List all restricted values sqrt 1 - 3x?

2 Answers
Apr 2, 2017

Answer:

All values of #x# so that #x>1/3#

Explanation:

We are given #sqrt(1-3x)#

As we cannot take square root of a negative number,

the restriction on values of #x# are given by

#1-3x<0#

or #1<3x#

or #3x>1#

or #x>1/3#

Apr 2, 2017

Answer:

the domain is #(-oo, 1/3]#
the restricted values are #(1/3, oo)#

Explanation:

#sqrt(1-3x)# => square root can't be negative, it can be zero or greater:
#1-3x>=0# => add #3x# to both sides:
#1>=3x# => divide both sides by 3:
#1/3>=x#
Or:
#x<=1/3# => the domain of the function

to find the restricted values:
#1-3x<0#
#1<3x#
#x>1/3#