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.

http://img.skitch.com/20080917-e4t3d...u8mnin3tbi.jpg

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- Sep 17th 2008, 01:19 PMgobbajeezalusPlease help with domain of composite functions!
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.

http://img.skitch.com/20080917-e4t3d...u8mnin3tbi.jpg - Sep 17th 2008, 01:33 PMmr fantastic
- Sep 17th 2008, 01:35 PM11rdc11
The domain of f(x) is $\displaystyle x-16 \geq 0$

The domain of g(x) is all real numbers

The domain of f(g(x)) = $\displaystyle \sqrt{-x -11}$ is

$\displaystyle -x -11 \geq 0$

$\displaystyle -x \geq 11$

$\displaystyle x \leq -11$

Edit: posted to late