

I assume that it's

 

            x+6

 f(x) = -------

          x^2-6x

 

x^2-6x≠0

x(x-6)≠0

x≠0 and x≠6

Domain: x ∈ IR - {0,6}