document.write( "Question 956968: Hello,\r
\n" ); document.write( "\n" ); document.write( "Is it possible to find function f(x) such that its inverse f-1 = 1/f ? if so, what function(s) satisfies this claim?\r
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\n" ); document.write( "\n" ); document.write( "Thank you,\r
\n" ); document.write( "\n" ); document.write( "Muneef Halawa \n" ); document.write( "

Algebra.Com's Answer #584706 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Yes,
\n" ); document.write( " $\"f%28x%29=1%2Fx\"$ } has an inverse of
\n" ); document.write( " $\"f%5E%28-1%29%28x%29=1%2Fx\"$ so
\n" ); document.write( " $\"f%5E%28-1%29%28f%28x%29%29=1%2Ff=1%2F%281%2Fx%29=x\"$
\n" ); document.write( "So the inverse is the reciprocal of the function.
\n" ); document.write( "Example:
\n" ); document.write( " $\"f%282%29=0.5\"$
\n" ); document.write( " $\"f%5E%28-1%29%280.5%29=2\"$
\n" ); document.write( " $\"f%5E%28-1%29%28f%282%29%29=f%5E%28-1%29%280.5%29=2\"$
\n" ); document.write( "So $\"f%5E%28-1%29%28f%28x%29%29=x\"$ by definition, an inverse.
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