Question

Domain and range of the real function f(x) =√x-3 are

Answer 1

Step-by-step explanation:

Let y=√x−3

What's under the √sign must be ≥ 0

Therefore,x−3≥0⇒x≥3

The domain is x∈[3,+∞)

When x=3, y=√3−3=0

And

lim

x→+∞

y=limx→+∞ √x−3=+∞

Therefore,

The range is y∈[0,∞)

graph{sqrt(x-3) [-12.77, 27.77, -9.9, 10.38]}