Question

What is the domain and range of `f(x) = (3 - x)^(1/2)`?

Answer 1

Domain : `x <= 3 or (- oo , 3]`
Range : `f(x) >=0 or [0, oo)`

Explanation:

`f(x)= sqrt (3-x)`. for domain, under root should not be less than `0 :. (3-x) >=0 or x <= 3` or Domain : `(- oo , 3]`

Range is `f(x) >=0` or Range : `[0, oo)` graph{(3-x)^0.5 [-14.24, 14.23, -7.12, 7.12]} [Ans]