Suppose that

g(x)	=	2x + 1
h(x)	=	4x2 + 4x + 5.

Find a function f such that

f g = h.

(Think about what operations you would have to perform on the formula for g to end up with the formula for h.)

f(x) =

Now suppose that

f(x)	=	4x + 5
h(x)	=	4x2 + 4x + 1.

Use the same sort of reasoning to find a function g such that

f g = h.

g(x) =