Composite Function

1. Sep 12, 2009

Precursor

1. The problem statement, all variables and given/known data
http://img171.imageshack.us/img171/543/pro3.png [Broken]

3. The attempt at a solution
$$= f(g(h(x)))$$
$$= f(g(\sqrt{x+3}))$$
$$= f(cos\sqrt{x+3})$$
$$= \frac{2}{cos\sqrt{x+3}+1}$$

Is this right, and am I showing enough work to get full marks? Do I need restrictions for example?

Last edited by a moderator: May 4, 2017
2. Sep 12, 2009

Bohrok

It's correct and looks fine. What do you mean by restrictions?

3. Sep 12, 2009

Precursor

I meant by the restrictions on x.

4. Sep 12, 2009

Bohrok

So you mean giving the (restricted) domain. You shouldn't have to include that, unless it will make you feel better by doing so. I wouldn't since the question didn't ask, and finding the domain for this one is a little involved.

5. Sep 12, 2009

Precursor

Alright, I'll stick with what I have. Thanks for the help. :)