Advanced Composition Function

[late drift]

Find the function f(x) such that f(g(x))=h(x) where h(x)=(x^2-3x+1)^3.

[late drift]

g(x)=2x-3

[ripe gorge]

!status

[thorny meteor]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[late furnace]

,tex $$f(g(x)) = h(x)$$
$$h(x) = \left(x^2 - 3x + 1 \right) ^3$$
$$g(x) = 2x - 3$$
$$f(2x - 3) = \left(x^2 - 3x + 1 \right)^3$$

[jovial harness]

@late furnace