Question

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

Answer 1

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.