+128406 The inverse f is y = x - 1 And the inverse of g is y = x/2
g(f(5) sanys to put 5 into f and then evaluate this in g = 2(5 +1) = 2(6) = 12
And we want to put this result into the inverse of f = 12 - 1 = 11
And we want to put this result into f inverse, again = 11 - 1 = 10
And we want to put this result into g inverse = 10/2 = 5
Finally, we want to put this result into f = 5 + 1 = 6
+128406 The inverse f is y = x - 1 And the inverse of g is y = x/2
g(f(5) sanys to put 5 into f and then evaluate this in g = 2(5 +1) = 2(6) = 12
And we want to put this result into the inverse of f = 12 - 1 = 11
And we want to put this result into f inverse, again = 11 - 1 = 10
And we want to put this result into g inverse = 10/2 = 5
Finally, we want to put this result into f = 5 + 1 = 6
![Let $f(x)=x+1$ and $g(x)=2x$. Also denote the inverses to these functions as $f^{-1}$ and $g^{-1}$. Compute \[f(g^{-1}(f^{-1}(f^{-1}(g(f(5)))))).\]](/api/ssl-img-proxy?src=https%3A%2F%2Fdata.artofproblemsolving.com%2Faops20%2Flatex%2Fimages%2F7173498cb7d6717bf982d3af01f4bdc02c679eb5.png)
