SOLUTION: {{{ f(x)= sqrt(x+5) +3 }}}. How do I find the domain and range without a calculator?

Question 696354: . How do I find the domain and range without a calculator?
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
You cannot take the square root of a -ve number, so
Hence,

So the range is

is smallest when , ie , for all other values of x (subject to ) then
so
so then has a minimum values of 3 when

so the domain is or if you prefer
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