Question

How do you find the domain and range of `P(r)= 3/(sqrtr)`?

Answer 1

Domain 0f `P(r)` is the set of all positive real numbers i.e.
`+R`.
Range 0f `P(r)` is the set of all positive real numbers i.e.
`+R`.

Explanation:

We know that anything divided by 0 is undefined or infinity and square root of negative numbers is not real . So we need to ensure that value of r is not equal to 0 or any negative numbers since it would not result in real values.

Therefore, Domain 0f `P(r)` is the set of all positive real numbers i.e.
`+R`.
Since the denominator is positive (as accepts only positive values) hence the function would always return a positive real number.

Therefore, Range 0f `P(r)` is the set of all positive real numbers i.e.
`+R`.