Problems with some work problems

Hello

I am having problems with two problems can somebody help me??

1. Suppose g is a odd function and let h = f of g. Is h always an odd function? What if f is odd? what if f is even??

2. Express the sufrace area of a cube as a function of the length of a side.

thanks any help would be great

P

 

What do you mean by applying the definitions?

Thanks

 

So if
f of g with f being an odd function would result in h = f(g(-x)) = f(-x) = -x so function h would be odd or -h(x) = h(-x)

and if was even it would result in h = f(g(-x)) = f(-x) = x so function h is even when f is even

Is this correct???

 

thanks for the reply :)