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

1 Answer
Binayaka C.
Jul 18, 2018

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

Explanation:

#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]

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