What are the domain and range of f (x) = (1/6) x + 2?

F (x) = x/6+2

There is no restriction upon the values of x, or the values of y.

So the domain and range are both the set of all real numbers.

x = (-oo, + oo) and y = (-oo, + oo)

This can be further seen by the fact that this is a line with a slope of 1/6. So there is no restriction upon x as all values of x produce real values of y. And y approaches - oo as x approaches - oo and y approaches + oo as x approaches + oo.