Find the domain and range of each of the following real valued function: `f(x)=sqrt(x-3)` .

Explanation

Given,`f(x)=sqrt(x-3)`

As we know the square of a real number is never negative.


Now, f (x) takes real values only when` x – 3 >= 0 ,x >= 3 `

`x in [3, oo)`

Domain `(f) = [3, oo)`


Also,when` x >= 3`, we have `x – 3 >= 0`
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