# 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

Related Introductory Physics Homework Help News on Phys.org
Both problems are straightforward cases of applying the definitions.

What do you mean by applying the definitions?

Thanks

Write out the property that makes g an odd function in symbolic terms. See what it means with respect to h. Write out the property that f is an even/odd function. See what both mean with respect to h in symbolic terms by just plugging in all these definitions. Compare the behavior of h to the behavior of even and odd functions given in their definition.

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???

powp said:
So if
f of g with f being an odd function would result in h = f(g(-x)) = f(-x) ...
This line should read h = f(g(-x)) = f(-g(x)) if g is an odd function. We don't know that g(x)=-x, we just know that g(-x) = -g(x) if g is odd. If f is also an odd function, we get f(-g(x)) = -f(g(x)) = -h.