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 equals to .


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


Putting in the function we get, f(x) = 0


It means the range of the function is defined for all the values greater than equals to 0.


The range of the function, Rf(x) = [0, ∞).


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