Composite Function

[Precursor]

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

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?

[Bohrok]

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

[Precursor]

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

I meant by the restrictions on x.

[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. :smile: I wouldn't since the question didn't ask, and finding the domain for this one is a little involved.

[Precursor]

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