Q. 3 D4.3( 3 Votes )

# Find the domain and range of each of the following real valued functions:

Answer :

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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