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If \(f(x)=x^3+3x^2+3x+1\), find \(f(f^{-1}(2010))\).

 Jul 28, 2020
 #1
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Hint:  f( f-1(a) )  =  a.

 Jul 28, 2020
 #2
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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.

 Jul 29, 2020

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