document.write( "Question 390987: Find the inverse of the one-to-one function.
\n" ); document.write( "f(x) = 6/x-7
\n" ); document.write( "f^-1(x)=______\r
\n" ); document.write( "\n" ); document.write( "(the f^-1 is separate from the (x), not ^-1(x) ) \n" ); document.write( "

Algebra.Com's Answer #277288 by MathLover1(20850) $\"\"$ $\"About$

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$\"f%28x%29+=+%286%2Fx%29-7\"$ \r
\n" ); document.write( "\n" ); document.write( " 1. Replace $\"f%28x%29\"$ with $\"y\"$ .\r
\n" ); document.write( "\n" ); document.write( " $\"y=+6%2Fx-7\"$ \r
\n" ); document.write( "\n" ); document.write( "2. Reverse the roles of $\"x\"$ and $\"y\"$ , that is replace every occurrence of $\"x\"$ with $\"y\"$ and every occurrence of $\"y\"$ with $\"x\"$ .\r
\n" ); document.write( "\n" ); document.write( " $\"x=+6%2Fy-7\"$ \r
\n" ); document.write( "\n" ); document.write( "3. Solve for $\"y\"$ in terms of $\"x\"$ .\r
\n" ); document.write( "\n" ); document.write( " $\"x=+6%2Fy-7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+7=+6%2Fy\"$ .........multiply by $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%28x+%2B+7%29=+6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=+6%2F%28x+%2B+7%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "4. Replace $\"y\"$ with $\"f%5E-1%28x%29\"$ . \r
\n" ); document.write( "\n" ); document.write( " $\"f%5E-1%28x%29=+6%2F%28x+%2B+7%29\"$ \r
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