Find the domain and the range of each of the following real function:


Need to find: Where the functions are defined.

The condition for the function to be defined,

So, the domain of the function is the set of all the real numbers lesser than 3.

The domain of the function, Df(x) = (-∞, 3).

The condition for the range of the function to be defined,



Both the conditions can’t be satisfied simultaneously. That means there is no range for the function f(x).