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).