Book: RS Aggarwal - Mathematics
Chapter: 3. Functions
Subject: Maths - Class 11th
Q. No. 7 of Exercise 3C
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7
Find the domain and the range of each of the following real function: f(x) = 
Given: f(x) = 
Need to find: Where the functions are defined.
Let, 
---- (1)
The condition for the function to be defined,
⇒ 
So, the domain of the function is the set of all the real numbers greater than 
.
The domain of the function, Df(x) = (
, ∞).
Now putting any value of x within the domain set we get the value of the function always a fraction whose denominator is not equals to 0.
The range of the function, Rf(x) = (0, 1).
