Book: RS Aggarwal - Mathematics
Chapter: 3. Functions
Subject: Maths - Class 11th
Q. No. 9 of Exercise 3C
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9
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 greater than equals to 
.
The domain of the function, Df(x) = [
, ∞).
Putting 
in the function we get, f(x) = 0
It means the range of the function is defined for all the values greater than equals to 0.
The range of the function, Rf(x) = [0, ∞).
