What is the domain and range of $f (x) = {(3 - x)}^{\frac{1}{2}}$ $f(x) = (3 - x)^(1/2)$ ?

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Answer 1 · 2017-05-05T11:27:27

Domain : $x \leq 3 or (- \infty, 3]$ $x <= 3 or (- oo , 3]$
Range : $f (x) \geq 0 or [0, \infty)$ $f(x) >=0 or [0, oo)$

$f (x) = \sqrt{3 - x}$ $f(x)= sqrt (3-x)$ . 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]

What is the domain and range of f(x) = (3 - x)^(1/2)f(x)=(3−x)12f(x) = (3 - x)^(1/2)?