SOLUTION: Let f(x)=x+2 and g(x)=x/3. Also denote the inverses to these functions as f^{-1} and g^{-1}. Compute f(g^{-1}(f^{-1}(f^{-1}(g(f(19)))))).

Question 1091007: Let f(x)=x+2 and g(x)=x/3. Also denote the inverses to these functions as f^{-1} and g^{-1}. Compute f(g^{-1}(f^{-1}(f^{-1}(g(f(19)))))).
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

There is nothing complicated about this except the notation. You just need to make sure you start with the innermost parentheses -- which means you work from right to left to evaluate the given expression.

As for the notation, let me use F and G for the inverses of the two given functions.

And of course you need to know that

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and
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Then...

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