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Let f(x)=x+1 and g(x)=2x. Also denote the inverse to these functions as f^{-1} and g^{-1}. Compute f(g^{-1}(f^{-1}(f^{-1}(g(f(5)))))).

 Aug 19, 2021
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$f(g^{-1}(f^{-1}(f^{-1}(g(f(5)))))) = 1/4$.

 Aug 20, 2021

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