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Given that $f(x)$ is a function such that $f(1)=2$, $f(4)=3$, $f(7)=4$, and $f^{-1}(x)$ is the inverse of $f(x)$, what is $f^{-1}(f^{-1}(3))$?

 Jul 29, 2020
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Work from the inside out:  first find the inverse of 3 and then find the inverse of that answer.

 

Since  f(4) = 3,  f-1(3) = 4

 

Since f(7) = 4,  f-1(4) = 7.

 Jul 29, 2020

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