Hi everyone, I've been having trouble with finding the domain of composite functions. Can somebody please solve this problem for me? I think I have the answer but I'm not sure.
Hi everyone, I've been having trouble with finding the domain of composite functions. Can somebody please solve this problem for me? I think I have the answer but I'm not sure.
The easiest way of getting the maximal domain is to get the rule for f(g(x)):
$\displaystyle f(g(x)) = \sqrt{g(x) - 16} = \sqrt{(5 - x) - 16} = \sqrt{-x - 11}$. You should be able to get the maximal domain of this.