How do you find the domain and range of #f(x) = sqrt(x-4) +6#?

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Answer 1 · 2017-01-26T13:55:58

The domain is #x in [4, +oo[#
The range is #f(x) in [6,+oo[#

What is under the #sqrt# sign is #>=0#

#x-4>=0#

#x>=4#

The domain of #f(x)# is #D_f(x)= [4, +oo[#

When #x=4#, #f(4)=6#

#lim_(x->+o)f(x)=+oo#

The range is #R_f(x)=[6,+oo[#