Question

Help with his example?

Find f(x) and g(x) such that h(x)=(f∘g)(x)
h(x)=9/x-6
Suppose that g(x)=x-6
F(x)=

Answer 1

\[
h(x)=9/x-6 = 9/g(x)
\]

Answer 2

\[

h(x) = f(g(x)) = 9/g(x)
\implies
f(x) = 9/x
\]

Answer 3

This is all about patter recognition.

Answer 4

@wio Thank you! Your breakdown was easier to understand than my book. I think I can tackle some of these now.