How do you find the domain and range of $sqrt{1 - x}$ ?

Question

1600 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-18T11:12:07

Domain : $x <=1 or x in (-oo,1]$
Range : $f(x) >=0 or f(x) in [0,oo)$

$f(x)= sqrt(1-x)$ , domain is possible input of $x ; f(x)$ is

undefined when $(1-x)<0 :. (1-x)>=0 or 1>=x$

or $x <=1 :.$ Domain : $x <=1 or x in (-oo,1]$

Range is resulting output of $f(x) :. f(x) >=0$

Range : $f(x) >=0 or f(x) in [0,oo)$

graph{sqrt (1-x) [-10, 10, -5, 5]}[Ans]

How do you find the domain and range of sqrt{1 - x}sqrt{1 - x}?