What is the domain and range of the function #g(x)=sqrt(x1)#?
1 Answer
Mar 26, 2015
Hello,
 The domain of
#g# is#[1,+infty[# ,  The range of
#g# is#[0,+infty[# .
Indeed,

A real number
#x# is in the domain#D# if and only if#sqrt(x1)# exists, it means#x1 >= 0# , or#x>=1# . Therefore#D = [1,+oo[# . 
The range is the set
#V# of all the values of the function#g# :
1) Because
2) On the other hand, if
Graphically :
Domain is the projection of the curve of
Range is the projection of the curve of
graph{sqrt(x1) [1.75, 18.25, 1.88, 8.12]}