If \(f(x)=x^3+3x^2+3x+1\), find \(f(f^{-1}(2010))\).
Hint: f( f-1(a) ) = a.
Wouldn't f-1(x) have to be given a valid domain in order for it to be a function?
So f( f-1(x) ) = f(x) would only be strictly true for a given domain ?
But yes, I guess that is what they are after.