\"\"

\

The functions are \"\" and \"\".

\

Two functions \"\" and \"\" are inverse functions if and only if both of their

\

composite functions are the identity function.

\

Find the composite functions of \"\" and \"\".

\

Find \"\".

\

\"\"                (Rewrite the function)

\

\"\"                 (Substitute \"\")

\

\"\"  (Substitute \"\")

\

\"\"                                            (Simplify)

\

\"\".

\

\"\"

\

Find \"\".

\

\"\"               (Rewrite the function)

\

\"\"                (Substitute \"\")

\

\"\" (Substitute \"\")

\

\"\"                                            (Simplify)

\

\"\".

\

Since \"\", the functions are inverses.\"\"

\

Yes, the functions are inverses.