Suppose $f(x)$ is an invertible function, and suppose that $f(2)=f^{-1}(2)=4$.

What is the value of $f(f(2))$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Suppose $f(x)$ is an invertible function, and suppose that $f(2)=f^{-1}(2)=4$.

What is the value of $f(f(2))$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
Suppose $f(x)$ is an invertible function, and suppose that $f(2)=f^{-1}(2)=4$.

What is the value of $f(f(2))$?
train