## Algebra and Trigonometry 10th Edition

We have $g^{-1} (f^{-1}([f (g(x) ) ]))=g^{-1} (g(x))=x$ and $f(g (g^{-1} (f^{-1}(x))]))=f^{-1} (f(x))=x$ Thus, the result has been verified.