Question

For the function g(x) =32/x+3 , find (g-1 º g)(5).

Answer 1

The property of functions and inverses says that:
\[f^{-1}(f(x))=x=f(f^{-1}(x))\]
So:
\[g^{-1}(g(5))=5\]
As long as g(x) is defined at x=5.