Given $f(x)=cx^3-9x+3$ and $f(2)=9$, find the value of $c$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given $f(x)=cx^3-9x+3$ and $f(2)=9$, find the value of $c$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
Given $f(x)=cx^3-9x+3$ and $f(2)=9$, find the value of $c$.
train