Okay one more question.. well, more of a review of my work. Anyway...

I was told to find (f o g o h)(x).
I'll put the rest in the comments.

Question

Okay one more question.. well, more of a review of my work.  Anyway...

I was told to find (f o g o h)(x).
I'll put the rest in the comments.

anonymous · Answer

I know that (f o g o h)=f(g(h(x))), which seems pretty confusing but I understand it pretty well. Anyway,$$f(x)=3x$$$$g(x)=x-3$$$$h(x)=\sqrt{x}$$so what I did first was find (f o g) which is $$(f o g)=3x-9$$ and added h(x) to it to get$$(f o g o h)=3(\sqrt{x})-9$$

anonymous · Answer

does this need simplifying? if so, how do I simplify it?

anonymous · Answer

@phi can you check my work, please?

hartnn · Answer

your final answer is correct, but we first find g(h(x)) 
then f( g(h(x)))

anonymous · Answer

Ohh, okay that makes sense too (:

anonymous · Answer

So the final answer is correct? It doesn't need to be simplified any further?

anonymous · Answer

Moreso it CAN'T be simplified any further without the value of the variable?

phi · Answer

it looks good

hartnn · Answer

yeah, can't be simplified..

anonymous · Answer

Okay thank yous (: