Find the domain and the range of the function below.

Question

Find the domain and the range of the function below.

 

g(y)=1/(y−2)

Answer 1

Domain is all Reals except 2 (treating y as the independent variable, associated with horizontal axis).

 

Range: g(y) can never be zero (because the domain of the inverse of g has x ≠0, and the domain of the inverse of a function is the range of the function).