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, D_{f(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, R_{f(x)} = [0, ∞).

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