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 1.

The domain of the function, D_{f(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, R_{f(x)} = (0, 1)

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