Question
1. Given a function,H(x)explain how to find the components f(X)AND g(x) such that f(g(x)) = H(x)
2. let H(x)=(2x+5)^4 find the function f and , so that f(g(X))=H(x)
2. let H(x)=(2x+5)^4 find the function f and , so that f(g(X))=H(x)
Answers
Reiny
I would let
g(x) = 2x+5 , and
f(x) = x^4
check:
f(x) = x^4
f(g(x)) = f(2x+5) = (2x+5)^4
g(x) = 2x+5 , and
f(x) = x^4
check:
f(x) = x^4
f(g(x)) = f(2x+5) = (2x+5)^4