Question

If h(x)=(fog) (x) and h(x)= 4(x+1)^2, find f(x) and g(x)?
A)f(x)=(x+1)^2
g(x)=4x^2
B)f(x)=4x^2
g(x)=x+1
C)f(x)=4x^2
g(x)=(x+1)^2
D)f(x)=x+1
g(x)=4x^2

Answer 1

This should be useful.\[(f\circ g) (x) = f(g(x)) \]Now, you can plug in and check.