Solve Composite Function Homework: f(g(h(x)))

[Precursor]

Homework Statement

http://img171.imageshack.us/img171/543/pro3.png

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. 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. :)