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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).