Find the domain and range of each of the following real valued functions:
We know the square of a real number is never negative.
Clearly, f(x) takes real values only when x – 3 ≥ 0
⇒ x ≥ 3
∴ x ∈ [3, ∞)
Thus, domain of f = [3, ∞)
When x ≥ 3, we have x – 3 ≥ 0
Hence, 
∴ f(x) ∈ [0, ∞)
Thus, range of f = [0, ∞)
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