# functional decomposition

• September 2nd 2009, 01:37 PM
diver15
functional decomposition
I would like help decomposeing a function involving exponents. here it is

H(x)=f(g(x))

if H(x)= (5x+3)^5

Would acceptable solutions be

f(x)=(x+3)^5 and g(x)=5x

or would you need to factor. any info on how to solve this problem would be much help.
• September 2nd 2009, 01:43 PM
Plato
Quote:

Originally Posted by diver15
I would like help decomposeing a function involving exponents. here it is
H(x)=f(g(x))
if H(x)= (5x+3)^5
Would acceptable solutions be
f(x)=(x+3)^5 and g(x)=5x

Yes that works. So does $f(x)=x^5~\&~g(x)=5x+3$