How do you find the domain and range of $f(x)=sqrt(1-x)$ ?

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Answer 1 · 2017-08-11T11:22:24

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

$f(x) = sqrt(1-x)$ . Domain: Under root should not be negative

quantity. So Domain : $1-x >=0 or 1 >= x or x <=1$

Domain is $x <= 1 or (-oo .1]$

Range : Minimum value of $f(x) =0$ when $x=1$ and maximum

value is limitless $oo$ . So range : $f(x) >=0 or [0 ,oo)$

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

How do you find the domain and range of f(x)=sqrt(1-x) f(x)=sqrt(1-x)?