Directions: Find the 2 Functions f and g such that (f o g)(x)= h(x).
1. h(x)=(2x+1)^2
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.