Function Magic

From: jk (jkaufman_at_shaw.ca)
Date: 07/19/04 

Date: 18 Jul 2004 17:34:34 -0700

Hello:

I have two function with the same domain, and a different ranges. Lets say
they are f(a)=b , and g(a)=c. What I want is a new function such that
h(b) = c. In other words h(f(a)) = c.

I am not a mathamtician by any means, but I imagine there is a solution.
I am just not sure about how to go about it. So, if someone can give
me the methodology, I can make a run at starting to solve this.

ps: this is not homework ;)

John