Find the domain and the range of each of the following real function:


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 1.

The domain of the function, Df(x) = (1, ∞).

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)