SOLUTION: Write the function h(x)=(x^2-x+1)^8 as the composition of two functions f and g. I am lost and not sure of what to do with this problem.

Algebra ->  Functions -> SOLUTION: Write the function h(x)=(x^2-x+1)^8 as the composition of two functions f and g. I am lost and not sure of what to do with this problem.      Log On


   

Question 439737: Write the function h(x)=(x^2-x+1)^8 as the composition of two functions f and g.
I am lost and not sure of what to do with this problem.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let g%28x%29+=+x%5E2+-+x+%2B+1 and f%28x%29+=+x%5E8.
Then %28f+o+g%29%28x%29+=+f%28g%28x%29%29+=+h%28x%29=%28x%5E2-x%2B1%29%5E8