Thus range
g(x) maps the non-negative real numbers to the set of non-negative real numbers: given any , take so y= g(x).
Now apply f(x) to such a number. If , then so . The range of is all .
is the set of positive real numbers. Adding 0 to that set gives the set of "non-negative" real numbers. You need that for the domain of g because you cannot take the square root of a negative number.And what's the latex command for the little + symbol that normally goes next to R in the domain?
Thanks for your help.