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Suppose that $h(x)=f^{-1}(x)$. If $h(2)=10$, $h(10)=1$ and $h(1)=2$, what is $f(f(10))$?

 Mar 21, 2018
 #1
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\(h(x)=f^{-1}(x)\)

\(h(2)=10 \)

\(h(1)=2 \)

 

\(f(f(10) \)   ???

 

The points  (2,10)  and ( 1,2)  are on the graph of h(x)

Since h(x)  is the same as  f-1(x) ...then  the points  (10,2) and (2, 1)  are on the graph of f(x)

 

So   f(10)  = 2

 

And 

 

f(f(10)  =  f(2)    =     1

 

 

cool cool cool

 Mar 21, 2018

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