Find the domain and the range of each of the following real function:
Given:
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).