Book: RS Aggarwal - Mathematics
Chapter: 3. Functions
Subject: Maths - Class 11th
Q. No. 10 of Exercise 3C
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10
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).
