Directions: Find the 2 Functions f and g such that (f o g)(x)= h(x).

Question

1. h(x)=(2x+1)^2

Answer 1

There are more than one correct answers to this question. One would be
f(x) = x^2 and g(x) = 2x+1

Another would be
f(x) = x + 1 and g(x) = 4x^2 + 4x

Another would be
g(x) = (2x+2)^2 and f(x) = sqrt x

One could come up with other correct answers.

The teacher who assigned this problem should be aware that there is more than one answer.