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

1 Answer
Aug 11, 2017

Answer:

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

Explanation:

#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]