document.write( "Question 1150131: Find the inverse of these functions
\n" ); document.write( "F(f-1(x))
\n" ); document.write( "F-1(f(x))
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Algebra.Com's Answer #771519 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Very poorly posted; not clear.

\n" ); document.write( "(1) Are \"F\" and \"f\" the same? (If not, the question makes no sense at all.)

\n" ); document.write( "(2) Are the \"f-1\" and \"F-1\" supposed to be inverse functions, \"f^(-1)\" and \"F^(-1)\"?

\n" ); document.write( "If F and f are the same, and those are supposed to be inverse functions (the only way the post makes sense), then

\n" ); document.write( "f(f^(-1)(x)) = x

\n" ); document.write( "and

\n" ); document.write( "f^(-1)(f(x) = x

\n" ); document.write( "So each of those functions is equivalent to the identity function, g(x)=x.

\n" ); document.write( "And the inverse of the identity function is the identity function.

\n" ); document.write( "ANSWER: The inverse of each of the given functions is the identity function, g(x)=x.
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