Find​ f(x) and​ g(x) such that ​h(x)equals​(fog)(x).

Question

Find​ f(x) and​ g(x) such that

​h(x)=​(f◦​g)(x).

​h(x)=​(4−2​x)^2

Suppose that ​g(x)=4−2x.

What is f(x) ?

Answer 1

f(g(x)) is replacing g(x) for x in f(x).

If f(x) = x , then f(3) = 3.

If f(g(x)) = (4 - 2x)² and g(x) = 4 - 2x, then f(x) = x².