SOLUTION: Given a function, H(x), explain how to find its components, f(x) & g(x), such that f(g(x))=H(x). Also demonstrate by providing an example and working it out step by step. Explain

Algebra ->  Functions -> SOLUTION: Given a function, H(x), explain how to find its components, f(x) & g(x), such that f(g(x))=H(x). Also demonstrate by providing an example and working it out step by step. Explain      Log On


   

Question 577371: Given a function, H(x), explain how to find its components, f(x) & g(x), such that f(g(x))=H(x). Also demonstrate by providing an example and working it out step by step. Explain well and show all work.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
There is no specific method for finding components of any function. The best way is to know which operation(s) you do first, and let that be g(x). For example,

, you could let and , then f(g(x)) = h(x).

However, if then the simplest way is to let

and or something like that.